Details

analyze985.0ms (5.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.8%	99.2%	0%	0%	0%	0
0%	0%	0.8%	99.2%	0%	0%	0%	1
0%	0%	0.8%	99.2%	0%	0%	0%	2
0%	0%	0.8%	99.2%	0%	0%	0%	3
0%	0%	0.8%	99.2%	0%	0%	0%	4
0%	0%	0.8%	99.2%	0%	0%	0%	5
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	6
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	7
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	8
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	9
60%	0.3%	0.2%	99.5%	0%	0%	0%	10
60%	0.3%	0.2%	99.5%	0%	0%	0%	11
60%	0.3%	0.2%	99.5%	0%	0%	0%	12

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample6.1s (34.5%)

Results

5.1s	8256×	body	256	valid
965.0ms	2034×	body	256	precondition

Bogosity

preprocess101.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify101.0ms (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

0.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	8.8b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Status

Error

Program

▶

1.1b

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

▶

8.8b

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

Compiler

Compiled 50 to 32 computations (36% saved)

localize91.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
✓	0.1b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.9b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series37.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	n0_i	@	0	(+.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))
2.0ms	u	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 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)
2.0ms	normAngle	@	0	(+.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))

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`fma-def_binary32`
343×	`expm1-udef_binary32`
342×	`log1p-udef_binary32`
292×	`log-pow_binary32`
270×	`fma-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	73
1	384	73
2	5222	73

Stop Event

1×	node limit

Counts

4 → 144

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

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-+r+_binary32`
385×	`fma-neg_binary32`
349×	`distribute-rgt-in_binary32`
329×	`associate--r+_binary32`
317×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3955
1	738	3803
2	2669	3746

Stop Event

1×	node limit

Counts

276 → 211

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))
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1
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(-.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)
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n0_i
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(*.f32 (-.f32 1 u) n0_i)
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n0_i
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(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))

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

localize51.0ms (0.3%)

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)
✓	0.2b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓	8.7b	(/.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)

series33.0ms (0.2%)

Counts

4 → 128

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	normAngle	@	inf	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
2.0ms	normAngle	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	n1_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))
1.0ms	n1_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))
1.0ms	n1_i	@	0	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify189.0ms (1.1%)

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)))))
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n0_i
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(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)

eval348.0ms (2%)

Compiler: Compiled 14679 to 5934 computations (59.6% saved)

prune157.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	449	18	467
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	451	18	469

Error

0.0b

Counts

469 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	17.1b	n0_i
▶	0.4b	(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u)))) (fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i)))
	9.0b	(/.f32 (+.f32 (.f32 u (.f32 normAngle (-.f32 n1_i (.f32 n0_i (cos.f32 normAngle))))) (.f32 (sin.f32 normAngle) (fma.f32 -1/2 (.f32 u (.f32 u (.f32 n0_i (.f32 normAngle normAngle)))) n0_i))) (sin.f32 normAngle))
	9.2b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	1.2b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	20.5b	(/.f32 (*.f32 (sin.f32 normAngle) n0_i) (sin.f32 normAngle))
▶	0.5b	(+.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)))
	1.3b	(+.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	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))))))
	7.3b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	17.2b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	0.8b	(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
	9.1b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
▶	0.8b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	8.9b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (pow.f32 (cbrt.f32 (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 3)) (sin.f32 normAngle))
	8.8b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	0.8b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))

Compiler

Compiled 765 to 502 computations (34.4% saved)

localize142.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (*.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u))))
✓	0.5b	(+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u)
✓	0.5b	(pow.f32 (-.f32 1 u) 3)
✓	11.9b	(+.f32 (pow.f32 (-.f32 1 u) 3) -1)

Compiler

Compiled 149 to 96 computations (35.6% saved)

series22.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	n0_i	@	0	(.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (*.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u))))
2.0ms	n0_i	@	inf	(.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (*.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u))))
1.0ms	n0_i	@	-inf	(.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (*.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u))))
1.0ms	u	@	0	(.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (*.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u))))
1.0ms	n1_i	@	0	(.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (*.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u))))

rewrite173.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`fma-neg_binary32`
356×	`expm1-udef_binary32`
355×	`log1p-udef_binary32`
210×	`add-sqr-sqrt_binary32`
204×	`pow1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	422	59
2	5957	59

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-neg-out_binary32`
557×	`fma-neg_binary32`
398×	`associate-+l+_binary32`
393×	`fma-def_binary32`
374×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1468
1	202	1396
2	618	1301
3	2420	1283
4	6197	1271

Stop Event

1×	node limit

Counts

209 → 180

Calls

Call 1

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

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

localize116.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series15.0ms (0.1%)

Counts

3 → 30

Calls

21 calls:

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

rewrite135.0ms (0.8%)

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 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(*.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)))))))

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

183 → 167

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 normAngle)
✓	0.0b	(*.f32 (sin.f32 normAngle) n0_i)
✓	11.3b	(/.f32 (*.f32 (sin.f32 normAngle) n0_i) (sin.f32 normAngle))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

15 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary32`
663×	`add-log-exp_binary32`
663×	`log1p-expm1-u_binary32`
663×	`expm1-log1p-u_binary32`
648×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	125	20
2	1737	20

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

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

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

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1194×	`fma-def_binary32`
690×	`unswap-sqr_binary32`
654×	`sqr-pow_binary32`
596×	`cube-prod_binary32`
431×	`fabs-mul_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	146
1	94	146
2	251	136
3	694	128
4	1605	128
5	2313	128
6	2603	128
7	3129	128
8	4020	128
9	4163	128
10	4390	128
11	4776	128
12	5372	128
13	6245	128
14	7352	128

Stop Event

1×	node limit

Counts

102 → 85

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(*.f32 n0_i normAngle)
(+.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 normAngle 3))) (*.f32 n0_i normAngle))
(+.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 normAngle 3))) (+.f32 (.f32 n0_i normAngle) (.f32 1/120 (*.f32 n0_i (pow.f32 normAngle 5)))))
(+.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 normAngle 3))) (+.f32 (.f32 n0_i normAngle) (+.f32 (.f32 -1/5040 (.f32 n0_i (pow.f32 normAngle 7))) (.f32 1/120 (*.f32 n0_i (pow.f32 normAngle 5))))))
normAngle
(+.f32 (*.f32 -1/6 (pow.f32 normAngle 3)) normAngle)
(+.f32 (.f32 1/120 (pow.f32 normAngle 5)) (+.f32 (.f32 -1/6 (pow.f32 normAngle 3)) normAngle))
(+.f32 (.f32 1/120 (pow.f32 normAngle 5)) (+.f32 (.f32 -1/5040 (pow.f32 normAngle 7)) (+.f32 (*.f32 -1/6 (pow.f32 normAngle 3)) normAngle)))

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

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 42 computations (42.5% saved)

series8.0ms (0%)

Counts

2 → 60

Calls

18 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	320	28
2	4313	28

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-neg_binary32`
477×	`associate-r_binary32`
454×	`cancel-sign-sub-inv_binary32`
451×	`associate-l_binary32`
382×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1308
1	274	1253
2	900	1235
3	4827	1233

Stop Event

1×	node limit

Counts

165 → 132

Calls

Call 1

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

localize196.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))
✓	0.4b	(.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
	0.5b	(pow.f32 (-.f32 1 u) 3)
✓	6.7b	(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))

Compiler

Compiled 204 to 136 computations (33.3% saved)

series13.0ms (0.1%)

Counts

3 → 84

Calls

24 calls:

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

rewrite119.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	465	60
2	6602	60

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-def_binary32`
401×	`distribute-rgt-out_binary32`
392×	`associate-l_binary32`
323×	`associate-r_binary32`
285×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1917
1	329	1727
2	1085	1543
3	4252	1501

Stop Event

1×	node limit

Counts

178 → 144

Calls

Call 1

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

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

eval561.0ms (3.2%)

Compiler: Compiled 24787 to 14701 computations (40.7% saved)

prune185.0ms (1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	825	17	842
Fresh	5	8	13
Picked	1	0	1
Done	3	1	4
Total	834	26	860

Error

0.0b

Counts

860 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (.f32 n1_i u))
▶	0.5b	(+.f32 (.f32 (+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	6.7b	(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 u n1_i))
	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))))))
	17.1b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
▶	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	0.6b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.7b	(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
	0.9b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	17.1b	n0_i
	9.2b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	13.0b	(*.f32 (-.f32 1 u) n0_i)
	1.2b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.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 (-.f32 1 u) (.f32 (+.f32 (.f32 -1/6 (+.f32 (pow.f32 (-.f32 1 u) 3) u)) 1/6) (.f32 normAngle normAngle)))))
	8.9b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (pow.f32 (cbrt.f32 (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 3)) (sin.f32 normAngle))
	6.9b	(+.f32 (*.f32 n1_i u) n0_i)
	0.6b	(+.f32 (.f32 (.f32 u (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.8b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
▶	0.7b	(+.f32 (.f32 (+.f32 (-.f32 1 (/.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))) n0_i) (*.f32 u n1_i))
▶	7.3b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	20.7b	(*.f32 u n1_i)
	9.1b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
	0.6b	(+.f32 (.f32 (.f32 n1_i (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
	0.8b	(+.f32 (.f32 n1_i u) (-.f32 n0_i (.f32 n0_i u)))
	8.8b	(/.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 966 to 649 computations (32.8% saved)

localize178.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 167 to 98 computations (41.3% saved)

series59.0ms (0.3%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
43.0ms	n0_i	@	inf	(.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))
1.0ms	n1_i	@	0	(+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
1.0ms	n0_i	@	0	(+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
1.0ms	n0_i	@	inf	(+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
1.0ms	u	@	0	(+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	421	64
2	5899	64

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) -1/6) (.f32 (neg.f32 u) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 u 9) (pow.f32 u 3)) -1/6) (+.f32 (pow.f32 u 6) (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 u 6) (.f32 u u)) -1/6) (+.f32 u (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (-.f32 (pow.f32 u 9) (pow.f32 u 3))) (+.f32 (pow.f32 u 6) (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (-.f32 (pow.f32 u 6) (.f32 u u))) (+.f32 u (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (-.f32 (pow.f32 u 3) u) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (-.f32 (pow.f32 u 3) u)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (-.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) (/.f32 (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2) (-.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) (pow.f32 (cbrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) 2) (cbrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) (sqrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 3) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 3)) (/.f32 1 (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (-.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2)) (/.f32 1 (-.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (-.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)))))) (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 3) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) (-.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 3) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 3)) (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (-.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 3) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 3)) (+.f32 (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2) (-.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2)) (-.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 3) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 3))) (neg.f32 (+.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (-.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2) (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2))) (neg.f32 (-.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2) (pow.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))) 2)) (-.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2)) (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 u (.f32 n0_i (fma.f32 u -1/2 1/2))))) (pow.f32 (exp.f32 (.f32 -1/6 (-.f32 n1_i n0_i))) (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (pow.f32 (pow.f32 (exp.f32 u) n0_i) (fma.f32 u -1/2 1/2)) 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simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	2417
1	197	2291
2	506	1961
3	1785	1765
4	5424	1765

Stop Event

1×	node limit

Counts

222 → 154

Calls

Call 1

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

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

localize22.0ms (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	n1_i	@	inf	(*.f32 u n1_i)
0.0ms	u	@	inf	(*.f32 u n1_i)
0.0ms	n1_i	@	-inf	(*.f32 u n1_i)
0.0ms	n1_i	@	0	(*.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))))))

simplify9.0ms (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)

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite98.0ms (0.6%)

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)))))))

simplify48.0ms (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)

localize84.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
✓	0.0b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
✓	0.0b	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i)
	1.9b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 55 to 22 computations (60% saved)

series10.0ms (0.1%)

Counts

3 → 88

Calls

24 calls:

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

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs

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

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

(/.f32 1 (sin.f32 normAngle))

Outputs

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-r_binary32`
448×	`associate-l_binary32`
408×	`distribute-rgt-in_binary32`
390×	`fma-def_binary32`
381×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1873
1	291	1795
2	918	1689
3	4316	1647

Stop Event

1×	node limit

Counts

201 → 152

Calls

Call 1

Inputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(/.f32 (.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 (.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 1 normAngle)
(+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))
(+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (.f32 7/360 (pow.f32 normAngle 3))))
(+.f32 (.f32 31/15120 (pow.f32 normAngle 5)) (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (*.f32 7/360 (pow.f32 normAngle 3)))))

Outputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 n1_i normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (/.f32 (.f32 -1/6 (.f32 (.f32 n1_i (pow.f32 u 3)) (pow.f32 normAngle 3))) (sin.f32 normAngle)))
(fma.f32 -1/6 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle)))
(fma.f32 -1/6 (.f32 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) n1_i) (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 n1_i normAngle))))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (+.f32 (.f32 u normAngle) (.f32 (.f32 -1/6 (pow.f32 u 3)) (pow.f32 normAngle 3))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (fma.f32 -1/6 (/.f32 (.f32 (.f32 n1_i (pow.f32 u 3)) (pow.f32 normAngle 3)) (sin.f32 normAngle)) (.f32 1/120 (/.f32 (.f32 (.f32 n1_i (pow.f32 u 5)) (pow.f32 normAngle 5)) (sin.f32 normAngle)))))
(+.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle)) (fma.f32 -1/6 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (.f32 1/120 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))))
(fma.f32 -1/6 (.f32 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) n1_i) (fma.f32 1/120 (.f32 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle)) n1_i) (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 n1_i normAngle)))))
(fma.f32 1/120 (.f32 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle)) n1_i) (.f32 (/.f32 n1_i (sin.f32 normAngle)) (+.f32 (.f32 u normAngle) (.f32 (.f32 -1/6 (pow.f32 u 3)) (pow.f32 normAngle 3)))))
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(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)))
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(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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)
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(+.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle)) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.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))
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(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle) (fma.f32 -1/6 (.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) n1_i) n0_i))
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(fma.f32 1/120 (.f32 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle)) n1_i) (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle) (fma.f32 -1/6 (.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) n1_i) n0_i)))
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(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
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(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)))
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(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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)))
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(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 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)
(+.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 n1_i u))) (.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 n1_i u n0_i))
(fma.f32 normAngle (.f32 (.f32 normAngle (*.f32 n1_i -1/6)) (-.f32 (pow.f32 u 3) u)) (fma.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)))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (.f32 1/120 n1_i) (pow.f32 u 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 (*.f32 1/120 n1_i) u))) (pow.f32 normAngle 4) (fma.f32 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 (pow.f32 u 5) (.f32 n1_i 1/120)) (fma.f32 1/120 (.f32 n1_i u) (.f32 1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4) (fma.f32 n1_i u n0_i)))
(fma.f32 normAngle (.f32 (.f32 normAngle (.f32 n1_i -1/6)) (-.f32 (pow.f32 u 3) u)) (fma.f32 (+.f32 (.f32 (.f32 n1_i 1/120) (-.f32 (pow.f32 u 5) u)) (.f32 -1/36 (*.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 4) (fma.f32 n1_i u n0_i)))
(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 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))))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (.f32 1/120 n1_i) (pow.f32 u 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 (.f32 1/120 n1_i) u))) (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (fma.f32 -1/5040 (.f32 n1_i u) (fma.f32 -1/6 (-.f32 (.f32 (.f32 1/120 n1_i) (pow.f32 u 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 (.f32 1/120 n1_i) u))) (.f32 1/120 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (*.f32 n1_i u))))))) (pow.f32 normAngle 6) (fma.f32 n1_i u n0_i))))
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(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)))
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(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
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(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
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(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
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(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)))
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(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i 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 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i 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 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(/.f32 1 normAngle)
(+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))
(+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6))
(fma.f32 normAngle 1/6 (/.f32 1 normAngle))
(+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (.f32 7/360 (pow.f32 normAngle 3))))
(+.f32 (/.f32 1 normAngle) (fma.f32 1/6 normAngle (*.f32 (pow.f32 normAngle 3) 7/360)))
(+.f32 (/.f32 1 normAngle) (fma.f32 normAngle 1/6 (*.f32 (pow.f32 normAngle 3) 7/360)))
(fma.f32 normAngle 1/6 (fma.f32 (pow.f32 normAngle 3) 7/360 (/.f32 1 normAngle)))
(+.f32 (.f32 31/15120 (pow.f32 normAngle 5)) (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (*.f32 7/360 (pow.f32 normAngle 3)))))
(fma.f32 31/15120 (pow.f32 normAngle 5) (+.f32 (/.f32 1 normAngle) (fma.f32 1/6 normAngle (*.f32 (pow.f32 normAngle 3) 7/360))))
(+.f32 (fma.f32 normAngle 1/6 (*.f32 (pow.f32 normAngle 3) 7/360)) (fma.f32 (pow.f32 normAngle 5) 31/15120 (/.f32 1 normAngle)))
(fma.f32 (pow.f32 normAngle 5) 31/15120 (fma.f32 normAngle 1/6 (fma.f32 (pow.f32 normAngle 3) 7/360 (/.f32 1 normAngle))))

localize140.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (+.f32 (-.f32 1 (/.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))) n0_i) (*.f32 u n1_i))
✓	0.1b	(.f32 (+.f32 (-.f32 1 (/.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))) n0_i)
✓	0.1b	(/.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))
✓	0.2b	(.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))

Compiler

Compiled 136 to 48 computations (64.7% saved)

series45.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
19.0ms	n0_i	@	0	(.f32 (+.f32 (-.f32 1 (/.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))) n0_i)
3.0ms	normAngle	@	0	(+.f32 (.f32 (+.f32 (-.f32 1 (/.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))) n0_i) (*.f32 u n1_i))
3.0ms	normAngle	@	0	(.f32 (+.f32 (-.f32 1 (/.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))) n0_i)
1.0ms	u	@	0	(/.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))
1.0ms	normAngle	@	-inf	(/.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 (sin.f32 normAngle) u))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

418×	`expm1-udef_binary32`
417×	`log1p-udef_binary32`
240×	`add-sqr-sqrt_binary32`
235×	`*-un-lft-identity_binary32`
235×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	101
1	463	94
2	6862	94

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

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

simplify190.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg_binary32`
665×	`fma-def_binary32`
365×	`associate-l_binary32`
352×	`associate-r_binary32`
342×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	3737
1	374	3550
2	1133	3271
3	5159	2985

Stop Event

1×	node limit

Counts

259 → 182

Calls

Call 1

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

Outputs
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
(.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))
(.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle))
(.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)))
u
(+.f32 (.f32 (-.f32 (.f32 -1/2 u) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)
(fma.f32 (.f32 u -1/3) (.f32 normAngle normAngle) u)
(fma.f32 (.f32 normAngle normAngle) (.f32 u -1/3) u)
(fma.f32 u (.f32 (.f32 normAngle normAngle) -1/3) u)
(+.f32 (.f32 (-.f32 (.f32 1/24 u) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/2 u) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 u) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u))
(fma.f32 (-.f32 (.f32 u 1/24) (fma.f32 1/120 u (.f32 -1/6 (.f32 u -1/3)))) (pow.f32 normAngle 4) (fma.f32 (.f32 u -1/3) (*.f32 normAngle normAngle) u))
(fma.f32 (-.f32 (.f32 u 1/30) (.f32 u 1/18)) (pow.f32 normAngle 4) (fma.f32 (.f32 normAngle normAngle) (.f32 u -1/3) u))
(fma.f32 u (.f32 (.f32 normAngle normAngle) -1/3) (fma.f32 (*.f32 u -1/45) (pow.f32 normAngle 4) u))
(fma.f32 (.f32 normAngle normAngle) (.f32 u -1/3) (fma.f32 (*.f32 u -1/45) (pow.f32 normAngle 4) u))
(+.f32 (.f32 (-.f32 (.f32 -1/720 u) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/24 u) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/2 u) (.f32 -1/6 u)))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 u) (.f32 -1/6 u))) (.f32 -1/5040 u)))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/24 u) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/2 u) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 u) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)))
(fma.f32 (-.f32 (.f32 u -1/720) (fma.f32 -1/6 (-.f32 (.f32 u 1/24) (fma.f32 1/120 u (.f32 -1/6 (.f32 u -1/3)))) (fma.f32 1/120 (.f32 u -1/3) (.f32 u -1/5040)))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 u 1/24) (fma.f32 1/120 u (.f32 -1/6 (.f32 u -1/3)))) (pow.f32 normAngle 4) (fma.f32 (.f32 u -1/3) (*.f32 normAngle normAngle) u)))
(fma.f32 (-.f32 (.f32 u -1/720) (fma.f32 -1/6 (-.f32 (.f32 u 1/30) (.f32 u 1/18)) (fma.f32 u -1/5040 (.f32 u -1/360)))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 u 1/30) (.f32 u 1/18)) (pow.f32 normAngle 4) (fma.f32 (.f32 normAngle normAngle) (.f32 u -1/3) u)))
(fma.f32 (.f32 u -1/45) (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 u -1/720) (fma.f32 -1/6 (.f32 u -1/45) (.f32 u -1/336))) (pow.f32 normAngle 6) (fma.f32 u (.f32 (.f32 normAngle normAngle) -1/3) u)))
(fma.f32 (.f32 u -1/45) (pow.f32 normAngle 4) (fma.f32 (neg.f32 (fma.f32 -1/6 (.f32 u -1/45) (.f32 u -1/630))) (pow.f32 normAngle 6) (fma.f32 (.f32 normAngle normAngle) (*.f32 u -1/3) u)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (cos.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))
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n0_i
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(*.f32 n1_i u)
(*.f32 u n1_i)
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(fma.f32 n1_i u (+.f32 n0_i (fma.f32 -1/2 (.f32 (.f32 u u) (.f32 (.f32 normAngle normAngle) n0_i)) (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n0_i))))))))
(fma.f32 -1/2 (.f32 u (.f32 u (.f32 (.f32 normAngle normAngle) n0_i))) (-.f32 (fma.f32 u n1_i n0_i) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u (*.f32 normAngle n0_i)))))
(fma.f32 u (-.f32 n1_i (.f32 (/.f32 (.f32 normAngle n0_i) (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 n0_i (fma.f32 -1/2 (.f32 (.f32 u normAngle) (.f32 u normAngle)) 1)))
(+.f32 n0_i (fma.f32 u n1_i (.f32 n0_i (.f32 (.f32 u normAngle) (-.f32 (.f32 -1/2 (*.f32 u normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))

eval473.0ms (2.7%)

Compiler: Compiled 17024 to 8394 computations (50.7% saved)

prune240.0ms (1.4%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	571	13	584
Fresh	6	14	20
Picked	1	0	1
Done	1	4	5
Total	579	31	610

Error

Counts

610 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f32 (.f32 (+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	17.1b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
✓	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	1.4b	(pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) 3)
	0.9b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
▶	0.6b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.9b	(+.f32 (.f32 (+.f32 (-.f32 1 u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/2 u) u))) n0_i) (.f32 u n1_i))
	17.1b	n0_i
	7.3b	(+.f32 n0_i (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
▶	13.0b	(*.f32 (-.f32 1 u) n0_i)
▶	1.2b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	0.8b	(-.f32 (fma.f32 u n1_i n0_i) (*.f32 u n0_i))
	9.2b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	10.0b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
▶	0.8b	(+.f32 (.f32 n0_i (+.f32 (-.f32 1 u) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 -1/2 u) 1/3))))) (.f32 u n1_i))
	8.8b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	6.9b	(+.f32 (*.f32 n1_i u) n0_i)
	0.6b	(+.f32 (.f32 (.f32 u (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.8b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))
	0.8b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
	0.6b	(+.f32 (.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
▶	25.0b	(-.f32 (+.f32 1 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) 1)
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	6.7b	(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 u n1_i))
	6.9b	(fma.f32 n1_i u n0_i)
	0.7b	(+.f32 (+.f32 n0_i (.f32 n0_i (.f32 (.f32 u normAngle) (-.f32 (.f32 -1/2 (.f32 u normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))) (.f32 u n1_i))
✓	20.7b	(*.f32 u n1_i)
	9.1b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
	0.7b	(fma.f32 n1_i u (.f32 n0_i (+.f32 (-.f32 1 u) (.f32 (+.f32 (.f32 -1/6 (+.f32 (pow.f32 (-.f32 1 u) 3) u)) 1/6) (.f32 normAngle normAngle)))))
	7.3b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))

Compiler

Compiled 1010 to 677 computations (33% saved)

localize156.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 133 to 85 computations (36.1% saved)

series51.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
38.0ms	u	@	inf	(+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3)))
2.0ms	n1_i	@	-inf	(.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (*.f32 n0_i -1/3))))
1.0ms	u	@	0	(.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (*.f32 n0_i -1/3))))
1.0ms	u	@	inf	(.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (*.f32 n0_i -1/3))))
1.0ms	n1_i	@	0	(.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (*.f32 n0_i -1/3))))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`fma-def_binary32`
801×	`log-prod_binary32`
406×	`fma-neg_binary32`
284×	`expm1-udef_binary32`
284×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	325	41
2	4501	41

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 n1_i 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 n1_i) 1/6)) (cbrt.f32 (pow.f32 (exp.f32 n1_i) 1/6)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 n1_i) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n1_i) 1/6))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n1_i) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 n1_i 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 n1_i 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 n1_i 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 n1_i 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 n1_i 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 n1_i 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 n1_i) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 n1_i 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 n1_i 1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 n0_i -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 -1/3) n0_i)) (cbrt.f32 (pow.f32 (exp.f32 -1/3) n0_i)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 -1/3) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -1/3) n0_i))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -1/3) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 n0_i -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 n0_i -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 n0_i -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 n0_i -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 n0_i 3) -1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 n0_i -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -1/3) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 n0_i -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 n0_i 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 n0_i -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 n0_i -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 n0_i -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 n0_i -1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i (.f32 (.f32 u -1/2) u)) (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) (.f32 n0_i (.f32 (.f32 u -1/2) u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 n0_i (.f32 (.f32 u -1/2) u)) 1) (.f32 (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 n0_i (.f32 (.f32 u -1/2) u)) 3) (pow.f32 (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) 3)) (fma.f32 (.f32 n0_i (.f32 (.f32 u -1/2) u)) (.f32 n0_i (.f32 (.f32 u -1/2) u)) (-.f32 (.f32 (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) (.f32 (.f32 n0_i (.f32 (.f32 u -1/2) u)) (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 n0_i (.f32 (.f32 u -1/2) u)) (.f32 n0_i (.f32 (.f32 u -1/2) u))) (.f32 (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) (-.f32 (.f32 n0_i (.f32 (.f32 u -1/2) u)) (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 (pow.f32 (.f32 n0_i u) 3) -1/8 (pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 3)) u) (fma.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (-.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 n0_i (.f32 u -1/2))) (pow.f32 (.f32 n0_i (.f32 u -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 (.f32 n0_i (.f32 u -1/2)) 2) (pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 2)) u) (-.f32 (.f32 n0_i (.f32 u -1/2)) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (fma.f32 (pow.f32 (.f32 n0_i u) 3) -1/8 (pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 3))) (fma.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (-.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 n0_i (.f32 u -1/2))) (pow.f32 (.f32 n0_i (.f32 u -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (-.f32 (pow.f32 (.f32 n0_i (.f32 u -1/2)) 2) (pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 2))) (-.f32 (.f32 n0_i (.f32 u -1/2)) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (fma.f32 n0_i (.f32 u -1/2) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u 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fma.f32 (.f32 (.f32 u -1/2) (pow.f32 (cbrt.f32 n0_i) 2)) (cbrt.f32 n0_i) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u -1/2) (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 1/6 (pow.f32 (cbrt.f32 n1_i) 2)) (cbrt.f32 n1_i) (fma.f32 n0_i 1/3 (.f32 n0_i (.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 1/6 (pow.f32 (cbrt.f32 n1_i) 2)) (cbrt.f32 n1_i) (neg.f32 (-.f32 (.f32 n0_i -1/3) (.f32 n0_i (.f32 u -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 1/6 (sqrt.f32 n1_i)) (sqrt.f32 n1_i) (fma.f32 n0_i 1/3 (.f32 n0_i (.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 1/6 (sqrt.f32 n1_i)) (sqrt.f32 n1_i) (neg.f32 (-.f32 (.f32 n0_i -1/3) (.f32 n0_i (*.f32 u -1/2)))))))))

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

593×	`unsub-neg_binary32`
401×	`distribute-rgt-in_binary32`
361×	`fma-def_binary32`
335×	`distribute-rgt-neg-in_binary32`
317×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	1188
1	134	1130
2	302	968
3	719	968
4	1974	968
5	4000	968
6	6168	968

Stop Event

1×	node limit

Counts

307 → 243

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize161.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 58 computations (41.4% saved)

series12.0ms (0.1%)

Counts

4 → 81

Calls

21 calls:

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

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`log-prod_binary32`
710×	`fma-def_binary32`
323×	`fma-neg_binary32`
297×	`expm1-udef_binary32`
296×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	342	48
2	4954	48

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -1/2 u 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 (.f32 u u) 1/4) (fma.f32 -1/2 u -1/3)) (/.f32 1/9 (fma.f32 -1/2 u -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 -1/2 u 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 -1/2 u 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 -1/2 u 1/3)) (cbrt.f32 (pow.f32 (fma.f32 -1/2 u 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 -1/2 u 1/3) 2)) (cbrt.f32 (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 -1/2 u 1/3)) (sqrt.f32 (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 -1/8 (pow.f32 u 3) 1/27) (/.f32 1 (-.f32 (fma.f32 (.f32 u u) 1/4 1/9) (.f32 u -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (.f32 u u) 1/4 -1/9) (/.f32 1 (fma.f32 -1/2 u -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (fma.f32 (.f32 u u) 1/4 1/9) (.f32 u -1/6)) (fma.f32 -1/8 (pow.f32 u 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 -1/2 u -1/3) (fma.f32 (.f32 u u) 1/4 -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 -1/8 (pow.f32 u 3) 1/27) (-.f32 (fma.f32 (.f32 u u) 1/4 1/9) (.f32 u -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 -1/8 (pow.f32 u 3) 1/27) (+.f32 1/9 (fma.f32 (.f32 u u) 1/4 (neg.f32 (.f32 u -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (.f32 u u) 1/4 -1/9) (fma.f32 -1/2 u -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 -1/8 (pow.f32 u 3) 1/27)) (neg.f32 (-.f32 (fma.f32 (.f32 u u) 1/4 1/9) (.f32 u -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 (.f32 u u) 1/4 -1/9)) (neg.f32 (fma.f32 -1/2 u -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1/9 (.f32 (.f32 u u) 1/4)) (-.f32 1/3 (.f32 -1/2 u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 -1/2 u 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 -1/2 u 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 -1/2 u 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 -1/2 u 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 -1/2 u 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 -1/2 u 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 -1/2 u 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (fma.f32 -1/2 u 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 u 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u -1/2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/2 u) 1 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 -1/2 u) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 u u)) (.f32 (cbrt.f32 u) -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 -1/2 u)) (pow.f32 (cbrt.f32 (.f32 -1/2 u)) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 -1/2 u)) 2) (cbrt.f32 (.f32 -1/2 u)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 -1/2 u)) (sqrt.f32 (.f32 -1/2 u)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/2 (cbrt.f32 (.f32 u u))) (cbrt.f32 u) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -1/2 (sqrt.f32 u)) (sqrt.f32 u) 1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/2 (.f32 u u)) (.f32 u 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u 1/3) (.f32 -1/2 (.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -1/2 (.f32 u u)) 1) (.f32 (.f32 u 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 -1/2 u 1/3))) (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 -1/2 u 1/3))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 -1/2 u 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 -1/2 u 1/3)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 -1/2 u 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u (fma.f32 -1/2 u 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u u)) 3) (pow.f32 (.f32 u 1/3) 3)) (fma.f32 (.f32 -1/2 (.f32 u u)) (.f32 -1/2 (.f32 u u)) (-.f32 (.f32 (.f32 u 1/3) (.f32 u 1/3)) (.f32 (.f32 -1/2 (.f32 u u)) (.f32 u 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 -1/2 (.f32 u u)) (.f32 -1/2 (.f32 u u))) (.f32 (.f32 u 1/3) (.f32 u 1/3))) (-.f32 (.f32 -1/2 (.f32 u u)) (.f32 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 -1/8 (pow.f32 u 3) 1/27) u) (-.f32 (fma.f32 (.f32 u u) 1/4 1/9) (.f32 u -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 (.f32 u u) 1/4 -1/9) u) (fma.f32 -1/2 u -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (fma.f32 -1/8 (pow.f32 u 3) 1/27)) (-.f32 (fma.f32 (.f32 u u) 1/4 1/9) (.f32 u -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (fma.f32 (.f32 u u) 1/4 -1/9)) (fma.f32 -1/2 u -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (fma.f32 -1/2 u 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (fma.f32 -1/2 u 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u (fma.f32 -1/2 u 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u (fma.f32 -1/2 u 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (fma.f32 -1/2 u 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (fma.f32 -1/2 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u (fma.f32 -1/2 u 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (.f32 u 1/3)) (exp.f32 (.f32 -1/2 (.f32 u u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u (fma.f32 -1/2 u 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u 3) (pow.f32 (fma.f32 -1/2 u 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (fma.f32 -1/2 u 1/3) 3) (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u 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(.f32 u (fma.f32 -1/2 u 1/3)))) (.f32 n0_i (-.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))) (fma.f32 -1/2 u 1/3) (.f32 n0_i (-.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))) (pow.f32 (cbrt.f32 n0_i) 2)) (cbrt.f32 n0_i) (.f32 n0_i (-.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))) (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (.f32 n0_i (-.f32 1 u)))))) (#(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 (.f32 u (fma.f32 -1/2 u 1/3)) (.f32 (.f32 normAngle normAngle) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 n0_i (sqrt.f32 (-.f32 1 u))) (sqrt.f32 (-.f32 1 u)) (.f32 (.f32 u (fma.f32 -1/2 u 1/3)) (.f32 (.f32 normAngle normAngle) 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 (.f32 u (fma.f32 -1/2 u 1/3)) (.f32 (.f32 normAngle normAngle) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 1 u) (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (.f32 (.f32 u (fma.f32 -1/2 u 1/3)) (.f32 (.f32 normAngle normAngle) n0_i)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle)) (.f32 (.f32 u 1/3) (.f32 normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -1/2 u) (.f32 u (.f32 normAngle normAngle))) (.f32 1/3 (.f32 u (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/3 (.f32 u (.f32 normAngle normAngle))) (.f32 (.f32 -1/2 u) (.f32 u (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 normAngle normAngle) (.f32 -1/2 (.f32 u u))) (.f32 (.f32 normAngle normAngle) (.f32 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) (.f32 -1/2 u)) (.f32 (.f32 u (.f32 normAngle normAngle)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) 1/3) (.f32 (.f32 u (.f32 normAngle normAngle)) (.f32 -1/2 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (.f32 u (fma.f32 -1/2 u 1/3)))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (.f32 u (fma.f32 -1/2 u 1/3)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (.f32 u (fma.f32 -1/2 u 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (.f32 u (fma.f32 -1/2 u 1/3))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (.f32 u (fma.f32 -1/2 u 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 -1/8 (pow.f32 u 3) 1/27)) (-.f32 (fma.f32 (.f32 u u) 1/4 1/9) (.f32 u -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 (.f32 u u) 1/4 -1/9)) (fma.f32 -1/2 u -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 normAngle (sqrt.f32 (.f32 u (fma.f32 -1/2 u 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 normAngle 4) (pow.f32 (.f32 u (fma.f32 -1/2 u 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (.f32 u (fma.f32 -1/2 u 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (fma.f32 -1/2 u 1/3) (.f32 u (.f32 normAngle normAngle)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/2 u) (.f32 u (.f32 normAngle normAngle)) (.f32 1/3 (.f32 u (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/3 (.f32 u (.f32 normAngle normAngle)) (.f32 (.f32 -1/2 u) (.f32 u (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 normAngle normAngle) (.f32 -1/2 (.f32 u u)) (.f32 (.f32 normAngle normAngle) (.f32 u 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/2 (.f32 u u)) (.f32 normAngle normAngle) (.f32 (.f32 u 1/3) (.f32 normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (.f32 normAngle normAngle)) (.f32 -1/2 u) (.f32 (.f32 u (.f32 normAngle normAngle)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (.f32 normAngle normAngle)) 1/3 (.f32 (.f32 u (.f32 normAngle normAngle)) (.f32 -1/2 u)))))))

simplify132.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1017×	`fma-neg_binary32`
694×	`cancel-sign-sub-inv_binary32`
382×	`*-commutative_binary32`
343×	`distribute-rgt-neg-in_binary32`
330×	`sub-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1204
1	154	1202
2	402	1155
3	1485	1155
4	3422	1155
5	7554	1155

Stop Event

1×	node limit

Counts

273 → 229

Calls

Call 1

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

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

localize76.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (fma.f32 u (-.f32 n1_i n0_i) n0_i))
	0.1b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
✓	24.9b	(-.f32 (+.f32 1 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) 1)

Compiler

Compiled 35 to 13 computations (62.9% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`prod-diff_binary32`
618×	`unpow-prod-down_binary32`
450×	`fma-def_binary32`
415×	`log-prod_binary32`
252×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	205	19
2	2996	19

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

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

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-neg_binary32`
743×	`fma-def_binary32`
128×	`cancel-sign-sub-inv_binary32`
101×	`associate--r+_binary32`
100×	`sub-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	624
1	82	616
2	174	614
3	337	614
4	615	614
5	1205	614
6	1997	614
7	2607	614
8	2827	614
9	2837	614

Stop Event

1×

saturated

Counts

239 → 189

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

localize63.0ms (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)
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	0.1b	(*.f32 (-.f32 1 u) n0_i)
	1.9b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 67 to 30 computations (55.2% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	320	21
2	4321	21

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-/l*_binary32`
421×	`distribute-rgt-in_binary32`
393×	`distribute-lft-in_binary32`
392×	`cancel-sign-sub-inv_binary32`
389×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1244
1	250	1105
2	788	1093
3	3796	1082

Stop Event

1×	node limit

Counts

121 → 97

Calls

Call 1

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

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

eval571.0ms (3.2%)

Compiler: Compiled 24192 to 13014 computations (46.2% saved)

prune271.0ms (1.5%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	959	12	971
Fresh	5	17	22
Picked	1	0	1
Done	2	6	8
Total	967	35	1002

Error

Counts

1002 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(+.f32 (.f32 (-.f32 (+.f32 (.f32 (+.f32 1/3 (.f32 -1/2 u)) (.f32 u (pow.f32 normAngle 2))) 1) u) n0_i) (*.f32 u n1_i))
✓	0.5b	(+.f32 (.f32 (+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.8b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	6.7b	(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 u n1_i))
	1.4b	(pow.f32 (cbrt.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) 3)
	17.1b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
✓	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	13.0b	(-.f32 n0_i (*.f32 n0_i u))
	9.2b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	0.8b	(+.f32 (.f32 n0_i (+.f32 (-.f32 1 u) (.f32 (.f32 normAngle normAngle) (.f32 u 1/3)))) (*.f32 u n1_i))
	7.3b	(+.f32 n0_i (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
✓	13.0b	(*.f32 (-.f32 1 u) n0_i)
	17.1b	n0_i
	1.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	10.0b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	0.6b	(+.f32 (.f32 (.f32 (-.f32 (.f32 1/6 n1_i) (.f32 -1/3 n0_i)) u) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.8b	(-.f32 (fma.f32 u n1_i n0_i) (*.f32 u n0_i))
	0.7b	(fma.f32 n1_i u (.f32 n0_i (+.f32 (-.f32 1 u) (.f32 (+.f32 (.f32 -1/6 (+.f32 (pow.f32 (-.f32 1 u) 3) u)) 1/6) (.f32 normAngle normAngle)))))
	4.7b	(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
✓	0.8b	(+.f32 (.f32 n0_i (+.f32 (-.f32 1 u) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 -1/2 u) 1/3))))) (.f32 u n1_i))
	8.8b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	6.9b	(+.f32 (*.f32 n1_i u) n0_i)
	0.6b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (.f32 normAngle normAngle) u) n1_i))
	0.6b	(+.f32 (.f32 (.f32 (.f32 1/6 n1_i) u) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
	25.0b	(-.f32 (+.f32 1 (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)) 1)
	25.1b	(+.f32 (fma.f32 u (-.f32 n1_i n0_i) (-.f32 n0_i 1)) 1)
	0.8b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	6.9b	(fma.f32 n1_i u n0_i)
	0.7b	(+.f32 (+.f32 n0_i (.f32 n0_i (.f32 (.f32 u normAngle) (-.f32 (.f32 -1/2 (.f32 u normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))) (.f32 u n1_i))
	0.9b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
✓	20.7b	(*.f32 u n1_i)
	9.1b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
	7.3b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))

Compiler

Compiled 592 to 398 computations (32.8% saved)

regimes438.0ms (2.5%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

5 calls:

125.0ms	n0_i
109.0ms	u
84.0ms	normAngle
62.0ms	n1_i
32.0ms	(+.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))

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 1002 to 480 computations (52.1% saved)

regimes444.0ms (2.5%)

Counts

59 → 1

Calls

Call 1

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

Outputs

(+.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)))

Calls

5 calls:

102.0ms	n0_i
98.0ms	u
55.0ms	n1_i
51.0ms	(+.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))
49.0ms	normAngle

Results

Error	Segments	Branch
0.5b	1	`normAngle`
0.5b	1	`u`
0.5b	1	`n0_i`
0.5b	1	`n1_i`
0.5b	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 919 to 441 computations (52% saved)

regimes178.0ms (1%)

Counts

54 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

66.0ms	normAngle
33.0ms	n1_i
29.0ms	u
29.0ms	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 762 to 360 computations (52.8% saved)

regimes139.0ms (0.8%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	n1_i
27.0ms	u
24.0ms	n0_i
23.0ms	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 655 to 315 computations (51.9% saved)

regimes110.0ms (0.6%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	normAngle
16.0ms	n1_i
16.0ms	n0_i
16.0ms	u

Results

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

Compiler

Compiled 367 to 172 computations (53.1% saved)

regimes111.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	u
17.0ms	n0_i
15.0ms	n1_i
15.0ms	normAngle

Results

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

Compiler

Compiled 281 to 120 computations (57.3% saved)

regimes76.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	n0_i
21.0ms	u
14.0ms	n1_i
12.0ms	normAngle

Results

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

Compiler

Compiled 183 to 86 computations (53% saved)

regimes81.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	u
15.0ms	n1_i
5.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
6.9b	1	`normAngle`
6.9b	1	`u`
6.9b	1	`n0_i`
5.0b	3	`n1_i`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.522959965886827e-19	2.6335623831037856e-19
0.0ms	-1.1800347643699544e-26	-6.109194228342141e-27

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes77.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	n0_i
24.0ms	n1_i
10.0ms	normAngle
9.0ms	u

Results

Error	Segments	Branch
13.0b	1	`normAngle`
13.0b	1	`u`
9.4b	3	`n0_i`
9.1b	3	`n1_i`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.6148090216340158e-14	1.7424829754000143e-14
0.0ms	-8.654632195162514e-16	-3.827970587537942e-16

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes88.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)

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

Calls

4 calls:

35.0ms	normAngle
22.0ms	n1_i
22.0ms	n0_i
7.0ms	u

Results

Error	Segments	Branch
17.1b	1	`normAngle`
17.1b	1	`u`
13.2b	3	`n0_i`
12.7b	3	`n1_i`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.6148090216340158e-14	1.7424829754000143e-14
0.0ms	-2.5914443625653285e-18	-8.241739661227623e-19

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes29.0ms (0.2%)

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:

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

Results

Error	Segments	Branch
17.1b	1	`normAngle`
17.1b	1	`u`
17.1b	1	`n0_i`
17.1b	1	`n1_i`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

239×	`distribute-rgt-neg-in_binary32`
194×	`cancel-sign-sub-inv_binary32`
163×	`distribute-lft-neg-out_binary32`
149×	`distribute-lft-neg-in_binary32`
143×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	335
1	146	335
2	177	335
3	193	335
4	216	335
5	229	335
6	247	335
7	286	335
8	388	335
9	520	335
10	696	335
11	928	335
12	1185	335
13	1449	335
14	1662	335
15	1806	335
16	1866	335
17	1874	335
18	1874	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u)))) (fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i)))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 (.f32 1/6 n1_i) u) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -6490371/649037107316853453566312041152512) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 7737125/38685626227668133590597632) (-.f32 n0_i (.f32 n0_i u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -9444733/18889465931478580854784) (.f32 u n1_i) (if (<=.f32 n1_i 10035029/590295810358705651712) (-.f32 n0_i (.f32 n0_i u)) (*.f32 u n1_i)))
(if (<=.f32 n1_i -9671407/9671406556917033397649408) (.f32 u n1_i) (if (<=.f32 n1_i 10035029/590295810358705651712) n0_i (.f32 u n1_i)))
n0_i

Outputs
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 n0_i (+.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) -1) u)))) (fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i)))
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (+.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (fma.f32 (-.f32 1 u) n0_i (*.f32 n1_i u)))
(+.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 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (+.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))))) (pow.f32 normAngle 2)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (+.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) 1/6)) (pow.f32 normAngle 2)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (+.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 -1/6 (-.f32 (.f32 n0_i (+.f32 u -1)) (.f32 n1_i u)))) (pow.f32 normAngle 2)))
(+.f32 (.f32 (+.f32 (.f32 (.f32 u n0_i) (+.f32 (.f32 u -1/2) 1/2)) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 (+.f32 (.f32 u -1/2) 1/2) (.f32 u n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 (+.f32 (.f32 u -1/2) 1/2) (.f32 u n0_i)) (.f32 (-.f32 n0_i n1_i) (.f32 -1/6 (-.f32 u (pow.f32 u 3)))))))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 (+.f32 (.f32 u -1/2) 1/2) (.f32 u n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 1/6 (-.f32 u (pow.f32 u 3)))))))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3))))))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (-.f32 (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3)) (.f32 n0_i (.f32 u 1/2))))))
(+.f32 (.f32 (.f32 (.f32 1/6 n1_i) u) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (*.f32 n1_i 1/6))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -6490371/649037107316853453566312041152512) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 7737125/38685626227668133590597632) (-.f32 n0_i (.f32 n0_i u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -6490371/649037107316853453566312041152512) (+.f32 n0_i (.f32 n1_i u)) (if (<=.f32 n1_i 7737125/38685626227668133590597632) (-.f32 n0_i (.f32 u n0_i)) (+.f32 n0_i (*.f32 n1_i u))))
(if (<=.f32 n1_i -9444733/18889465931478580854784) (.f32 u n1_i) (if (<=.f32 n1_i 10035029/590295810358705651712) (-.f32 n0_i (.f32 n0_i u)) (*.f32 u n1_i)))
(if (<=.f32 n1_i -9444733/18889465931478580854784) (.f32 n1_i u) (if (<=.f32 n1_i 10035029/590295810358705651712) (-.f32 n0_i (.f32 u n0_i)) (*.f32 n1_i u)))
(if (<=.f32 n1_i -9671407/9671406556917033397649408) (.f32 u n1_i) (if (<=.f32 n1_i 10035029/590295810358705651712) n0_i (.f32 u n1_i)))
(if (<=.f32 n1_i -9671407/9671406556917033397649408) (.f32 n1_i u) (if (<=.f32 n1_i 10035029/590295810358705651712) n0_i (.f32 n1_i u)))
n0_i

Compiler

Compiled 274 to 179 computations (34.7% saved)

soundness147.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-+r+_binary32`
385×	`fma-neg_binary32`
349×	`distribute-rgt-in_binary32`
329×	`associate--r+_binary32`
317×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3955
1	738	3803
2	2669	3746

Stop Event

1×	node limit

Compiler

Compiled 1027 to 730 computations (28.9% saved)

end305.0ms (1.7%)

Compiler: Compiled 234 to 127 computations (45.7% saved)