Curve intersection, scale width based on ribbon orientation

Time bar (total: 10.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze645.0ms (6.1%)

Memory
-121.3MiB live, 611.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
16.7%0.1%0.5%99.2%0%0.2%0%6
25%0.1%0.4%99.2%0%0.2%0%7
25%0.1%0.4%99.2%0%0.2%0%8
25%0.1%0.4%99.2%0%0.2%0%9
45%0.2%0.3%99.2%0%0.3%0%10
52.5%0.3%0.2%99.2%0%0.3%0%11
52.5%0.3%0.2%99.2%0%0.3%0%12
Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.5s (33.2%)

Memory
93.8MiB live, 4 172.6MiB allocated
Samples
2.2s8 256×0valid
507.0ms2 045×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-<=: 556.0ms (25.5% of total)
ival-mult: 475.0ms (21.8% of total)
ival-sin: 426.0ms (19.6% of total)
ival-div: 227.0ms (10.4% of total)
const: 205.0ms (9.4% of total)
ival-pi: 84.0ms (3.9% of total)
ival-add: 68.0ms (3.1% of total)
ival-sub: 57.0ms (2.6% of total)
ival-and: 53.0ms (2.4% of total)
exact: 22.0ms (1% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain335.0ms (3.2%)

Memory
12.8MiB live, 639.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-19(8.23259190513942e-35 1.455284746043617e-6 5.0151684138006097e-26 -1.7628774051033206e-29)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
00-0-(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
00-0-(*.f32 u normAngle)
00-0-n1_i
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
00-0-n0_i
00-0-normAngle
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
00-0-#s(literal 1 binary32)
00-0-(sin.f32 (*.f32 u normAngle))
00-0-u
00-0-(sin.f32 normAngle)
00-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
Confusion
Predicted +Predicted -
+06
-0250
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+006
-00250
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
89.0ms500×0valid
3.0ms12×1valid
Compiler

Compiled 433 to 126 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-sin: 41.0ms (57.1% of total)
ival-mult: 20.0ms (27.9% of total)
ival-div: 4.0ms (5.6% of total)
ival-sub: 3.0ms (4.2% of total)
ival-add: 2.0ms (2.8% of total)
ival-true: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess128.0ms (1.2%)

Memory
8.5MiB live, 78.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106368
1279300
2741283
31977255
43516252
56491252
01725
02925
14821
28820
315618
420318
523818
628218
736718
851018
960918
1073518
11117318
12188618
13229318
14231218
15231318
16231318
0231317
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
Symmetry

(abs normAngle)

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 25 to 17 computations (32% saved)

simplify89.0ms (0.8%)

Memory
-50.7MiB live, 38.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff160
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff3616
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
029101
14889
28888
315686
420386
523886
628286
736786
851086
960986
1073586
11117386
12188686
13229386
14231286
15231386
16231386
0231385
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 u normAngle)
(*.f32 normAngle u)
n1_i

localize51.0ms (0.5%)

Memory
-6.2MiB live, 69.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.16796875
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.41701127930532605
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy1.1636065998710434
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
38.0ms250×0valid
1.0ms1valid
Compiler

Compiled 204 to 36 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 14.0ms (47.2% of total)
ival-sin: 11.0ms (37.1% of total)
ival-div: 2.0ms (6.7% of total)
ival-add: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
18.5MiB live, 55.9MiB allocated
Counts
5 → 49
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(* normAngle (- 1 u))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (* normAngle u) (sin normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
u
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
5.0ms
n0_i
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
5.0ms
normAngle
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
4.0ms
normAngle
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
3.0ms
normAngle
@inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))

simplify171.0ms (1.6%)

Memory
-17.1MiB live, 262.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03211541
19871444
233911384
081291298
Stop Event
iter limit
node limit
Counts
49 → 46
Calls
Call 1
Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(* normAngle (- 1 u))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (* normAngle u) (sin normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) normAngle) normAngle (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u)
(* n0_i (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (neg.f32 normAngle) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
(/ (* normAngle u) (sin normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) u)
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u)
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) u) (/.f32 n0_i (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* -1 (* normAngle u))
(*.f32 (neg.f32 u) normAngle)
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)

rewrite190.0ms (1.8%)

Memory
27.2MiB live, 182.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01763
02953
18353
246952
3484552
0848951
Stop Event
iter limit
node limit
iter limit
Counts
5 → 240
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))))
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32))))
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(fma.f32 (neg.f32 u) normAngle normAngle)
(fma.f32 #s(literal -1 binary32) (*.f32 normAngle u) normAngle)
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 (neg.f32 u) normAngle))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) #s(literal -1 binary32))
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle))

eval206.0ms (2%)

Memory
-3.6MiB live, 87.3MiB allocated
Compiler

Compiled 11 569 to 1 089 computations (90.6% saved)

prune124.0ms (1.2%)

Memory
-10.7MiB live, 28.3MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New25821279
Fresh000
Picked101
Done000
Total25921280
Accuracy
99.9%
Counts
280 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))))))
15.5%
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 6 binary32))) (*.f32 (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) (+.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 4 binary32))) (pow.f32 (/.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) #s(literal 2 binary32)))))
63.2%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (-.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))))
81.5%
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.9%
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.0%
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.9%
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
60.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.5%
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.7%
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.6%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i))
96.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
98.9%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
97.6%
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.1%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
82.0%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
5.4%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))) (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))))
40.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
52.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
41.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
Compiler

Compiled 1 782 to 926 computations (48% saved)

simplify146.0ms (1.4%)

Memory
6.9MiB live, 46.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff96
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff3616
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
cost-diff6464
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)))
cost-diff64
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)
cost-diff160
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff160
(*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff3616
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
cost-diff0
(*.f32 normAngle u)
cost-diff0
(sin.f32 (*.f32 normAngle u))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
cost-diff3552
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
cost-diff0
(*.f32 n1_i u)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff160
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff64
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057532
097513
1154472
2223472
3322460
4446460
5601458
6822458
71244458
81648458
92146458
103537458
113894458
123939458
133957458
143971458
153971458
164015458
174046458
184046458
194046458
04046449
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle))
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)
(*.f32 (neg.f32 u) normAngle)
(neg.f32 u)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)))
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))
(log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
#s(literal -1 binary32)
n1_i
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (neg.f32 u) normAngle)
(neg.f32 u)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
#s(literal 1 binary32)
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 u normAngle)
(*.f32 normAngle u)
n1_i
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))
(neg.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
#s(literal -1 binary32)
n1_i

localize156.0ms (1.5%)

Memory
6.8MiB live, 198.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.41701127930532605
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy1.1239764598199218
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))
accuracy1.5792743766098798
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)))
accuracy0.1171875
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
accuracy0.12890625
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.41701127930532605
(*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy1.1636065998710434
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy0.04296875
(/.f32 n1_i (sin.f32 normAngle))
accuracy0.16796875
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.28125
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
accuracy15.354105587067002
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
accuracy0
(-.f32 #s(literal 1 binary32) u)
accuracy0
(*.f32 n1_i u)
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
accuracy19.430893534634517
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy0.1171875
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
accuracy0.12890625
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.16796875
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.41701127930532605
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
84.0ms250×0valid
4.0ms1valid
Compiler

Compiled 1 017 to 103 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 29.0ms (46.6% of total)
ival-sin: 10.0ms (16.1% of total)
ival-div: 8.0ms (12.9% of total)
ival-add: 6.0ms (9.6% of total)
ival-exp: 3.0ms (4.8% of total)
ival-log: 3.0ms (4.8% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series203.0ms (1.9%)

Memory
14.2MiB live, 324.2MiB allocated
Counts
24 → 126
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i u)
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))
Outputs
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ 1 (* -1 u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(* normAngle (+ 1 (* -1 u)))
(* -1 (log (/ 1 u)))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u))))))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* -1/24 (* (pow normAngle 2) (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))) (* (pow normAngle 2) (+ (* -1/24 (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))) (* -1/720 (* (pow normAngle 2) (+ (* -720 (* u (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (+ (* -240 (* (pow u 3) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 3))) (* 720 (* (pow u 2) (* (+ (* -1/6 u) (* 1/6 (/ 1 u))) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))))))))))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(* n0_i (+ 1 (* -1 u)))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(/ 1 u)
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (* 1/120 (/ 1 u))) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(sin (* normAngle (- 1 u)))
(sin (* normAngle u))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(* -1 (log (/ (sin normAngle) (sin (* normAngle u)))))
(/ n1_i (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (sin normAngle) (sin (* normAngle u)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(* -1 (* normAngle (- u 1)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* n1_i u)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(/ (* normAngle u) (sin normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u))))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* -1/6 (* (pow normAngle 2) (pow u 2))))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* -1/24 (* (pow u 2) (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4))))))))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* (pow u 2) (+ (* -1/24 (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))) (* -1/720 (* (pow u 2) (+ (* -720 (/ (* normAngle (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))))))) (sin normAngle))) (+ (* 10/9 (pow normAngle 6)) (* 120 (/ (* (pow normAngle 3) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))))))))))))
(/ (sin normAngle) (* normAngle u))
(/ (+ (* 1/6 (* normAngle (* (pow u 2) (sin normAngle)))) (/ (sin normAngle) normAngle)) u)
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u)
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))))))) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u)
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
Calls

12 calls:

TimeVariablePointExpression
48.0ms
u
@inf
((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u))))
46.0ms
normAngle
@inf
((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u))))
23.0ms
u
@-inf
((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u))))
20.0ms
normAngle
@-inf
((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u))))
15.0ms
normAngle
@0
((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u))))

simplify182.0ms (1.7%)

Memory
-5.9MiB live, 231.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07553835
126153557
083173295
Stop Event
iter limit
node limit
Counts
126 → 123
Calls
Call 1
Inputs
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ 1 (* -1 u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(* normAngle (+ 1 (* -1 u)))
(* -1 (log (/ 1 u)))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u))))))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* -1/24 (* (pow normAngle 2) (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))) (* (pow normAngle 2) (+ (* -1/24 (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))) (* -1/720 (* (pow normAngle 2) (+ (* -720 (* u (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (+ (* -240 (* (pow u 3) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 3))) (* 720 (* (pow u 2) (* (+ (* -1/6 u) (* 1/6 (/ 1 u))) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))))))))))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(* n0_i (+ 1 (* -1 u)))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(/ 1 u)
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (* 1/120 (/ 1 u))) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(sin (* normAngle (- 1 u)))
(sin (* normAngle u))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(* -1 (log (/ (sin normAngle) (sin (* normAngle u)))))
(/ n1_i (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (sin normAngle) (sin (* normAngle u)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(* -1 (* normAngle (- u 1)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* n1_i u)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(/ (* normAngle u) (sin normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u))))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* -1/6 (* (pow normAngle 2) (pow u 2))))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* -1/24 (* (pow u 2) (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4))))))))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* (pow u 2) (+ (* -1/24 (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))) (* -1/720 (* (pow u 2) (+ (* -720 (/ (* normAngle (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))))))) (sin normAngle))) (+ (* 10/9 (pow normAngle 6)) (* 120 (/ (* (pow normAngle 3) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))))))))))))
(/ (sin normAngle) (* normAngle u))
(/ (+ (* 1/6 (* normAngle (* (pow u 2) (sin normAngle)))) (/ (sin normAngle) normAngle)) u)
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u)
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))))))) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u)
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
Outputs
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n0_i (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32)) n0_i)))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(*.f32 (-.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) normAngle)
(* normAngle u)
(*.f32 normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle)
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 7 binary32)) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) u)
(* normAngle (+ 1 (* -1 u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* -1 (log (/ 1 u)))
(log.f32 u)
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u))))))
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) normAngle) normAngle (log.f32 u))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* -1/24 (* (pow normAngle 2) (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))
(fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) #s(literal 2 binary32)) u) u) (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) u))) normAngle) normAngle (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u)) (*.f32 normAngle normAngle) (log.f32 u))
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))) (* (pow normAngle 2) (+ (* -1/24 (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))) (* -1/720 (* (pow normAngle 2) (+ (* -720 (* u (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (+ (* -240 (* (pow u 3) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 3))) (* 720 (* (pow u 2) (* (+ (* -1/6 u) (* 1/6 (/ 1 u))) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) #s(literal 2 binary32)) u) u) (fma.f32 #s(literal -1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) u) (*.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 normAngle normAngle)) (fma.f32 (*.f32 #s(literal -720 binary32) u) (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (pow.f32 u #s(literal 4 binary32)) (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/5040 binary32) (/.f32 #s(literal 1/5040 binary32) u)))) (fma.f32 (*.f32 #s(literal -240 binary32) (pow.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) #s(literal 3 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 720 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u)) (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))))))))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u)) (*.f32 normAngle normAngle) (log.f32 u))
(/ n1_i normAngle)
(/.f32 n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (fma.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle)
(* n0_i (+ 1 (* -1 u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32)) n0_i)))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(/ 1 u)
(/.f32 #s(literal 1 binary32) u)
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(-.f32 (/.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) normAngle) normAngle))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(fma.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) u))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (* 1/120 (/ 1 u))) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u))
(fma.f32 (-.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (pow.f32 u #s(literal 4 binary32)) (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/5040 binary32) (/.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 normAngle u))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (log (/ (sin normAngle) (sin (* normAngle u)))))
(neg.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (sin normAngle) (sin (* normAngle u)))
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(* -1 (* normAngle (- u 1)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) normAngle) normAngle (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))))) u n0_i)
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)) (*.f32 normAngle normAngle)) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 normAngle) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (*.f32 normAngle normAngle))) u (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) u (sin.f32 normAngle))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(* n1_i u)
(*.f32 n1_i u)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle)
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle u))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) u) u (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle u))
(/ (* normAngle u) (sin normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) u (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 u #s(literal 3 binary32))) (sin.f32 normAngle)))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u (/.f32 u (sin.f32 normAngle))) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle))) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u))))
(fma.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) #s(literal -1 binary32) (log.f32 u))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* -1/6 (* (pow normAngle 2) (pow u 2))))
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) u) (-.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) (log.f32 u)))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* -1/24 (* (pow u 2) (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4))))))))
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 1/72 binary32))) (*.f32 u u))) (*.f32 u u)) (-.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) (log.f32 u)))
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* (pow u 2) (+ (* -1/24 (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))) (* -1/720 (* (pow u 2) (+ (* -720 (/ (* normAngle (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))))))) (sin normAngle))) (+ (* 10/9 (pow normAngle 6)) (* 120 (/ (* (pow normAngle 3) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 u u)) (fma.f32 (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))))) (/.f32 normAngle (sin.f32 normAngle))) #s(literal -720 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle)) #s(literal 120 binary32) (*.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal 10/9 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 1/72 binary32)))) (*.f32 u u))) (*.f32 u u) (fma.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) #s(literal -1 binary32) (log.f32 u)))
(/ (sin normAngle) (* normAngle u))
(/.f32 (/.f32 (sin.f32 normAngle) normAngle) u)
(/ (+ (* 1/6 (* normAngle (* (pow u 2) (sin normAngle)))) (/ (sin normAngle) normAngle)) u)
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) u) normAngle) #s(literal 1/6 binary32) (/.f32 (sin.f32 normAngle) normAngle)) u)
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u)
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) #s(literal 7/360 binary32)) (*.f32 u u) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) #s(literal 1/6 binary32))) (*.f32 u u) (/.f32 (sin.f32 normAngle) normAngle)) u)
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))))))) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u)
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)) normAngle (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 u) u) (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))))))) (*.f32 u u))) (*.f32 u u) (/.f32 (sin.f32 normAngle) normAngle)) u)
(* u (+ n1_i (* -1 n0_i)))
(*.f32 (-.f32 n1_i n0_i) u)
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(* -1 u)
(neg.f32 u)
(* u (- (/ 1 u) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(* -1 (* normAngle u))
(*.f32 (neg.f32 u) normAngle)
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(* -1 (* u (- 1 (/ 1 u))))
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (neg.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))

rewrite183.0ms (1.7%)

Memory
12.3MiB live, 234.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057325
097283
1285280
21880279
08232278
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 030
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i u)
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle))) (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)))) (-.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (-.f32 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle))) (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 (-.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
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(*.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) n0_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sin.f32 normAngle))
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (sin.f32 normAngle) n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
(*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(*.f32 (sin.f32 normAngle) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)))
(*.f32 (sin.f32 normAngle) (exp.f32 (neg.f32 (log.f32 (sin.f32 (*.f32 normAngle u))))))
(*.f32 (sin.f32 normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)))))
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(-.f32 (/.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
(-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal -1 binary32)))
(exp.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))

eval161.0ms (1.5%)

Memory
-2.8MiB live, 245.3MiB allocated
Compiler

Compiled 49 876 to 3 794 computations (92.4% saved)

prune66.0ms (0.6%)

Memory
-25.8MiB live, 96.3MiB allocated
Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New95829987
Fresh11516
Picked415
Done000
Total973351 008
Accuracy
100.0%
Counts
1 008 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
99.0%
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
99.1%
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
97.9%
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
99.1%
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
98.8%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
97.6%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i))
98.8%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
98.1%
(+.f32 (*.f32 #s(approx (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
96.6%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
99.2%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
82.0%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
83.1%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
40.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))
43.8%
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (neg.f32 (*.f32 u u)) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i #s(approx (* n1_i u) (*.f32 n1_i u))))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u)))
52.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
55.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
55.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
33.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 (sin.f32 normAngle) n1_i))))
74.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
54.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i))))
60.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))))
74.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))))
97.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
74.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
41.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
Compiler

Compiled 2 620 to 1 666 computations (36.4% saved)

simplify154.0ms (1.5%)

Memory
29.5MiB live, 134.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 n0_i (sin.f32 normAngle))
cost-diff0
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
cost-diff0
(-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
cost-diff160
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
cost-diff7392
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff0
(*.f32 n1_i u)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
cost-diff224
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
cost-diff0
(-.f32 n1_i n0_i)
cost-diff0
(*.f32 (-.f32 n1_i n0_i) u)
cost-diff0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
cost-diff0
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
cost-diff64
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051532
077500
1131466
2249451
3627444
41823443
53710443
08205433
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 (-.f32 n1_i n0_i) u)
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i u)
n1_i
u
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))
(*.f32 n1_i u)
n1_i
u
#s(literal 2 binary32)
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
u
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
n1_i
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
Outputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 (-.f32 n1_i n0_i) u)
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(*.f32 n1_i u)
n1_i
u
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))
(*.f32 n1_i u)
n1_i
u
#s(literal 2 binary32)
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (+.f32 n1_i n0_i) u (neg.f32 n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
u
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
n1_i
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))

localize173.0ms (1.6%)

Memory
7.3MiB live, 164.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy0.23828125
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
accuracy0.2734375
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
accuracy21.269967064910592
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
accuracy0.19273378907376804
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))
accuracy0.1953125
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
accuracy7.786837942800608
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
accuracy0
(*.f32 n1_i u)
accuracy0.09765625
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy0.12109375
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
accuracy0
(-.f32 n1_i n0_i)
accuracy0.1015625
(*.f32 (-.f32 n1_i n0_i) u)
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
accuracy19.123193532118282
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
accuracy0.03515625
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
accuracy0.1171875
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
accuracy0.12890625
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
accuracy0.19563046272868168
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
Samples
91.0ms250×0valid
3.0ms1valid
Compiler

Compiled 945 to 94 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-sub: 24.0ms (33.5% of total)
ival-mult: 19.0ms (26.6% of total)
ival-div: 10.0ms (14% of total)
ival-sin: 8.0ms (11.2% of total)
ival-pow2: 5.0ms (7% of total)
ival-add: 4.0ms (5.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (0.7%)

Memory
16.9MiB live, 133.5MiB allocated
Counts
24 → 163
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 (-.f32 n1_i n0_i) u)
(-.f32 n1_i n0_i)
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))))) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i (pow u 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u))) (/ (* (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))))) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u)))))))))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(/ n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(* normAngle (- 1 u))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ 1 (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))
(/ n0_i (sin normAngle))
(/ (* normAngle u) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(+ 1 (* -1 u))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* u (- n1_i n0_i))
(* n1_i u)
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* u (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))))
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i))))))
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (+ (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (/ (* u (* (- n1_i (* -1 n0_i)) (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i))))))
(* -1 n0_i)
(- (* u (- n1_i (* -1 n0_i))) n0_i)
(* -1 (pow n0_i 2))
(- (* 2 (* (pow n0_i 2) u)) (pow n0_i 2))
(- (* u (- (* u (- (pow n1_i 2) (pow n0_i 2))) (* -2 (pow n0_i 2)))) (pow n0_i 2))
(/ 1 n0_i)
(+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(+ (* u (- (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i)))) n0_i)) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* (pow n0_i 2) (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(pow n0_i 2)
(+ (* -2 (* (pow n0_i 2) u)) (pow n0_i 2))
(+ (* u (+ (* -2 (pow n0_i 2)) (* (pow n0_i 2) u))) (pow n0_i 2))
(* (pow n1_i 2) (pow u 2))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- n1_i (* -1 n0_i)))
(* u (- (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))))
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (+ (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (- n1_i (* -1 n0_i)))))) (* (pow u 3) (- n1_i (* -1 n0_i)))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))))
(* u (- n1_i (* -1 n0_i)))
(* u (- (+ n1_i (* -1 (/ n0_i u))) (* -1 n0_i)))
(* (pow u 2) (- (pow n1_i 2) (pow n0_i 2)))
(* (pow u 2) (- (+ (* 2 (/ (pow n0_i 2) u)) (pow n1_i 2)) (pow n0_i 2)))
(* (pow u 2) (- (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (pow n1_i 2)) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2))))
(* (pow n0_i 2) (pow u 2))
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2)))
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (+ (/ (pow n0_i 2) (pow u 2)) (pow n0_i 2))))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- (* -1 n1_i) n0_i)))
(* -1 (* u (- (+ (* -1 (/ (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (+ (* -1 (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i))))) (* u (- (* -1 n1_i) n0_i)))) (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(* -1 (* u (- (* -1 n1_i) n0_i)))
(* -1 (* u (- (+ (* -1 n1_i) (/ n0_i u)) n0_i)))
(* (pow u 2) (- (+ (* -1 (/ (- (/ (pow n0_i 2) u) (* 2 (pow n0_i 2))) u)) (pow n1_i 2)) (pow n0_i 2)))
(/ 1 (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow n0_i 2) u)) (* 2 (pow n0_i 2))) u)) (pow n0_i 2)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* -1 (* n0_i u)) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(+ (* n0_i (- (+ 1 (* n0_i (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u))
(+ (* n0_i (- (+ 1 (* n0_i (- (+ (* -1 (/ (* n0_i (* (- u 1) (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) (* n1_i u))) (* -1 (/ (pow (- 1 u) 2) (* n1_i u)))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u))
(+ (* n0_i (- u 1)) (* n1_i u))
(+ (* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) (* (pow n1_i 2) (pow u 2)))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(+ (* n0_i (- (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(+ (* n0_i (- (* n0_i (- (* -1 (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 4) (pow (sin (* normAngle u)) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2)) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3)))))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(* (pow n0_i 2) (pow (- 1 u) 2))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i)))
(* n0_i (- (/ n1_i n0_i) 1))
(* -1 (/ (* n0_i (pow (- 1 u) 2)) (- u 1)))
(* n0_i (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))))
(* n0_i (- (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1)))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3))))))
(* n0_i (- (+ (* -1 (/ (* n1_i (* u (- (/ (* (pow n1_i 2) (pow u 2)) (- u 1)) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (pow (- u 1) 3))))) (* (pow n0_i 3) (- u 1)))) (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1))))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3))))))
(* n0_i (- u 1))
(* n0_i (- (+ u (/ (* n1_i u) n0_i)) 1))
(* -1 (* (pow n0_i 2) (pow (- 1 u) 2)))
(* (pow n0_i 2) (- (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)) (pow (- 1 u) 2)))
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))
(/ (+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) n0_i)
(/ (- (+ (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i)
(/ (- (+ (* -1 (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 4)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (+ (* -1 (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2))))) n0_i)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (- 1 u)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (* -1 (- 1 u)))))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* n0_i (pow (sin (* normAngle (- 1 u))) 3))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* n0_i (pow (sin (* normAngle (- 1 u))) 4))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (pow (sin (* normAngle (- 1 u))) 3))) n0_i)) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i))
(- n1_i n0_i)
(- (* n1_i u) (* n0_i (- 1 u)))
(- (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (pow (- 1 u) 2)))
(+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))))
(+ (* n1_i (- (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))))
(+ (* n1_i (- (* n1_i (- (* -1 (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 4) (pow (sin (* normAngle (- 1 u))) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle u)) 2)) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3)))))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (* -1 (/ (* n0_i (- 1 u)) n1_i))))
(* (pow n1_i 2) (+ (* -1 (/ (* (pow n0_i 2) (pow (- 1 u) 2)) (pow n1_i 2))) (pow u 2)))
(/ (+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (sin (* normAngle u)))) n1_i)
(/ (- (+ (/ (sin normAngle) (sin (* normAngle u))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i)
(/ (- (+ (* -1 (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 4)))) (/ (sin normAngle) (sin (* normAngle u)))) (+ (* -1 (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2))))) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i (- 1 u)) n1_i))))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* n1_i (pow (sin (* normAngle u)) 3))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* n1_i (pow (sin (* normAngle u)) 4))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (pow (sin (* normAngle u)) 3))) n1_i)) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i))
Calls

12 calls:

TimeVariablePointExpression
8.0ms
normAngle
@inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u)))
7.0ms
n0_i
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u)))
7.0ms
u
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u)))
6.0ms
normAngle
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u)))
6.0ms
u
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u)))

simplify195.0ms (1.9%)

Memory
-11.0MiB live, 311.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09246161
130685693
080905428
Stop Event
iter limit
node limit
Counts
163 → 159
Calls
Call 1
Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))))) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i (pow u 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u))) (/ (* (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))))) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u)))))))))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(/ n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(* normAngle (- 1 u))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ 1 (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))
(/ n0_i (sin normAngle))
(/ (* normAngle u) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(+ 1 (* -1 u))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* u (- n1_i n0_i))
(* n1_i u)
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* u (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))))
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i))))))
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (+ (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (/ (* u (* (- n1_i (* -1 n0_i)) (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i))))))
(* -1 n0_i)
(- (* u (- n1_i (* -1 n0_i))) n0_i)
(* -1 (pow n0_i 2))
(- (* 2 (* (pow n0_i 2) u)) (pow n0_i 2))
(- (* u (- (* u (- (pow n1_i 2) (pow n0_i 2))) (* -2 (pow n0_i 2)))) (pow n0_i 2))
(/ 1 n0_i)
(+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(+ (* u (- (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i)))) n0_i)) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* (pow n0_i 2) (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(pow n0_i 2)
(+ (* -2 (* (pow n0_i 2) u)) (pow n0_i 2))
(+ (* u (+ (* -2 (pow n0_i 2)) (* (pow n0_i 2) u))) (pow n0_i 2))
(* (pow n1_i 2) (pow u 2))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- n1_i (* -1 n0_i)))
(* u (- (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))))
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (+ (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (- n1_i (* -1 n0_i)))))) (* (pow u 3) (- n1_i (* -1 n0_i)))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))))
(* u (- n1_i (* -1 n0_i)))
(* u (- (+ n1_i (* -1 (/ n0_i u))) (* -1 n0_i)))
(* (pow u 2) (- (pow n1_i 2) (pow n0_i 2)))
(* (pow u 2) (- (+ (* 2 (/ (pow n0_i 2) u)) (pow n1_i 2)) (pow n0_i 2)))
(* (pow u 2) (- (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (pow n1_i 2)) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2))))
(* (pow n0_i 2) (pow u 2))
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2)))
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (+ (/ (pow n0_i 2) (pow u 2)) (pow n0_i 2))))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- (* -1 n1_i) n0_i)))
(* -1 (* u (- (+ (* -1 (/ (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (+ (* -1 (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i))))) (* u (- (* -1 n1_i) n0_i)))) (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(* -1 (* u (- (* -1 n1_i) n0_i)))
(* -1 (* u (- (+ (* -1 n1_i) (/ n0_i u)) n0_i)))
(* (pow u 2) (- (+ (* -1 (/ (- (/ (pow n0_i 2) u) (* 2 (pow n0_i 2))) u)) (pow n1_i 2)) (pow n0_i 2)))
(/ 1 (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow n0_i 2) u)) (* 2 (pow n0_i 2))) u)) (pow n0_i 2)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* -1 (* n0_i u)) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(+ (* n0_i (- (+ 1 (* n0_i (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u))
(+ (* n0_i (- (+ 1 (* n0_i (- (+ (* -1 (/ (* n0_i (* (- u 1) (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) (* n1_i u))) (* -1 (/ (pow (- 1 u) 2) (* n1_i u)))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u))
(+ (* n0_i (- u 1)) (* n1_i u))
(+ (* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) (* (pow n1_i 2) (pow u 2)))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(+ (* n0_i (- (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(+ (* n0_i (- (* n0_i (- (* -1 (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 4) (pow (sin (* normAngle u)) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2)) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3)))))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(* (pow n0_i 2) (pow (- 1 u) 2))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i)))
(* n0_i (- (/ n1_i n0_i) 1))
(* -1 (/ (* n0_i (pow (- 1 u) 2)) (- u 1)))
(* n0_i (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))))
(* n0_i (- (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1)))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3))))))
(* n0_i (- (+ (* -1 (/ (* n1_i (* u (- (/ (* (pow n1_i 2) (pow u 2)) (- u 1)) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (pow (- u 1) 3))))) (* (pow n0_i 3) (- u 1)))) (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1))))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3))))))
(* n0_i (- u 1))
(* n0_i (- (+ u (/ (* n1_i u) n0_i)) 1))
(* -1 (* (pow n0_i 2) (pow (- 1 u) 2)))
(* (pow n0_i 2) (- (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)) (pow (- 1 u) 2)))
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))
(/ (+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) n0_i)
(/ (- (+ (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i)
(/ (- (+ (* -1 (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 4)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (+ (* -1 (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2))))) n0_i)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (- 1 u)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (* -1 (- 1 u)))))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* n0_i (pow (sin (* normAngle (- 1 u))) 3))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* n0_i (pow (sin (* normAngle (- 1 u))) 4))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (pow (sin (* normAngle (- 1 u))) 3))) n0_i)) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i))
(- n1_i n0_i)
(- (* n1_i u) (* n0_i (- 1 u)))
(- (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (pow (- 1 u) 2)))
(+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))))
(+ (* n1_i (- (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))))
(+ (* n1_i (- (* n1_i (- (* -1 (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 4) (pow (sin (* normAngle (- 1 u))) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle u)) 2)) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3)))))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (* -1 (/ (* n0_i (- 1 u)) n1_i))))
(* (pow n1_i 2) (+ (* -1 (/ (* (pow n0_i 2) (pow (- 1 u) 2)) (pow n1_i 2))) (pow u 2)))
(/ (+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (sin (* normAngle u)))) n1_i)
(/ (- (+ (/ (sin normAngle) (sin (* normAngle u))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i)
(/ (- (+ (* -1 (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 4)))) (/ (sin normAngle) (sin (* normAngle u)))) (+ (* -1 (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2))))) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i (- 1 u)) n1_i))))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* n1_i (pow (sin (* normAngle u)) 3))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* n1_i (pow (sin (* normAngle u)) 4))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (pow (sin (* normAngle u)) 3))) n1_i)) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
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(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
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(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
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(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
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(/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))
(/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
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(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))))) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i (pow u 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u))) (/ (* (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))))) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u)))))))))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (/ (* (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (/.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
(/ n0_i normAngle)
(/.f32 n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/6 binary32) n0_i) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/.f32 (fma.f32 (fma.f32 (*.f32 n0_i #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n0_i)) (*.f32 normAngle normAngle) n0_i) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 (*.f32 n0_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n0_i)) (*.f32 normAngle normAngle) n0_i) normAngle)
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/6 binary32) u)
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(fma.f32 (fma.f32 (*.f32 u #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u)
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 u #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u)
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ 1 (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))
(/.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (sin.f32 normAngle))) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(-.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i) (sin.f32 normAngle)))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) u #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) u #s(literal 1 binary32))
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(* u (- n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) u)
(* n1_i u)
(*.f32 n1_i u)
(+ n0_i (* -1 (* n0_i u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ n0_i (* u (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))))
(fma.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) u n0_i)
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) n0_i) #s(literal -1 binary32) (*.f32 (+.f32 n1_i n0_i) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) n0_i))) u (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i))) u n0_i)
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (+ (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (/ (* u (* (- n1_i (* -1 n0_i)) (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i))))))
(fma.f32 (fma.f32 (fma.f32 u (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) n0_i) #s(literal -1 binary32) (*.f32 (+.f32 n1_i n0_i) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) n0_i))) (+.f32 n1_i n0_i)) n0_i) (fma.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) n0_i) #s(literal -1 binary32) (*.f32 (+.f32 n1_i n0_i) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) n0_i)))) u (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i))) u n0_i)
(* -1 n0_i)
(neg.f32 n0_i)
(- (* u (- n1_i (* -1 n0_i))) n0_i)
(-.f32 (*.f32 (+.f32 n1_i n0_i) u) n0_i)
(* -1 (pow n0_i 2))
(*.f32 (neg.f32 n0_i) n0_i)
(- (* 2 (* (pow n0_i 2) u)) (pow n0_i 2))
(-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))
(- (* u (- (* u (- (pow n1_i 2) (pow n0_i 2))) (* -2 (pow n0_i 2)))) (pow n0_i 2))
(fma.f32 (fma.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u (*.f32 (*.f32 n0_i n0_i) #s(literal 2 binary32))) u (*.f32 (neg.f32 n0_i) n0_i))
(/ 1 n0_i)
(/.f32 #s(literal 1 binary32) n0_i)
(+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(fma.f32 (neg.f32 u) (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) (/.f32 #s(literal 1 binary32) n0_i))
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) (/.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) n0_i) (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))))) u (/.f32 #s(literal 1 binary32) n0_i))
(+ (* u (- (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i)))) n0_i)) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* (pow n0_i 2) (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i))
(fma.f32 (fma.f32 (neg.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (sin.f32 normAngle)) (fma.f32 (/.f32 #s(literal 1/6 binary32) n0_i) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle))))))) (/.f32 (*.f32 (fma.f32 (neg.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) (/.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) n0_i) (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) n0_i)) u (fma.f32 (neg.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) (/.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) n0_i) (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))))) u (neg.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))))) u (/.f32 #s(literal 1 binary32) n0_i))
(pow n0_i 2)
(*.f32 n0_i n0_i)
(+ (* -2 (* (pow n0_i 2) u)) (pow n0_i 2))
(fma.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal -2 binary32)) u (*.f32 n0_i n0_i))
(+ (* u (+ (* -2 (pow n0_i 2)) (* (pow n0_i 2) u))) (pow n0_i 2))
(fma.f32 (*.f32 (*.f32 n0_i n0_i) (+.f32 #s(literal -2 binary32) u)) u (*.f32 n0_i n0_i))
(* (pow n1_i 2) (pow u 2))
(*.f32 (*.f32 u u) (*.f32 n1_i n1_i))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* -1 u)
(neg.f32 u)
(* u (- (/ 1 u) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(* u (+ n1_i (* -1 n0_i)))
(*.f32 (-.f32 n1_i n0_i) u)
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(* -1 (* n0_i u))
(*.f32 (neg.f32 n0_i) u)
(* u (+ (* -1 n0_i) (/ n0_i u)))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- n1_i (* -1 n0_i)))
(*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))
(* u (- (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))
(*.f32 (-.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) u) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i))) (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))) (/.f32 n0_i u)))) u)
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))))
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) u) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i))) (*.f32 (/.f32 n0_i (+.f32 n1_i n0_i)) (/.f32 n0_i (*.f32 u u)))) (-.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))) (/.f32 n0_i u))) (*.f32 n0_i (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal 2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))))) (*.f32 (*.f32 u u) (+.f32 n1_i n0_i)))))) u)
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (+ (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (- n1_i (* -1 n0_i)))))) (* (pow u 3) (- n1_i (* -1 n0_i)))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))))
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal -1 binary32) (*.f32 n0_i (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal 2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))))) (+.f32 n1_i n0_i)))) (pow.f32 u #s(literal 3 binary32))) (/.f32 n0_i (+.f32 n1_i n0_i)) (fma.f32 (/.f32 #s(literal 2 binary32) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) u) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)))) (*.f32 (/.f32 n0_i (+.f32 n1_i n0_i)) (/.f32 n0_i (*.f32 u u)))) (-.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))) (/.f32 n0_i u))) (*.f32 n0_i (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal 2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))))) (*.f32 (*.f32 u u) (+.f32 n1_i n0_i)))))) u)
(* u (- n1_i (* -1 n0_i)))
(*.f32 (+.f32 n1_i n0_i) u)
(* u (- (+ n1_i (* -1 (/ n0_i u))) (* -1 n0_i)))
(*.f32 (+.f32 (-.f32 n1_i (/.f32 n0_i u)) n0_i) u)
(* (pow u 2) (- (pow n1_i 2) (pow n0_i 2)))
(*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))
(* (pow u 2) (- (+ (* 2 (/ (pow n0_i 2) u)) (pow n1_i 2)) (pow n0_i 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal 2 binary32) (*.f32 n1_i n1_i)) (*.f32 n0_i n0_i)) (*.f32 u u))
(* (pow u 2) (- (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (pow n1_i 2)) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2))))
(*.f32 (-.f32 (-.f32 (*.f32 n1_i n1_i) (*.f32 (/.f32 n0_i u) (/.f32 n0_i u))) (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal -2 binary32) (*.f32 n0_i n0_i))) (*.f32 u u))
(* (pow n0_i 2) (pow u 2))
(*.f32 (*.f32 u u) (*.f32 n0_i n0_i))
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal -2 binary32) (*.f32 n0_i n0_i)) (*.f32 u u))
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (+ (/ (pow n0_i 2) (pow u 2)) (pow n0_i 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal -2 binary32) (fma.f32 (/.f32 n0_i u) (/.f32 n0_i u) (*.f32 n0_i n0_i))) (*.f32 u u))
(* -1 (* normAngle u))
(*.f32 (neg.f32 u) normAngle)
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(* -1 (* u (- 1 (/ 1 u))))
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(*.f32 (neg.f32 u) (-.f32 n0_i (/.f32 n0_i u)))
(* -1 (/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- (* -1 n1_i) n0_i)))
(*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))
(* -1 (* u (- (+ (* -1 (/ (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) (neg.f32 u)) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))))
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) n0_i) (+.f32 n1_i n0_i))) u) #s(literal -1 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32)))))) (neg.f32 u)) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))))
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (+ (* -1 (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i))))) (* u (- (* -1 n1_i) n0_i)))) (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))))
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) n0_i) (+.f32 n1_i n0_i))) n0_i) (*.f32 (+.f32 n1_i n0_i) u)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i))) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) n0_i) (+.f32 n1_i n0_i))) u) #s(literal -1 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32)))))) (neg.f32 u)) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))))
(* -1 (* u (- (* -1 n1_i) n0_i)))
(*.f32 (+.f32 n1_i n0_i) u)
(* -1 (* u (- (+ (* -1 n1_i) (/ n0_i u)) n0_i)))
(*.f32 (neg.f32 u) (-.f32 (-.f32 (/.f32 n0_i u) n1_i) n0_i))
(* (pow u 2) (- (+ (* -1 (/ (- (/ (pow n0_i 2) u) (* 2 (pow n0_i 2))) u)) (pow n1_i 2)) (pow n0_i 2)))
(*.f32 (-.f32 (fma.f32 n1_i n1_i (/.f32 (-.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 2 binary32)) (/.f32 (*.f32 n0_i n0_i) u)) u)) (*.f32 n0_i n0_i)) (*.f32 u u))
(/ 1 (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))
(/.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow n0_i 2) u)) (* 2 (pow n0_i 2))) u)) (pow n0_i 2)))
(*.f32 (-.f32 (*.f32 n0_i n0_i) (/.f32 (-.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 2 binary32)) (/.f32 (*.f32 n0_i n0_i) u)) u)) (*.f32 u u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(+ (* -1 (* n0_i u)) (* n1_i u))
(*.f32 (-.f32 n1_i n0_i) u)
n1_i
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ (* n0_i (- (+ 1 (* n0_i (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u))
(fma.f32 (fma.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n1_i) (neg.f32 u)) (*.f32 (/.f32 (-.f32 u #s(literal 1 binary32)) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) u))) n0_i (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u))
(+ (* n0_i (- (+ 1 (* n0_i (- (+ (* -1 (/ (* n0_i (* (- u 1) (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) (* n1_i u))) (* -1 (/ (pow (- 1 u) 2) (* n1_i u)))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u))
(fma.f32 (-.f32 (fma.f32 (-.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (-.f32 u #s(literal 1 binary32)) n0_i) n1_i) (/.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n1_i) (neg.f32 u)) (*.f32 (/.f32 (-.f32 u #s(literal 1 binary32)) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) u))) u) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n1_i) u))) (*.f32 (/.f32 (-.f32 u #s(literal 1 binary32)) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) u))) n0_i #s(literal 1 binary32)) u) n0_i (*.f32 n1_i u))
(+ (* n0_i (- u 1)) (* n1_i u))
(fma.f32 (-.f32 u #s(literal 1 binary32)) n0_i (*.f32 n1_i u))
(+ (* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) (* (pow n1_i 2) (pow u 2)))
(fma.f32 (*.f32 (neg.f32 n0_i) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (*.f32 u u) (*.f32 n1_i n1_i)))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u)))
(+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(-.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u))) (/.f32 (/.f32 (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i n1_i)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))))
(+ (* n0_i (- (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(fma.f32 (fma.f32 (/.f32 (*.f32 n0_i (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (*.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i n1_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))))) n0_i (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u))))
(+ (* n0_i (- (* n0_i (- (* -1 (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 4) (pow (sin (* normAngle u)) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2)) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3)))))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u)))))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 n0_i (pow.f32 n1_i #s(literal 4 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 4 binary32))) (*.f32 (/.f32 (sin.f32 normAngle) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) n0_i (*.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i n1_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))))) n0_i (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u))))
(* (pow n0_i 2) (pow (- 1 u) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i)
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i)))
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)
(* -1 (/ (* n0_i (pow (- 1 u) 2)) (- u 1)))
(*.f32 (neg.f32 n0_i) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32))))
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(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i))
(/.f32 (fma.f32 (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* n1_i (pow (sin (* normAngle u)) 3))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) n1_i)) (/.f32 (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))) (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i))
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* n1_i (pow (sin (* normAngle u)) 4))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (pow (sin (* normAngle u)) 3))) n1_i)) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 4 binary32)) n1_i)) (/.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)))) (neg.f32 n1_i)) (/.f32 (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))) (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i))

rewrite281.0ms (2.7%)

Memory
-18.3MiB live, 420.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051401
077343
1291343
21896343
08280333
Stop Event
iter limit
node limit
iter limit
Counts
24 → 930
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 (-.f32 n1_i n0_i) u)
(-.f32 n1_i n0_i)
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
(*.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (*.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)))) (*.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32))) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)))))
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(*.f32 (*.f32 n0_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (neg.f32 n0_i) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i)
(*.f32 #s(literal 1 binary32) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n0_i #s(literal -1 binary32))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n0_i #s(literal 1 binary32))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 n0_i))) (neg.f32 (neg.f32 (neg.f32 (sin.f32 normAngle)))))
(/.f32 (*.f32 n0_i #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal 1 binary32) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 n0_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 normAngle) n0_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n0_i))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i (neg.f32 (sin.f32 normAngle))))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) n0_i) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(neg.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 (neg.f32 normAngle) #s(literal -1 binary32)) (/.f32 u (sin.f32 normAngle)))
(*.f32 (/.f32 u #s(literal -1 binary32)) (/.f32 (neg.f32 normAngle) (sin.f32 normAngle)))
(*.f32 (/.f32 u (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 (/.f32 u (sin.f32 normAngle)) (/.f32 normAngle #s(literal 1 binary32)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u #s(literal 1 binary32)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(*.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 u (/.f32 #s(literal 1 binary32) normAngle)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 normAngle (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) u))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 (neg.f32 normAngle) u)) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (*.f32 u (neg.f32 normAngle))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (*.f32 normAngle u))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 (neg.f32 normAngle) u) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 u (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 u) (neg.f32 (/.f32 (sin.f32 normAngle) normAngle)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)) #s(literal -1 binary32))
(*.f32 (pow.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n0_i) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (pow.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) n0_i)
(*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n0_i) (-.f32 #s(literal 1 binary32) u))
(*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))
(*.f32 (*.f32 n0_i n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))
(*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32) (*.f32 (log.f32 n0_i) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 n0_i) #s(literal 2 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (*.f32 n1_i u) n1_i) #s(literal 1 binary32)) u)
(*.f32 (pow.f32 (*.f32 (*.f32 n1_i u) u) #s(literal 1 binary32)) n1_i)
(*.f32 (*.f32 (*.f32 n1_i u) n1_i) u)
(*.f32 (*.f32 (*.f32 n1_i u) u) n1_i)
(*.f32 (*.f32 u u) (*.f32 n1_i n1_i))
(*.f32 (*.f32 n1_i n1_i) (*.f32 u u))
(*.f32 (*.f32 n1_i u) (*.f32 n1_i u))
(*.f32 n1_i (pow.f32 (*.f32 u (*.f32 n1_i u)) #s(literal 1 binary32)))
(*.f32 n1_i (*.f32 u (*.f32 n1_i u)))
(*.f32 u (pow.f32 (*.f32 n1_i (*.f32 n1_i u)) #s(literal 1 binary32)))
(*.f32 u (*.f32 n1_i (*.f32 n1_i u)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (*.f32 n1_i u)))
(pow.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))
(exp.f32 (fma.f32 (log.f32 u) #s(literal 2 binary32) (*.f32 (log.f32 n1_i) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 n1_i) #s(literal 2 binary32) (*.f32 (log.f32 u) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) normAngle) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 u) normAngle) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 #s(literal 1 binary32) normAngle) (-.f32 (*.f32 (*.f32 (neg.f32 u) normAngle) (*.f32 (neg.f32 u) normAngle)) (*.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle)))))
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle))
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle))
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))

eval124.0ms (1.2%)

Memory
39.0MiB live, 231.1MiB allocated
Compiler

Compiled 65 692 to 4 570 computations (93% saved)

prune53.0ms (0.5%)

Memory
-19.4MiB live, 140.0MiB allocated
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New1 043221 065
Fresh171229
Picked235
Done011
Total1 062381 100
Accuracy
100.0%
Counts
1 100 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
55.4%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
99.1%
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
98.1%
(+.f32 (*.f32 #s(approx (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
96.6%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
99.2%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
99.2%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
83.1%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
40.3%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))
43.8%
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
43.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u)))
55.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
55.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
55.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
54.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i))))
47.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 (neg.f32 n0_i) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
36.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
47.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
97.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32)))))
97.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u)))))
81.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)))))
25.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
97.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (neg.f32 u)))))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
97.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) n0_i) (/.f32 n1_i (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))) n0_i)))
37.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))))
8.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u))))
40.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u)))
Compiler

Compiled 2 946 to 1 825 computations (38.1% saved)

simplify233.0ms (2.2%)

Memory
6.8MiB live, 122.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
cost-diff64
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))
cost-diff96
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))
cost-diff160
(*.f32 (neg.f32 u) #s(literal 1 binary32))
cost-diff0
(*.f32 n1_i u)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
cost-diff64
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))
cost-diff352
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
cost-diff160
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
cost-diff0
(-.f32 n1_i n0_i)
cost-diff0
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
cost-diff0
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
cost-diff64
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052457
082437
1143398
2251394
3592386
41476380
52657380
64362380
76039380
86991380
97343380
107400380
117490380
127926380
08031371
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
normAngle
(/.f32 u (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))
(*.f32 n1_i u)
n1_i
u
#s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(-.f32 (/.f32 n0_i u) n0_i)
(/.f32 n0_i u)
n0_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))
(*.f32 n1_i u)
n1_i
u
(*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))
n0_i
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))
#s(literal -1 binary32)
(pow.f32 u #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1 binary32)
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
(*.f32 (neg.f32 u) #s(literal 1 binary32))
(neg.f32 u)
Outputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)
normAngle
(/.f32 u (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u #s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))
(fma.f32 n1_i u #s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 n1_i u)
n1_i
u
#s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))
#s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(-.f32 (/.f32 n0_i u) n0_i)
(/.f32 n0_i u)
n0_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 n1_i u)))
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))
(fma.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 n1_i u))
(*.f32 n1_i u)
n1_i
u
(*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))
(*.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))
n0_i
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 u u u)))
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))
#s(literal -1 binary32)
(pow.f32 u #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1 binary32)
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
(fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
(-.f32 u #s(literal -1 binary32))
(*.f32 (neg.f32 u) #s(literal 1 binary32))
(neg.f32 u)
(neg.f32 u)

localize163.0ms (1.5%)

Memory
6.4MiB live, 177.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.35384750976844204
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
accuracy4.690496247602338
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))
accuracy29.510977481528446
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
accuracy0.09765625
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))
accuracy0.21779252930532603
(-.f32 (/.f32 n0_i u) n0_i)
accuracy0.21875
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
accuracy0
(-.f32 #s(literal 1 binary32) u)
accuracy0.12109375
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
accuracy15.434069979573604
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy0
(-.f32 n1_i n0_i)
accuracy0.6384257185736955
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
accuracy18.91874810779459
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
accuracy0.1171875
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
accuracy0.12890625
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
accuracy0.140625
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
accuracy0.19563046272868168
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
Samples
126.0ms247×0valid
5.0ms1valid
Compiler

Compiled 820 to 98 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 22.0ms (34.7% of total)
ival-add: 19.0ms (30% of total)
ival-div: 7.0ms (11% of total)
ival-sin: 6.0ms (9.5% of total)
ival-sub: 5.0ms (7.9% of total)
ival-pow: 2.0ms (3.2% of total)
adjust: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series87.0ms (0.8%)

Memory
3.8MiB live, 77.1MiB allocated
Counts
23 → 108
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
(*.f32 n1_i u)
(*.f32 (neg.f32 u) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(-.f32 (/.f32 n0_i u) n0_i)
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(+ 1 (* -1 u))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* -1 (* n0_i u)))
(* n1_i u)
(* -1 u)
(+ 1 (* -1 (pow u 3)))
(+ n0_i (* u (- (+ n1_i (* -1 (* u (+ n0_i (* -1 n0_i))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* u (- (* u (+ n0_i (* -1 n0_i))) (+ n0_i (* -1 n0_i))))) n0_i)))
(+ 1 u)
(/ n0_i u)
(/ (+ n0_i (* -1 (* n0_i u))) u)
(+ 1 (* u (+ 1 u)))
(* u (- (/ 1 u) 1))
(* u (- n1_i n0_i))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (pow u 3))
(* (pow u 3) (- (/ 1 (pow u 3)) 1))
(* u (- (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ n0_i (* -1 n0_i)) (pow u 2))))) (* -1 (/ n0_i u))))
(* u (- (+ n1_i (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 3))) (/ n0_i (pow u 3))))) (+ (* -1 (/ n0_i u)) (+ (* -1 (/ n0_i (pow u 2))) (/ n0_i (pow u 2))))))
(* u (+ 1 (/ 1 u)))
(* -1 n0_i)
(- (/ n0_i u) n0_i)
(pow u 2)
(* (pow u 2) (+ 1 (/ 1 u)))
(* (pow u 2) (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* (pow u 3) (- 1 (/ 1 (pow u 3)))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (+ (* -1 (/ n0_i u)) (/ n0_i u)) (* -1 n0_i)) u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- n0_i (+ (* -1 n0_i) (* 2 n0_i))) u)) (+ n0_i (* -1 n0_i))) u)) (* -1 n0_i)) u))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(* n0_i (* u (- (/ 1 u) 1)))
(+ (* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u))))) (* n1_i u))
(* n0_i (- (/ 1 u) 1))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u)))))
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (+ (/ 1 (- (+ 1 (pow u 2)) (* -1 u))) (/ (* n1_i u) n0_i))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (+ 1 (* -1 (pow u 3))) (- (+ 1 (pow u 2)) (* -1 u)))))))
(* -1 (* n0_i (- 1 (/ 1 u))))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(- n1_i n0_i)
(+ (* n1_i u) (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u))))))))
Calls

12 calls:

TimeVariablePointExpression
37.0ms
n0_i
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))
16.0ms
normAngle
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))
5.0ms
u
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))
4.0ms
n0_i
@inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))
4.0ms
u
@inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))

simplify204.0ms (1.9%)

Memory
5.3MiB live, 238.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04781968
115811795
254321738
084971609
Stop Event
iter limit
node limit
Counts
108 → 105
Calls
Call 1
Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(+ 1 (* -1 u))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* -1 (* n0_i u)))
(* n1_i u)
(* -1 u)
(+ 1 (* -1 (pow u 3)))
(+ n0_i (* u (- (+ n1_i (* -1 (* u (+ n0_i (* -1 n0_i))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* u (- (* u (+ n0_i (* -1 n0_i))) (+ n0_i (* -1 n0_i))))) n0_i)))
(+ 1 u)
(/ n0_i u)
(/ (+ n0_i (* -1 (* n0_i u))) u)
(+ 1 (* u (+ 1 u)))
(* u (- (/ 1 u) 1))
(* u (- n1_i n0_i))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (pow u 3))
(* (pow u 3) (- (/ 1 (pow u 3)) 1))
(* u (- (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ n0_i (* -1 n0_i)) (pow u 2))))) (* -1 (/ n0_i u))))
(* u (- (+ n1_i (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 3))) (/ n0_i (pow u 3))))) (+ (* -1 (/ n0_i u)) (+ (* -1 (/ n0_i (pow u 2))) (/ n0_i (pow u 2))))))
(* u (+ 1 (/ 1 u)))
(* -1 n0_i)
(- (/ n0_i u) n0_i)
(pow u 2)
(* (pow u 2) (+ 1 (/ 1 u)))
(* (pow u 2) (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* (pow u 3) (- 1 (/ 1 (pow u 3)))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (+ (* -1 (/ n0_i u)) (/ n0_i u)) (* -1 n0_i)) u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- n0_i (+ (* -1 n0_i) (* 2 n0_i))) u)) (+ n0_i (* -1 n0_i))) u)) (* -1 n0_i)) u))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(* n0_i (* u (- (/ 1 u) 1)))
(+ (* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u))))) (* n1_i u))
(* n0_i (- (/ 1 u) 1))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u)))))
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (+ (/ 1 (- (+ 1 (pow u 2)) (* -1 u))) (/ (* n1_i u) n0_i))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (+ 1 (* -1 (pow u 3))) (- (+ 1 (pow u 2)) (* -1 u)))))))
(* -1 (* n0_i (- 1 (/ 1 u))))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(- n1_i n0_i)
(+ (* n1_i u) (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u))))))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i (fma.f32 #s(literal -1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/120 binary32) (*.f32 n1_i u))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))))))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
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(- 1 u)
(-.f32 #s(literal 1 binary32) u)
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u
(+ u (* 1/6 (* (pow normAngle 2) u)))
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n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
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(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
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1
#s(literal 1 binary32)
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n1_i
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(fma.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i n0_i)
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(fma.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i n0_i)
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 n0_i (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (+ 1 (* -1 (pow u 3))) (- (+ 1 (pow u 2)) (* -1 u)))))))
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)))) n0_i)
(* -1 (* n0_i (- 1 (/ 1 u))))
(-.f32 (/.f32 n0_i u) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(+ (* n1_i u) (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))) n0_i (*.f32 n1_i u))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i)
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)) n1_i)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i)
(* n1_i (+ u (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u))))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))) u) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i)
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u))))))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))) u) n1_i)

rewrite457.0ms (4.4%)

Memory
-157.9MiB live, 312.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052351
082279
1317277
22295277
08620270
Stop Event
iter limit
node limit
iter limit
Counts
23 → 761
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
(*.f32 n1_i u)
(*.f32 (neg.f32 u) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(-.f32 (/.f32 n0_i u) n0_i)
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))))))
(*.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))))) (*.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)))) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32)))) (*.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)))) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))))))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) n1_i)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32))) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) n1_i))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)))) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) #s(literal 2 binary32))))))
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(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))
(*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))) (neg.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))) (neg.f32 (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32)))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 (-.f32 (*.f32 u u) #s(literal 1 binary32)) u)) (*.f32 u u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 (-.f32 (*.f32 u u) #s(literal 1 binary32)) u)) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (-.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 u #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 u u)) (pow.f32 u #s(literal 4 binary32)))) (*.f32 u u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 u u)) (pow.f32 u #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (-.f32 (*.f32 (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (-.f32 (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 u u))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u u (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))
(/.f32 (-.f32 (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (*.f32 (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (pow.f32 u #s(literal 3 binary32)))) (*.f32 (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (*.f32 (/.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32)))) (*.f32 (/.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (neg.f32 (-.f32 #s(literal 1 binary32) u)))
(/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u))
(/.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32)))))
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u)))))
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))
(-.f32 (/.f32 (pow.f32 u #s(literal 6 binary32)) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 (pow.f32 u #s(literal 6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u)))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u)))))
(-.f32 (/.f32 (/.f32 (pow.f32 u #s(literal 6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) (neg.f32 u))
(-.f32 #s(literal 1 binary32) u)
(fma.f32 (pow.f32 (neg.f32 u) #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 u) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (neg.f32 u) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32))
(fma.f32 (neg.f32 u) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 u) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 u #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u #s(literal 1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(+.f32 (neg.f32 u) #s(literal 1 binary32))
(+.f32 u #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u))
(+.f32 #s(literal 1 binary32) u)
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))

eval81.0ms (0.8%)

Memory
-9.5MiB live, 177.7MiB allocated
Compiler

Compiled 37 132 to 3 292 computations (91.1% saved)

prune56.0ms (0.5%)

Memory
7.0MiB live, 163.5MiB allocated
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New6808688
Fresh121729
Picked145
Done134
Total69432726
Accuracy
100.0%
Counts
726 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
55.4%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
99.1%
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
98.1%
(+.f32 (*.f32 #s(approx (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.2%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
99.1%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle))) n1_i))
99.2%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
83.1%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
83.0%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
40.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))
43.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
54.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i))))
36.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
97.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))
47.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
81.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)))))
89.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 (*.f32 u u) u #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
26.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
97.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (neg.f32 u)))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) u))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) u))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u) (neg.f32 n0_i)) u))))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
97.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) n0_i) (/.f32 n1_i (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))) n0_i)))
37.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))))
55.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
8.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u))))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
97.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
39.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u)))
Compiler

Compiled 4 719 to 1 239 computations (73.7% saved)

regimes146.0ms (1.4%)

Memory
4.3MiB live, 259.5MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i #s(approx (* n1_i u) (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (neg.f32 (*.f32 u u)) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 (*.f32 u u) u #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 (neg.f32 n0_i) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) n0_i) (/.f32 n1_i (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))) n0_i)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 (sin.f32 normAngle) n1_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (-.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))) (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 6 binary32))) (*.f32 (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) (+.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 4 binary32))) (pow.f32 (/.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))))))
Outputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
Calls

5 calls:

31.0ms
normAngle
30.0ms
n0_i
29.0ms
u
29.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
23.0ms
n1_i
Results
AccuracySegmentsBranch
99.2%1normAngle
99.2%1u
99.2%1n0_i
99.2%1n1_i
99.2%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes60.0ms (0.6%)

Memory
5.0MiB live, 117.8MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i #s(approx (* n1_i u) (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (neg.f32 (*.f32 u u)) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 (*.f32 u u) u #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
Outputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
Calls

5 calls:

13.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
12.0ms
n0_i
12.0ms
u
10.0ms
n1_i
10.0ms
normAngle
Results
AccuracySegmentsBranch
99.2%1normAngle
99.2%1u
99.2%1n0_i
99.2%1n1_i
99.2%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes146.0ms (1.4%)

Memory
9.2MiB live, 55.4MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i #s(approx (* n1_i u) (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (neg.f32 (*.f32 u u)) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 (*.f32 u u) u #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))))))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))
Calls

5 calls:

103.0ms
n1_i
10.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
10.0ms
n0_i
10.0ms
u
10.0ms
normAngle
Results
AccuracySegmentsBranch
97.8%1normAngle
97.8%1u
97.8%1n0_i
97.8%1n1_i
97.8%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes23.0ms (0.2%)

Memory
-18.4MiB live, 20.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
Calls

5 calls:

13.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms
n1_i
2.0ms
normAngle
2.0ms
u
2.0ms
n0_i
Results
AccuracySegmentsBranch
55.6%1normAngle
55.6%1u
71.7%3n0_i
71.2%3n1_i
55.6%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes8.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
Calls

5 calls:

2.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
1.0ms
normAngle
1.0ms
n0_i
1.0ms
u
1.0ms
n1_i
Results
AccuracySegmentsBranch
39.1%1normAngle
39.1%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
39.1%1u
39.1%1n1_i
39.1%1n0_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.0356333904832594e-26
2.9266585509303987e-26
0.0ms
-2.0670207512450553e-21
-1.731143417283045e-21
Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify38.0ms (0.4%)

Memory
2.2MiB live, 39.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052273
169273
276273
380273
482273
Stop Event
saturated
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))
(if (<=.f32 n0_i #s(literal -309485/154742504910672534362390528 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (if (<=.f32 n0_i #s(literal 6490371/324518553658426726783156020576256 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
Outputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)) n1_i) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))
(if (<=.f32 n0_i #s(literal -309485/154742504910672534362390528 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (if (<=.f32 n0_i #s(literal 6490371/324518553658426726783156020576256 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))

soundness1.2s (11.1%)

Memory
2.2MiB live, 597.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09246161
130685693
080905428
051401
077343
1291343
21896343
08280333
052351
082279
1317277
22295277
08620270
04781968
115811795
254321738
084971609
03211541
19871444
233911384
081291298
07553835
126153557
083173295
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 553 to 277 computations (49.9% saved)

preprocess30.0ms (0.3%)

Memory
2.4MiB live, 40.7MiB allocated
Remove

(abs normAngle)

Compiler

Compiled 812 to 284 computations (65% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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