Curve intersection, scale width based on ribbon orientation

Time bar (total: 10.2s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze602.0ms (5.9%)

Memory
17.5MiB live, 822.3MiB 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)

sample3.7s (36.1%)

Memory
77.4MiB live, 5 345.1MiB allocated
Samples
2.1s8 256×0valid
708.0ms1 985×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult: 607.0ms (27.5% of total)
ival-sin: 543.0ms (24.6% of total)
ival-<=: 324.0ms (14.7% of total)
const: 211.0ms (9.6% of total)
ival-div: 168.0ms (7.6% of total)
ival-sub: 140.0ms (6.3% of total)
ival-add: 68.0ms (3.1% of total)
ival-and: 60.0ms (2.7% of total)
ival-pi: 56.0ms (2.5% of total)
exact: 23.0ms (1% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain198.0ms (1.9%)

Memory
26.5MiB live, 356.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-24(5.543661563746566e-36 1.0826965990418103e-7 0.00664675934240222 -8.154368192038826e-19)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
20-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (sin.f32 normAngle))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o20
*.f32(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o20
Confusion
Predicted +Predicted -
+29
-0245
Precision
1.0
Recall
0.18181818181818182
Confusion?
Predicted +Predicted MaybePredicted -
+218
-00245
Precision?
1.0
Recall?
0.2727272727272727
Freqs
test
numberfreq
0254
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms504×0valid
2.0ms1valid
Compiler

Compiled 231 to 55 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 24.0ms (53.4% of total)
ival-sin: 11.0ms (24.5% of total)
ival-div: 4.0ms (8.9% of total)
ival-sub: 3.0ms (6.7% of total)
ival-add: 2.0ms (4.5% 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)

preprocess190.0ms (1.9%)

Memory
-19.0MiB live, 225.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106368
1284302
2842268
32688256
44855252
57086252
01725
02925
14921
211018
331418
462718
598818
6169418
7347118
8689518
0838917
Stop Event
iter limit
node limit
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(+.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)

simplify120.0ms (1.2%)

Memory
7.6MiB live, 145.0MiB 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-diff2
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff2
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff4
(+.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
14989
211086
331486
462786
598886
6169486
7347186
8689586
0838985
Stop Event
iter limit
node limit
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

localize97.0ms (1%)

Memory
-6.9MiB live, 45.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.1484375
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.6546324990107384
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy1.5465468491695413
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
42.0ms252×0valid
1.0ms1valid
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (43.1% of total)
ival-sin: 6.0ms (32.3% of total)
ival-div: 2.0ms (10.8% of total)
ival-add: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% 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)

series74.0ms (0.7%)

Memory
12.5MiB live, 57.6MiB 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
44.0ms
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))
6.0ms
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))
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))
3.0ms
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))

simplify240.0ms (2.4%)

Memory
-9.2MiB live, 132.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03211535
110921412
244151356
082081277
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 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.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)))) (+ (* -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 (-.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 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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.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 (-.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 (-.f32 (*.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)))) (-.f32 (*.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 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 -1/5040 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 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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.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 (-.f32 (*.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 (-.f32 (*.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) (-.f32 (*.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 (-.f32 (*.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 (-.f32 (*.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) (-.f32 (*.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 (-.f32 (*.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 (-.f32 (*.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) (-.f32 (*.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)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) 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 n1_i normAngle) (*.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 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.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 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (sin.f32 normAngle)) u)) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.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))))
(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 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u)) (cos.f32 normAngle)) u (*.f32 (neg.f32 normAngle) (cos.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 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) 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 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.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))))
(*.f32 (fma.f32 (pow.f32 u #s(literal 4 binary32)) (/.f32 (fma.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle))) u)
(+ 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 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)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) 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 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (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 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (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 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (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 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)

rewrite280.0ms (2.7%)

Memory
-17.7MiB live, 172.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01763
02963
18053
245250
3475250
0822349
Stop Event
iter limit
node limit
iter limit
Counts
5 → 223
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 normAngle (-.f32 #s(literal 1 binary32) u)))) #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 normAngle (-.f32 #s(literal 1 binary32) u)))) #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 (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)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #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 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (/.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)))
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(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 normAngle (+.f32 u #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))
(/.f32 (*.f32 (neg.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 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))
(/.f32 (*.f32 normAngle (neg.f32 (-.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 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (fma.f32 #s(literal -1 binary32) 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 (*.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)))

eval62.0ms (0.6%)

Memory
8.9MiB live, 51.9MiB allocated
Compiler

Compiled 12 529 to 932 computations (92.6% saved)

prune32.0ms (0.3%)

Memory
-3.4MiB live, 42.2MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New24418262
Fresh000
Picked101
Done000
Total24518263
Accuracy
99.7%
Counts
263 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
39.3%
(/.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))
31.8%
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
41.8%
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)))))))
97.4%
(-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
77.1%
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
76.7%
(+.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.3%
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
96.6%
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 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))
96.5%
(+.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 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i))
98.2%
(+.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))
96.6%
(+.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))
28.5%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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 (-.f32 (*.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)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
96.7%
(+.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))
80.8%
(+.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))
42.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
42.0%
#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)))
41.7%
#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 1 426 to 770 computations (46% saved)

simplify242.0ms (2.4%)

Memory
7.2MiB live, 226.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
cost-diff2
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff2
(*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff4
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 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))
cost-diff0
(sin.f32 normAngle)
cost-diff0
(/.f32 n1_i (sin.f32 normAngle))
cost-diff0
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
cost-diff4
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.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-diff1
(+.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))
cost-diff2
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff0
(*.f32 n1_i u)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.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)) (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-diff1
(+.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-diff2
(*.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
057502
098506
1168456
2342453
3770453
41581453
52684453
64385453
77437453
08373443
Stop Event
iter limit
node limit
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
(+.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 #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 (*.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)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
u
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 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 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(*.f32 u u)
u
normAngle
(+.f32 u #s(literal 1 binary32))
(/.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 #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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
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))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_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 (*.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)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(/.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 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
normAngle
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
u
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 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 (fma.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) (-.f32 #s(literal -1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) (-.f32 #s(literal -1 binary32) u))))
(*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) (-.f32 #s(literal -1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))))
(sin.f32 (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) (-.f32 #s(literal -1 binary32) u)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) (-.f32 #s(literal -1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(*.f32 u u)
u
normAngle
(+.f32 u #s(literal 1 binary32))
(/.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

localize165.0ms (1.6%)

Memory
-25.5MiB live, 163.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.35384750976844204
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
accuracy0.6546324990107384
(*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy1.5465468491695413
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy0.125
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
accuracy0.1328125
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy0.34176505115753775
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
accuracy1.2962033502304684
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
accuracy0.125
(+.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))
accuracy0.1484375
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
accuracy0.23102705946563803
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
accuracy1.5465468491695413
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.0
(*.f32 n1_i u)
accuracy0.4659375585835193
#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)))
accuracy18.838317289906847
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy0.125
(+.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))
accuracy0.1328125
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.1484375
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.6546324990107384
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
93.0ms252×0valid
2.0ms1valid
Compiler

Compiled 463 to 42 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-div: 23.0ms (35% of total)
ival-mult: 23.0ms (35% of total)
ival-sin: 11.0ms (16.7% of total)
ival-add: 5.0ms (7.6% of total)
ival-sub: 3.0ms (4.6% 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)

series75.0ms (0.7%)

Memory
16.0MiB live, 114.5MiB allocated
Counts
23 → 110
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))
#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)
(*.f32 n1_i u)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.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 #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 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 n1_i (sin.f32 normAngle))
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 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 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
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))
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))))
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i 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)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3)))) (+ (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5)))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n1_i (pow u 7))) (* -1/5040 (/ (* n0_i (pow (- 1 (pow u 2)) 7)) (pow (+ 1 u) 7)))) (+ (* -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))))) (+ (* -1/6 (- (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (+ (* -1/5040 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* -1/6 (* n1_i u)))))))
(- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))
(- (+ (* (pow normAngle 2) (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (/ (pow (- 1 (pow u 2)) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (* 1/120 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (/ (pow (- 1 (pow u 2)) 5) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (/ (pow (- 1 (pow u 2)) 7) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* 1/120 (/ (pow (- 1 (pow u 2)) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (* 1/120 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (+ (* -1/5040 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* 1/120 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))))) (+ (* -1/6 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (* 1/120 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(/ (* normAngle (- 1 (pow u 2))) (+ 1 u))
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* (pow normAngle 2) (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (/ (* n0_i (pow (- 1 (pow u 2)) 7)) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (+ (* -1/5040 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* 1/120 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))))))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 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)) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ n1_i (sin normAngle))
(sin normAngle)
(+ (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u))) (sin normAngle))
(/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u)))) (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) (* -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))))
(+ 1 (* -1 u))
(/ (* 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))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(+ normAngle (* -1 (* 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))))
(+ (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (- 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (/ (* normAngle (- 1 (pow u 2))) (- 1 (* -1 u)))) (sin normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (- 1 (* -1 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 (pow u 2))) (+ 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)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (/ (* normAngle (- 1 (pow u 2))) (+ 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)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 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)))))))
(* -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 (pow u 2))) (+ 1 u)))) (* n1_i (sin normAngle)))))))
Calls

12 calls:

TimeVariablePointExpression
11.0ms
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)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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 (sin normAngle))) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (+ (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) (/ (* (- 1 (* u u)) normAngle) (+ u 1)) (* (- 1 u) normAngle) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* normAngle (- 1 u)) (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i))
11.0ms
n0_i
@-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)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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 (sin normAngle))) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (+ (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) (/ (* (- 1 (* u u)) normAngle) (+ u 1)) (* (- 1 u) normAngle) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* normAngle (- 1 u)) (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i))
8.0ms
u
@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)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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 (sin normAngle))) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (+ (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) (/ (* (- 1 (* u u)) normAngle) (+ u 1)) (* (- 1 u) normAngle) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* normAngle (- 1 u)) (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i))
8.0ms
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)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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 (sin normAngle))) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (+ (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) (/ (* (- 1 (* u u)) normAngle) (+ u 1)) (* (- 1 u) normAngle) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* normAngle (- 1 u)) (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i))
5.0ms
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)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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 (sin normAngle))) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (+ (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) (/ (* (- 1 (* u u)) normAngle) (+ u 1)) (* (- 1 u) normAngle) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* normAngle (- 1 u)) (* (* (sin (/ (* (- 1 (* u u)) normAngle) (+ u 1))) (/ 1 (sin normAngle))) n0_i))

simplify177.0ms (1.7%)

Memory
3.0MiB live, 235.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06363993
121653542
084203354
Stop Event
iter limit
node limit
Counts
110 → 107
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))
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))))
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i 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)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3)))) (+ (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5)))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n1_i (pow u 7))) (* -1/5040 (/ (* n0_i (pow (- 1 (pow u 2)) 7)) (pow (+ 1 u) 7)))) (+ (* -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))))) (+ (* -1/6 (- (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (+ (* -1/5040 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* -1/6 (* n1_i u)))))))
(- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))
(- (+ (* (pow normAngle 2) (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (/ (pow (- 1 (pow u 2)) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (* 1/120 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (/ (pow (- 1 (pow u 2)) 5) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (/ (pow (- 1 (pow u 2)) 7) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* 1/120 (/ (pow (- 1 (pow u 2)) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (* 1/120 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (+ (* -1/5040 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* 1/120 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))))) (+ (* -1/6 (- (* -1/6 (/ (pow (- 1 (pow u 2)) 3) (pow (+ 1 u) 3))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (* 1/120 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (* -1/6 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))) (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(/ (* normAngle (- 1 (pow u 2))) (+ 1 u))
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* (pow normAngle 2) (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (/ (* n0_i (pow (- 1 (pow u 2)) 7)) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* 1/120 (/ (* n0_i (pow (- 1 (pow u 2)) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))) (+ (* -1/5040 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))) (* 1/120 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))))))))))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- 1 (pow u 2)) 3)) (pow (+ 1 u) 3))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))) (* 1/120 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))))))) (* -1/6 (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 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)) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ n1_i (sin normAngle))
(sin normAngle)
(+ (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u))) (sin normAngle))
(/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u)))) (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) (* -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))))
(+ 1 (* -1 u))
(/ (* 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))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(+ normAngle (* -1 (* 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))))
(+ (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (- 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (/ (* normAngle (- 1 (pow u 2))) (- 1 (* -1 u)))) (sin normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (- 1 (* -1 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 (pow u 2))) (+ 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)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (/ (* normAngle (- 1 (pow u 2))) (+ 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)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 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)))))))
(* -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 (pow u 2))) (+ 1 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)
(-.f32 (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)) #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)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.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)
(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)) (*.f32 #s(literal 1/120 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) (*.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)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.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) (-.f32 #s(literal 1 binary32) u))
(+ (* 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 #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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.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)))) (+ (* -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 (-.f32 (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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.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 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.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 (-.f32 (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 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 binary32)))) (-.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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (*.f32 #s(literal 1/120 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 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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.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 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i 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 (*.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 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 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 (-.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 (*.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 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 binary32)))) #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 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.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 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 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 (-.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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) 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 (- (+ 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)
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 (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 (*.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)
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (fma.f32 (-.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)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.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)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n1_i u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (-.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))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i 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 (*.f32 (neg.f32 normAngle) normAngle) n1_i) #s(literal -7/360 binary32) (*.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)
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normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
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(- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))
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(/ (* normAngle (- 1 (pow u 2))) (+ 1 u))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal 1 binary32) u))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(sin (* normAngle (- 1 u)))
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(/ (sin (* normAngle u)) (sin normAngle))
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(/ n1_i (sin normAngle))
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(sin normAngle)
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(/ (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u))) (sin normAngle))
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(/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u)))) (sin normAngle))
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1
#s(literal 1 binary32)
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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 (* 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))))))
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(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
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(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle))
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(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ 1 (* -1 u))
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(/ (* normAngle u) (sin normAngle))
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(* 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))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
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(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
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(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (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 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (/ (* normAngle (- 1 (pow u 2))) (+ 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i))

rewrite292.0ms (2.9%)

Memory
-29.0MiB live, 312.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057315
098289
1280252
21893252
08313247
Stop Event
iter limit
node limit
iter limit
Counts
23 → 670
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))
#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)
(*.f32 n1_i u)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.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 #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 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 n1_i (sin.f32 normAngle))
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 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 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
Outputs
(*.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 (neg.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32)))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.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)) (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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))) (-.f32 (*.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)) (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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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)) (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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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)) (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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) (*.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (neg.f32 (neg.f32 #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 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)))) (neg.f32 (-.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)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 2 binary32)) (*.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 (-.f32 (*.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 (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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (-.f32 (*.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 (/.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)))) (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 (-.f32 (*.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 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))))))
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(/.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))))) (*.f32 (+.f32 u #s(literal 1 binary32)) (neg.f32 (fma.f32 u u #s(literal 1 binary32)))))
(/.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))))) (*.f32 (+.f32 u #s(literal 1 binary32)) (neg.f32 (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))) (neg.f32 normAngle)) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) u)))) (+.f32 (neg.f32 u) #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))) normAngle) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) u)))) (+.f32 u #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) (neg.f32 normAngle)) (*.f32 (neg.f32 (fma.f32 u u #s(literal 1 binary32))) (+.f32 (neg.f32 u) #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) normAngle) (*.f32 (neg.f32 (fma.f32 u u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32)))) (neg.f32 normAngle)) (*.f32 (neg.f32 (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32))) (+.f32 (neg.f32 u) #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32)))) normAngle) (*.f32 (neg.f32 (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) (neg.f32 normAngle)) (*.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 (neg.f32 u) #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))) (neg.f32 normAngle)) (*.f32 (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32)) (+.f32 (neg.f32 u) #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) (/.f32 normAngle (+.f32 u #s(literal 1 binary32)))) (fma.f32 u u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))) (/.f32 normAngle (+.f32 u #s(literal 1 binary32)))) (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (fma.f32 u u #s(literal 1 binary32))))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) normAngle) (*.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 6 binary32))) normAngle) (*.f32 (+.f32 (fma.f32 u u (pow.f32 u #s(literal 4 binary32))) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 (neg.f32 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) normAngle) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 (neg.f32 u) u) normAngle) (+.f32 u #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 normAngle #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 normAngle (*.f32 (neg.f32 u) u)) (+.f32 u #s(literal 1 binary32))))
(neg.f32 (/.f32 (*.f32 (neg.f32 normAngle) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))))
(neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 (neg.f32 u) #s(literal -1 binary32))))
(*.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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.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)) 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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) (sin.f32 (neg.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))

eval138.0ms (1.3%)

Memory
24.7MiB live, 161.5MiB allocated
Compiler

Compiled 34 428 to 2 662 computations (92.3% saved)

prune58.0ms (0.6%)

Memory
3.2MiB live, 56.9MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New64918667
Fresh11213
Picked505
Done000
Total66520685
Accuracy
99.9%
Counts
685 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.3%
(/.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))
31.8%
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
7.5%
(/.f32 (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (pow.f32 (sin.f32 normAngle) #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))))
69.3%
(/.f32 (+.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))) (sin.f32 (neg.f32 normAngle)))
97.2%
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
96.2%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.9%
(+.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))
82.7%
(+.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))
98.2%
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
42.0%
#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)))
42.0%
#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)))
53.9%
#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))))
42.0%
#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)))
73.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (/.f32 (*.f32 (*.f32 (neg.f32 n1_i) u) (*.f32 n1_i u)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
98.1%
#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 (-.f32 #s(literal 1 binary32) u))))
41.7%
#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))))
43.4%
#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 (-.f32 n1_i n0_i) u n0_i)))
40.3%
#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 n1_i n0_i) u)))
97.7%
#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)))
97.8%
#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 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
Compiler

Compiled 1 470 to 912 computations (38% saved)

simplify324.0ms (3.2%)

Memory
4.8MiB live, 224.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
cost-diff0
(*.f32 n1_i u)
cost-diff0
#s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u))
cost-diff1
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
cost-diff0
(neg.f32 u)
cost-diff0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 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 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
cost-diff1
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 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-diff1
(fma.f32 u n1_i (*.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-diff1
(+.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
054414
079410
1141386
2245377
3504377
4945377
51550374
62561374
74685368
87997368
08765363
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)) (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)) #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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(neg.f32 u)
u
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(-.f32 n0_i n1_i)
n0_i
n1_i
(/.f32 n0_i u)
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
#s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u))
(*.f32 n1_i u)
n1_i
u
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) 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)
#s(literal 1 binary32)
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)) (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)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) 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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)))
#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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)
(neg.f32 u)
u
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 n0_i n1_i)
n0_i
n1_i
(/.f32 n0_i u)
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)))
#s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u))
(*.f32 n1_i u)
n1_i
u
(*.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 n0_i (sin.f32 normAngle)))
(/.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)
#s(literal 1 binary32)

localize234.0ms (2.3%)

Memory
-14.9MiB live, 180.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
accuracy0.1328125
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy0.34176505115753775
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
accuracy0.579783544817942
#s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u))
accuracy0.0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
accuracy0.19921875
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
accuracy0.20703125
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
accuracy0.4659375585835193
#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)))))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.14453125
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy0.4659375585835193
#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))))
accuracy15.137196807158661
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy0.0
(-.f32 n1_i n0_i)
accuracy0.0859375
(*.f32 (-.f32 n1_i n0_i) u)
accuracy0.4659375585835193
#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)))
accuracy18.905731172461675
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
accuracy0.11099833541872331
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
accuracy0.125
(+.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))
accuracy0.1484375
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
accuracy0.23102705946563803
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
Samples
102.0ms252×0valid
2.0ms1valid
Compiler

Compiled 313 to 43 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 32.0ms (37.1% of total)
ival-mult: 23.0ms (26.6% of total)
ival-sin: 20.0ms (23.2% of total)
ival-sub: 5.0ms (5.8% of total)
ival-add: 4.0ms (4.6% of total)
ival-neg: 1.0ms (1.2% 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)

series105.0ms (1%)

Memory
13.8MiB live, 60.3MiB allocated
Counts
22 → 115
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)
(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 (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)) #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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
(neg.f32 u)
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
#s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(*.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)
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i 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 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))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (sin (* 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))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* u (- n0_i n1_i))))
(* -1 u)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i 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))))
(* -1 (/ n0_i u))
(/ (- (* u (- n0_i n1_i)) n0_i) u)
normAngle
(+ normAngle (* -1 (* normAngle 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)))
(* -1 (* u (- n0_i n1_i)))
(* u (+ (* -1 (- n0_i n1_i)) (/ n0_i u)))
(- n0_i n1_i)
(- (+ n0_i (* -1 (/ n0_i u))) n1_i)
(* -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 (- (+ n0_i (* -1 (/ n0_i u))) n1_i)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(+ (* -1 (* n0_i u)) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(+ (* -1 (* n0_i (* u (- 1 (/ 1 u))))) (* n1_i u))
(* -1 n1_i)
(- (* n0_i (- 1 (/ 1 u))) n1_i)
(* 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)))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* n0_i (+ (* -1 (* u (- 1 (/ 1 u)))) (/ (* n1_i u) n0_i)))
(* n0_i (- 1 (/ 1 u)))
(* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))
(* -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)))))
(* n0_i (* u (- (/ 1 u) 1)))
(* -1 (* n0_i (+ (* -1 (* u (- (/ 1 u) 1))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (- (/ 1 u) 1)))
(* -1 (* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)))
(- n1_i n0_i)
(* -1 (* u (- n0_i (/ n0_i u))))
(+ (* -1 (* u (- n0_i (/ n0_i u)))) (* n1_i u))
(- n0_i (/ n0_i u))
(- (+ n0_i (* -1 n1_i)) (/ n0_i 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 (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* n1_i (- (/ n0_i n1_i) (+ 1 (/ n0_i (* n1_i 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 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) (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* -1 (* n1_i (+ 1 (* -1 (/ (- n0_i (/ n0_i u)) n1_i)))))
Calls

12 calls:

TimeVariablePointExpression
72.0ms
n1_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) (+ (* 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i 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)) (neg u) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* n1_i u) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (* normAngle (- 1 u)))
3.0ms
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) (+ (* 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i 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)) (neg u) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* n1_i u) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (* normAngle (- 1 u)))
3.0ms
n1_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)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i 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)) (neg u) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* n1_i u) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (* normAngle (- 1 u)))
3.0ms
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)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i 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)) (neg u) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* n1_i u) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (* normAngle (- 1 u)))
3.0ms
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) (+ (* 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i 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)) (neg u) (+ (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u))))) (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (* n1_i u) (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (* normAngle (- 1 u)))

simplify185.0ms (1.8%)

Memory
0.4MiB live, 181.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04932332
117112139
265672122
080792009
Stop Event
iter limit
node limit
Counts
115 → 111
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)
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i 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 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))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (sin (* 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))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* u (- n0_i n1_i))))
(* -1 u)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i 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))))
(* -1 (/ n0_i u))
(/ (- (* u (- n0_i n1_i)) n0_i) u)
normAngle
(+ normAngle (* -1 (* normAngle 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)))
(* -1 (* u (- n0_i n1_i)))
(* u (+ (* -1 (- n0_i n1_i)) (/ n0_i u)))
(- n0_i n1_i)
(- (+ n0_i (* -1 (/ n0_i u))) n1_i)
(* -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 (- (+ n0_i (* -1 (/ n0_i u))) n1_i)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(+ (* -1 (* n0_i u)) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(+ (* -1 (* n0_i (* u (- 1 (/ 1 u))))) (* n1_i u))
(* -1 n1_i)
(- (* n0_i (- 1 (/ 1 u))) n1_i)
(* 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)))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* n0_i (+ (* -1 (* u (- 1 (/ 1 u)))) (/ (* n1_i u) n0_i)))
(* n0_i (- 1 (/ 1 u)))
(* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))
(* -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)))))
(* n0_i (* u (- (/ 1 u) 1)))
(* -1 (* n0_i (+ (* -1 (* u (- (/ 1 u) 1))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (- (/ 1 u) 1)))
(* -1 (* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)))
(- n1_i n0_i)
(* -1 (* u (- n0_i (/ n0_i u))))
(+ (* -1 (* u (- n0_i (/ n0_i u)))) (* n1_i u))
(- n0_i (/ n0_i u))
(- (+ n0_i (* -1 n1_i)) (/ n0_i 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 (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* n1_i (- (/ n0_i n1_i) (+ 1 (/ n0_i (* n1_i 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 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) (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* -1 (* n1_i (+ 1 (* -1 (/ (- n0_i (/ n0_i u)) n1_i)))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 #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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 (-.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) (*.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) (*.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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 (-.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) (*.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 (-.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 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (-.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 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 (*.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)))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.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))) (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* 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 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) 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))) (* (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 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.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)))
(+ (* 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 #s(literal 1/120 binary32) (*.f32 n0_i (-.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 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.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 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.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)
(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 (*.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)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.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 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)) (*.f32 #s(literal 1/120 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) (*.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)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.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 normAngle normAngle) #s(literal 1 binary32)) u)
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (fma.f32 (-.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 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.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 #s(literal 1/120 binary32) (*.f32 n1_i u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (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)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i 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 (*.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 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.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))))
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(* normAngle (- 1 u))
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(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
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(/ (sin (* normAngle u)) (sin normAngle))
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n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.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 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.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 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) (sin.f32 normAngle)) u)) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.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))))
(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 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (*.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 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (*.f32 (cos.f32 normAngle) u)) u (*.f32 (neg.f32 normAngle) (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle))) u n0_i)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
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(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
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(* -1 u)
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(/ (* n1_i (* normAngle u)) (sin normAngle))
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(/ (* normAngle u) (sin normAngle))
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(* 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))))
(*.f32 (+.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 4 binary32)) (/.f32 (fma.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 u u)) (pow.f32 normAngle #s(literal 7 binary32)))) (sin.f32 normAngle)))) u)
(* -1 (/ n0_i u))
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(/ (- (* u (- n0_i n1_i)) n0_i) u)
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)
normAngle
(+ normAngle (* -1 (* normAngle u)))
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(* u (- (/ 1 u) 1))
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(* -1 (* u (- n0_i n1_i)))
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(* u (+ (* -1 (- n0_i n1_i)) (/ n0_i u)))
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(- n0_i n1_i)
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(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(* -1 (* normAngle u))
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(* u (+ (* -1 normAngle) (/ normAngle u)))
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(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
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(* -1 (* u (- 1 (/ 1 u))))
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(* -1 (* u (+ n0_i (* -1 n1_i))))
(*.f32 (-.f32 n1_i n0_i) u)
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(* -1 (* u (- (+ n0_i (* -1 (/ n0_i u))) n1_i)))
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(+ (* -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)
(+ (* -1 (* n0_i (* u (- 1 (/ 1 u))))) (* n1_i u))
(-.f32 (*.f32 n1_i u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) n0_i))
(* -1 n1_i)
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(- (* n0_i (- 1 (/ 1 u))) n1_i)
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) n0_i) n1_i)
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (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 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
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(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)
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(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u)) n0_i)
(* n0_i (- 1 (/ 1 u)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) n0_i)
(* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u)) n0_i)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i)
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i)
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(fma.f32 (/.f32 n1_i n0_i) n0_i (neg.f32 n0_i))
(* n0_i (* u (- (/ 1 u) 1)))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i) u)
(* -1 (* n0_i (+ (* -1 (* u (- (/ 1 u) 1))) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 n0_i (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u (/.f32 (*.f32 n1_i u) n0_i)))
(* -1 (* n0_i (- (/ 1 u) 1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)))
(*.f32 (-.f32 (+.f32 (/.f32 n1_i n0_i) (/.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (neg.f32 n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(* -1 (* u (- n0_i (/ n0_i u))))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
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(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
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(*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) n1_i)
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(*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 n0_i u) n1_i)) n1_i)
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(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) n1_i)
(* -1 (* n1_i (+ 1 (* -1 (/ (- n0_i (/ n0_i u)) n1_i)))))
(fma.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) n1_i (neg.f32 n1_i))

rewrite190.0ms (1.9%)

Memory
17.2MiB live, 354.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054340
079336
1267314
21685305
08231300
Stop Event
iter limit
node limit
iter limit
Counts
22 → 271
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)
(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 (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)) #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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
(neg.f32 u)
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
#s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
Outputs
(/.f32 (-.f32 (pow.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))))) #s(literal 3 binary32)) (pow.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)) (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))))) #s(literal 3 binary32))) (fma.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 (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))))) (fma.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)) (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 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 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 (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 (neg.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)) (fma.f32 (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) 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 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) n0_i) #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)) (fma.f32 (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 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)) (fma.f32 (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (*.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 (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)))) #s(literal 3 binary32)) (pow.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)) (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)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (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 (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 (*.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)) (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)) (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 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 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) 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 (+.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i) #s(literal 3 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 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) (*.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 (neg.f32 #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 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 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i) #s(literal 3 binary32)))) (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)) (+.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 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i))))))
(/.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)))))))
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(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) (neg.f32 u)) (*.f32 (+.f32 n1_i n0_i) (neg.f32 n0_i)))) (neg.f32 (*.f32 (+.f32 n1_i n0_i) (neg.f32 u))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) u) (*.f32 (+.f32 n1_i n0_i) n0_i))) (neg.f32 (*.f32 (+.f32 n1_i n0_i) u)))
(/.f32 (neg.f32 (-.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (neg.f32 u)) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 n0_i)))) (neg.f32 (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 u))))
(/.f32 (neg.f32 (-.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) u) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) n0_i))) (neg.f32 (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) u)))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u)))) (*.f32 (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) (*.f32 (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u)))))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 3 binary32)) (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)))) (*.f32 (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32))) (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32))) (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i))) (neg.f32 (neg.f32 u))) (*.f32 (neg.f32 (+.f32 n1_i n0_i)) (neg.f32 (neg.f32 n0_i)))) (*.f32 (neg.f32 (+.f32 n1_i n0_i)) (neg.f32 (neg.f32 u))))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i))) (neg.f32 u)) (*.f32 (neg.f32 (+.f32 n1_i n0_i)) (neg.f32 n0_i))) (*.f32 (neg.f32 (+.f32 n1_i n0_i)) (neg.f32 u)))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i))) u) (*.f32 (neg.f32 (+.f32 n1_i n0_i)) n0_i)) (*.f32 (neg.f32 (+.f32 n1_i n0_i)) u))
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32)))) (neg.f32 (neg.f32 u))) (*.f32 (neg.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (neg.f32 (neg.f32 n0_i)))) (*.f32 (neg.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (neg.f32 (neg.f32 u))))
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32)))) (neg.f32 u)) (*.f32 (neg.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (neg.f32 n0_i))) (*.f32 (neg.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (neg.f32 u)))
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32)))) u) (*.f32 (neg.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) n0_i)) (*.f32 (neg.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) u))
(/.f32 (-.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) (neg.f32 (neg.f32 u))) (*.f32 (+.f32 n1_i n0_i) (neg.f32 (neg.f32 n0_i)))) (*.f32 (+.f32 n1_i n0_i) (neg.f32 (neg.f32 u))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (neg.f32 (neg.f32 u))) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 (neg.f32 n0_i)))) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 (neg.f32 u))))
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (+.f32 (/.f32 n0_i u) n1_i) #s(literal 2 binary32))) (+.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i)))
(/.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 n0_i u) n1_i) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (+.f32 (pow.f32 (+.f32 (/.f32 n0_i u) n1_i) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) (neg.f32 u)) (*.f32 (+.f32 n1_i n0_i) (neg.f32 n0_i))) (*.f32 (+.f32 n1_i n0_i) (neg.f32 u)))
(/.f32 (-.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) u) (*.f32 (+.f32 n1_i n0_i) n0_i)) (*.f32 (+.f32 n1_i n0_i) u))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (neg.f32 u)) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 n0_i))) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 u)))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) u) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) n0_i)) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) u))
(/.f32 (-.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))))
(/.f32 (-.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32))) (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32))))
(-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i))) (/.f32 (pow.f32 (+.f32 (/.f32 n0_i u) n1_i) #s(literal 2 binary32)) (+.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i))))
(-.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i n0_i (+.f32 (pow.f32 (+.f32 (/.f32 n0_i u) n1_i) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i))))) (/.f32 (pow.f32 (+.f32 (/.f32 n0_i u) n1_i) #s(literal 3 binary32)) (fma.f32 n0_i n0_i (+.f32 (pow.f32 (+.f32 (/.f32 n0_i u) n1_i) #s(literal 2 binary32)) (*.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i))))))
(-.f32 (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) (neg.f32 u)) (*.f32 (+.f32 n1_i n0_i) (neg.f32 u))) (/.f32 (*.f32 (+.f32 n1_i n0_i) (neg.f32 n0_i)) (*.f32 (+.f32 n1_i n0_i) (neg.f32 u))))
(-.f32 (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) u) (*.f32 (+.f32 n1_i n0_i) u)) (/.f32 (*.f32 (+.f32 n1_i n0_i) n0_i) (*.f32 (+.f32 n1_i n0_i) u)))
(-.f32 (/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (neg.f32 u)) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 u))) (/.f32 (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 n0_i)) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) (neg.f32 u))))
(-.f32 (/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) u) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) u)) (/.f32 (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) n0_i) (*.f32 (fma.f32 n1_i (+.f32 n1_i n0_i) (*.f32 n0_i n0_i)) u)))
(-.f32 (/.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u)))) (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u)))))
(-.f32 (/.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 3 binary32)) (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (fma.f32 (/.f32 n0_i u) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u))) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)))))
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(-.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i))
(+.f32 (/.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u)))) (/.f32 (*.f32 (neg.f32 (/.f32 n0_i u)) (/.f32 n0_i u)) (-.f32 n0_i (-.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) 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)))

eval46.0ms (0.5%)

Memory
27.2MiB live, 110.1MiB allocated
Compiler

Compiled 26 652 to 1 901 computations (92.9% saved)

prune103.0ms (1%)

Memory
-19.4MiB live, 168.0MiB allocated
Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New37615391
Fresh41115
Picked145
Done000
Total38130411
Accuracy
99.9%
Counts
411 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
7.5%
(/.f32 (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (pow.f32 (sin.f32 normAngle) #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))))
69.3%
(/.f32 (+.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))) (sin.f32 (neg.f32 normAngle)))
97.2%
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
98.5%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
38.2%
(+.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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
98.9%
(+.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))
82.7%
(+.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))
98.2%
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
98.2%
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
42.0%
#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)))
53.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
8.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (*.f32 (neg.f32 n0_i) u))))
53.9%
#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))))
42.0%
#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)))
98.1%
#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 (-.f32 #s(literal 1 binary32) u))))
41.7%
#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))))
43.4%
#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 (-.f32 n1_i n0_i) u n0_i)))
36.1%
#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 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i))))
40.3%
#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 n1_i n0_i) u)))
97.7%
#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)))
97.8%
#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 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
98.1%
#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 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) 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 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)))))
42.0%
#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)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 n1_i)))))
8.4%
#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) (neg.f32 n0_i)) u)))
97.8%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (-.f32 (*.f32 n1_i u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) n0_i)))))
53.7%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
97.6%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) n1_i))))
53.6%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i) u))))
Compiler

Compiled 2 344 to 1 430 computations (39% saved)

simplify127.0ms (1.2%)

Memory
-3.6MiB live, 186.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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-diff1
(+.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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
cost-diff0
(*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))
cost-diff0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) 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 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))))
cost-diff2
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)
cost-diff0
(-.f32 n0_i (*.f32 n0_i u))
cost-diff0
#s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))
cost-diff0
(fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i 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 #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
cost-diff0
#s(approx (- n1_i n0_i) (neg.f32 n0_i))
cost-diff0
(*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)
cost-diff0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 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 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)))
cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))
cost-diff0
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i)
cost-diff1
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) 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
069623
0101623
1178587
2382578
3903568
41748560
52660560
64155560
08316551
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #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 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(*.f32 u u)
u
(+.f32 u #s(literal 1 binary32))
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 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))
(*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)
#s(approx (- n1_i n0_i) (neg.f32 n0_i))
(neg.f32 n0_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 #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
(fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u))))
u
n1_i
#s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))
(-.f32 n0_i (*.f32 n0_i u))
n0_i
(*.f32 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) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u))))
(*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))
(neg.f32 u)
u
#s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u))
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)
(-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i)
(*.f32 (-.f32 n0_i n1_i) u)
(-.f32 n0_i n1_i)
n0_i
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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) 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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle normAngle)
normAngle
#s(literal -1/6 binary32)
(-.f32 (pow.f32 u #s(literal 3 binary32)) u)
(pow.f32 u #s(literal 3 binary32))
#s(literal 3 binary32)
n1_i
Outputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i)
(*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))))
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(*.f32 u u)
u
(+.f32 u #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 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 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))
(*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)
#s(approx (- n1_i n0_i) (neg.f32 n0_i))
(neg.f32 n0_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 #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.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 n1_i u #s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u))))
(fma.f32 n1_i u #s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
u
n1_i
#s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))
#s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(*.f32 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) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) (neg.f32 u))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) (neg.f32 u)))
(*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))
(*.f32 #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) (neg.f32 u))
(neg.f32 u)
u
#s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u))
#s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i))
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i)
(*.f32 (-.f32 n0_i n1_i) u)
(-.f32 n0_i n1_i)
n0_i
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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
(fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u)) n1_i (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i)
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
(fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u)
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
(*.f32 normAngle normAngle)
normAngle
#s(literal -1/6 binary32)
(-.f32 (pow.f32 u #s(literal 3 binary32)) u)
(pow.f32 u #s(literal 3 binary32))
#s(literal 3 binary32)
n1_i

localize136.0ms (1.3%)

Memory
41.7MiB live, 233.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
accuracy0.22322688922537517
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u))
accuracy0.23102705946563803
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
accuracy1.8471199784316494
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
accuracy0.0859375
(*.f32 (-.f32 n0_i n1_i) u)
accuracy0.20703125
(*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))
accuracy0.21875
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)
accuracy0.4659375585835193
#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) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))))
accuracy0.0
#s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))
accuracy0.045253759768442016
(-.f32 n0_i (*.f32 n0_i u))
accuracy0.4659375585835193
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
accuracy15.194933685388198
(fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u))))
accuracy0.0859375
(*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)
accuracy0.4659375585835193
#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) (neg.f32 n0_i)) u)))
accuracy17.580269196224585
#s(approx (- n1_i n0_i) (neg.f32 n0_i))
accuracy18.905731172461675
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))
accuracy0.125
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
accuracy0.1484375
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i)
accuracy0.23102705946563803
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))))
accuracy0.40625
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))
Samples
94.0ms252×0valid
2.0ms1valid
Compiler

Compiled 392 to 52 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 30.0ms (39.6% of total)
ival-div: 9.0ms (11.9% of total)
ival-sub: 9.0ms (11.9% of total)
const: 9.0ms (11.9% of total)
ival-add: 6.0ms (7.9% of total)
ival-sin: 6.0ms (7.9% of total)
ival-pow: 3.0ms (4% of total)
ival-neg: 2.0ms (2.6% 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)

series48.0ms (0.5%)

Memory
-25.3MiB live, 69.5MiB allocated
Counts
24 → 122
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #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 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))
(*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)
#s(approx (- n1_i n0_i) (neg.f32 n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
(fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u))))
#s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))
(-.f32 n0_i (*.f32 n0_i u))
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u))))
(*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) 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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) 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)
(*.f32 (-.f32 n0_i n1_i) u)
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u))
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 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) (- (pow u 3) 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))))
(* -1/6 (pow normAngle 2))
(+ (/ (* 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))
(* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))
(* (pow normAngle 2) (+ (* -1/6 (- (pow u 3) u)) (/ u (pow normAngle 2))))
(/ (sin (* 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))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (/ n0_i u))
(/ (+ (* -1 n0_i) (* u (- n0_i n1_i))) u)
(+ n0_i (* -1 (* u (- n0_i n1_i))))
(* u (- n0_i n1_i))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(/ (* 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))))
(* -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 (- (/ n0_i u) n0_i))
(- n0_i n1_i)
(- (+ n0_i (* -1 (/ n0_i u))) n1_i)
(* -1 (* u (- n0_i n1_i)))
(* u (+ (* -1 (- n0_i n1_i)) (/ n0_i u)))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 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 (+ 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 (- (* -1 (/ n0_i u)) (* -1 n0_i))))
(* -1 (* u (- (+ n0_i (* -1 (/ n0_i u))) n1_i)))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i u)
(+ (* -1 (* n0_i u)) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(* -1 n1_i)
(+ (* -1 n1_i) (* n0_i (- 1 (/ 1 u))))
(+ (* -1 (* n0_i (* u (- 1 (/ 1 u))))) (* n1_i u))
(* -1 (* n1_i u))
(+ (* -1 (* n1_i u)) (* n0_i u))
(* 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)))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(/ (* n0_i (- u 1)) u)
(* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* n0_i (+ (* -1 (* u (- 1 (/ 1 u)))) (/ (* n1_i u) n0_i)))
(* n0_i u)
(* n0_i (+ u (* -1 (/ (* 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 (+ (* -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)))))
(* n0_i (+ 1 (* -1 u)))
(* -1 (/ (* n0_i (+ 1 (* -1 u))) u))
(* -1 (* n0_i (+ -1 (+ (/ 1 u) (/ n1_i n0_i)))))
(* n0_i (* u (- (/ 1 u) 1)))
(* -1 (* n0_i (+ (* -1 (* u (- (/ 1 u) 1))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))))
(- n1_i n0_i)
(/ (- (* n0_i u) n0_i) u)
(- (+ n0_i (* -1 n1_i)) (/ n0_i u))
(* -1 (* u (- n0_i (/ n0_i u))))
(+ (* -1 (* u (- n0_i (/ n0_i u)))) (* n1_i 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 (- (/ n0_i n1_i) (+ 1 (/ n0_i (* n1_i u)))))
(* n1_i (+ u (* -1 (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* n1_i (+ (* -1 u) (/ (* n0_i u) 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 (* -1 (/ (- n0_i (/ n0_i u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* -1 (* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
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 u)) (+ u 1)) (+ (* (* (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) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- n0_i (* n0_i u)) (/ (- (* (- n0_i n1_i) u) n0_i) 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (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) (* (- n0_i n1_i) u) (+ (* (* (* normAngle normAngle) -1/6) (- (pow u 3) u)) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* normAngle normAngle) -1/6))
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 u)) (+ u 1)) (+ (* (* (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) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- n0_i (* n0_i u)) (/ (- (* (- n0_i n1_i) u) n0_i) 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (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) (* (- n0_i n1_i) u) (+ (* (* (* normAngle normAngle) -1/6) (- (pow u 3) u)) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* normAngle normAngle) -1/6))
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 u)) (+ u 1)) (+ (* (* (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) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- n0_i (* n0_i u)) (/ (- (* (- n0_i n1_i) u) n0_i) 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (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) (* (- n0_i n1_i) u) (+ (* (* (* normAngle normAngle) -1/6) (- (pow u 3) u)) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* normAngle normAngle) -1/6))
3.0ms
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 u)) (+ u 1)) (+ (* (* (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) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- n0_i (* n0_i u)) (/ (- (* (- n0_i n1_i) u) n0_i) 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (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) (* (- n0_i n1_i) u) (+ (* (* (* normAngle normAngle) -1/6) (- (pow u 3) u)) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* normAngle normAngle) -1/6))
3.0ms
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 u)) (+ u 1)) (+ (* (* (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) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- n0_i (* n0_i u)) (/ (- (* (- n0_i n1_i) u) n0_i) 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)) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (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) (* (- n0_i n1_i) u) (+ (* (* (* normAngle normAngle) -1/6) (- (pow u 3) u)) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* normAngle normAngle) -1/6))

simplify339.0ms (3.3%)

Memory
31.8MiB live, 309.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04842202
116692012
264181997
082271894
Stop Event
iter limit
node limit
Counts
122 → 119
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) (- (pow u 3) 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))))
(* -1/6 (pow normAngle 2))
(+ (/ (* 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))
(* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))
(* (pow normAngle 2) (+ (* -1/6 (- (pow u 3) u)) (/ u (pow normAngle 2))))
(/ (sin (* 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))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (/ n0_i u))
(/ (+ (* -1 n0_i) (* u (- n0_i n1_i))) u)
(+ n0_i (* -1 (* u (- n0_i n1_i))))
(* u (- n0_i n1_i))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(/ (* 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))))
(* -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 (- (/ n0_i u) n0_i))
(- n0_i n1_i)
(- (+ n0_i (* -1 (/ n0_i u))) n1_i)
(* -1 (* u (- n0_i n1_i)))
(* u (+ (* -1 (- n0_i n1_i)) (/ n0_i u)))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 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 (+ 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 (- (* -1 (/ n0_i u)) (* -1 n0_i))))
(* -1 (* u (- (+ n0_i (* -1 (/ n0_i u))) n1_i)))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i u)
(+ (* -1 (* n0_i u)) (* n1_i u))
n1_i
(+ n1_i (* -1 n0_i))
(* -1 n1_i)
(+ (* -1 n1_i) (* n0_i (- 1 (/ 1 u))))
(+ (* -1 (* n0_i (* u (- 1 (/ 1 u))))) (* n1_i u))
(* -1 (* n1_i u))
(+ (* -1 (* n1_i u)) (* n0_i u))
(* 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)))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(/ (* n0_i (- u 1)) u)
(* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* n0_i (+ (* -1 (* u (- 1 (/ 1 u)))) (/ (* n1_i u) n0_i)))
(* n0_i u)
(* n0_i (+ u (* -1 (/ (* 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 (+ (* -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)))))
(* n0_i (+ 1 (* -1 u)))
(* -1 (/ (* n0_i (+ 1 (* -1 u))) u))
(* -1 (* n0_i (+ -1 (+ (/ 1 u) (/ n1_i n0_i)))))
(* n0_i (* u (- (/ 1 u) 1)))
(* -1 (* n0_i (+ (* -1 (* u (- (/ 1 u) 1))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))))
(- n1_i n0_i)
(/ (- (* n0_i u) n0_i) u)
(- (+ n0_i (* -1 n1_i)) (/ n0_i u))
(* -1 (* u (- n0_i (/ n0_i u))))
(+ (* -1 (* u (- n0_i (/ n0_i u)))) (* n1_i 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 (- (/ n0_i n1_i) (+ 1 (/ n0_i (* n1_i u)))))
(* n1_i (+ u (* -1 (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* n1_i (+ (* -1 u) (/ (* n0_i u) 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 (* -1 (/ (- n0_i (/ n0_i u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(* -1 (* n1_i (+ u (* -1 (/ (* n0_i u) 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 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))
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(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
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(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
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u
(+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))
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(* -1/6 (pow normAngle 2))
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(/ (sin (* normAngle u)) (sin normAngle))
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n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.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))))))
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(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
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1
#s(literal 1 binary32)
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(+ 1 (* -1 u))
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(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(* u (- n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) u)
(+ n0_i (* -1 (* n0_i u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(* -1 (/ n0_i u))
(/.f32 (neg.f32 n0_i) u)
(/ (+ (* -1 n0_i) (* u (- n0_i n1_i))) u)
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)
(+ n0_i (* -1 (* u (- n0_i n1_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(* u (- n0_i n1_i))
(*.f32 (-.f32 n0_i n1_i) u)
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) (*.f32 normAngle 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))))
(*.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) 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 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.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))))
(*.f32 (+.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 4 binary32)) (/.f32 (fma.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 u u)) (pow.f32 normAngle #s(literal 7 binary32)))) (sin.f32 normAngle)))) 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 n1_i (-.f32 n0_i (/.f32 n0_i u))) 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 (- (/ n0_i u) n0_i))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(- n0_i n1_i)
(-.f32 n0_i n1_i)
(- (+ n0_i (* -1 (/ n0_i u))) n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(* -1 (* u (- n0_i n1_i)))
(*.f32 (-.f32 n1_i n0_i) u)
(* u (+ (* -1 (- n0_i n1_i)) (/ n0_i u)))
(*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) u)
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(*.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) normAngle) normAngle) #s(literal -1/6 binary32))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(*.f32 (-.f32 n1_i n0_i) u)
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) u)
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(* -1 (* u (- (* -1 (/ n0_i u)) (* -1 n0_i))))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(* -1 (* u (- (+ n0_i (* -1 (/ n0_i u))) n1_i)))
(*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) u)
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(*.f32 (pow.f32 (neg.f32 u) #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (/.f32 normAngle u) normAngle) (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 (/.f32 #s(literal 1 binary32) u) u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(* n1_i u)
(*.f32 n1_i u)
(+ (* -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)
(* -1 n1_i)
(neg.f32 n1_i)
(+ (* -1 n1_i) (* n0_i (- 1 (/ 1 u))))
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) n0_i) n1_i)
(+ (* -1 (* n0_i (* u (- 1 (/ 1 u))))) (* n1_i u))
(-.f32 (*.f32 n1_i u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) n0_i) u))
(* -1 (* n1_i u))
(*.f32 (neg.f32 n1_i) u)
(+ (* -1 (* n1_i u)) (* n0_i u))
(*.f32 (-.f32 n0_i n1_i) u)
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (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 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #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)
(* -1 n0_i)
(neg.f32 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)
(/ (* n0_i (- u 1)) u)
(/.f32 (*.f32 (-.f32 u #s(literal 1 binary32)) n0_i) u)
(* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u)) n0_i)
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)) n0_i)
(* n0_i (+ (* -1 (* u (- 1 (/ 1 u)))) (/ (* n1_i u) n0_i)))
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u)) n0_i)
(* n0_i u)
(*.f32 n0_i u)
(* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 n1_i u) n0_i)) n0_i)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i)
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i)
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(fma.f32 (/.f32 n1_i n0_i) n0_i (neg.f32 n0_i))
(* n0_i (+ 1 (* -1 u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(* -1 (/ (* n0_i (+ 1 (* -1 u))) u))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i u))
(* -1 (* n0_i (+ -1 (+ (/ 1 u) (/ n1_i n0_i)))))
(fma.f32 (neg.f32 n0_i) (+.f32 (/.f32 n1_i n0_i) (/.f32 #s(literal 1 binary32) u)) n0_i)
(* n0_i (* u (- (/ 1 u) 1)))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)
(* -1 (* n0_i (+ (* -1 (* u (- (/ 1 u) 1))) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 n0_i (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u (/.f32 (*.f32 n1_i u) n0_i)))
(* -1 (* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 n1_i u) n0_i)) n0_i)
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(/ (- (* n0_i u) n0_i) u)
(/.f32 (-.f32 (*.f32 n0_i u) n0_i) u)
(- (+ n0_i (* -1 n1_i)) (/ n0_i u))
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(* -1 (* u (- n0_i (/ n0_i u))))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(+ (* -1 (* u (- n0_i (/ n0_i u)))) (* n1_i u))
(*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) u)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 n0_i u) n1_i)) 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 (- (/ n0_i n1_i) (+ 1 (/ n0_i (* n1_i u)))))
(*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)
(* n1_i (+ u (* -1 (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) n1_i)
(* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))
(*.f32 (-.f32 (/.f32 (*.f32 n0_i u) n1_i) u) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 n0_i u) n1_i)) 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 (* -1 (/ (- n0_i (/ n0_i u)) n1_i)))))
(fma.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) n1_i (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (/ (* u (- n0_i (/ n0_i u))) n1_i))))
(*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) n1_i)
(* -1 (* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))))
(*.f32 (-.f32 (/.f32 (*.f32 n0_i u) n1_i) u) n1_i)

rewrite168.0ms (1.7%)

Memory
-22.6MiB live, 166.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069477
0101453
1373423
22558414
08604405
Stop Event
iter limit
node limit
iter limit
Counts
24 → 298
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #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 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))
(*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u)
#s(approx (- n1_i n0_i) (neg.f32 n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
(fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u))))
#s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))
(-.f32 n0_i (*.f32 n0_i u))
(/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u))))
(*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) 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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) 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)
(*.f32 (-.f32 n0_i n1_i) u)
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u))
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
Outputs
(/.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 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #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 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))))
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(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 u u)) (-.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)) u))
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))) (/.f32 (*.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))
(-.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 u u (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u))))) (/.f32 (*.f32 (neg.f32 (pow.f32 u #s(literal 3/2 binary32))) (pow.f32 u #s(literal 3/2 binary32))) (fma.f32 u u (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u))))))
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(-.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 u u (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u))))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 u u (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u))))))
(-.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))) (/.f32 (*.f32 (neg.f32 (pow.f32 u #s(literal 3/2 binary32))) (pow.f32 u #s(literal 3/2 binary32))) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))))
(-.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))) (/.f32 (*.f32 (*.f32 (neg.f32 u) u) u) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))))
(-.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))))
(-.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)) u)) (/.f32 (*.f32 u u) (-.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)) u)))
(-.f32 u (*.f32 (neg.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))))
(-.f32 u (*.f32 (neg.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))
(-.f32 u (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))))
(fma.f32 (sqrt.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u))) (sqrt.f32 (neg.f32 u)) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 u))) (sqrt.f32 (neg.f32 (neg.f32 u))) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))
(fma.f32 (sqrt.f32 (neg.f32 u)) (sqrt.f32 (neg.f32 u)) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))
(fma.f32 (sqrt.f32 u) (sqrt.f32 u) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))
(fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) u)
(fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) u)
(fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) u)
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) u)
(fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u)
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) u)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) u)
(fma.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) u)
(fma.f32 normAngle (*.f32 normAngle (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) u)
(fma.f32 u #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))
(fma.f32 #s(literal 1 binary32) u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))
(+.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 u (-.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))))))
(+.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)) u)
(+.f32 u (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u))
(*.f32 (*.f32 #s(literal -1/6 binary32) (neg.f32 normAngle)) (neg.f32 normAngle))
(*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle (*.f32 #s(literal -1/6 binary32) normAngle))

eval57.0ms (0.6%)

Memory
-11.1MiB live, 82.9MiB allocated
Compiler

Compiled 23 223 to 1 908 computations (91.8% saved)

prune34.0ms (0.3%)

Memory
24.2MiB live, 71.1MiB allocated
Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New3388346
Fresh51621
Picked055
Done134
Total34432376
Accuracy
100.0%
Counts
376 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
69.3%
(/.f32 (+.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))) (sin.f32 (neg.f32 normAngle)))
97.2%
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
98.5%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
38.9%
(+.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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
98.7%
(+.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 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)) u)) n1_i))
98.9%
(+.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))
98.4%
(+.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))) #s(approx (+ (* (* (* normAngle normAngle) -1/6) (- (pow u 3) u)) u) (*.f32 (pow.f32 (neg.f32 u) #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (/.f32 normAngle u) normAngle) (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 (/.f32 #s(literal 1 binary32) u) u))))) n1_i))
82.7%
(+.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))
98.2%
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
98.2%
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
43.4%
#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))
42.0%
#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)))
53.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
53.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
53.9%
#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))))
42.0%
#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)))
98.1%
#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 (-.f32 #s(literal 1 binary32) u))))
98.1%
#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 n0_i (*.f32 n0_i u)))))
41.7%
#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))))
36.1%
#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 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i))))
97.7%
#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 (-.f32 n0_i (/.f32 n0_i u))) u)))
97.8%
#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 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
98.1%
#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 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_i) u) n0_i) u)))))
96.0%
#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)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 n0_i n1_i) u) u) (*.f32 n0_i u)) (*.f32 u 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) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)))))
8.4%
#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) (neg.f32 n0_i)) u)))
42.0%
#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)) (*.f32 n1_i u)))
97.8%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (-.f32 (*.f32 n1_i u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) n0_i)))))
53.7%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))
97.6%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) n1_i))))
53.6%
#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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i) u))))
Compiler

Compiled 3 833 to 1 178 computations (69.3% saved)

regimes79.0ms (0.8%)

Memory
16.8MiB live, 112.1MiB allocated
Counts
60 → 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 n1_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 #s(approx (- n1_i n0_i) (neg.f32 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 (-.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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 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)) (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)) (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)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (*.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 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 #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.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 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.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 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 (*.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) #s(approx (* n0_i (- 1 u)) (-.f32 n0_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) (*.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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i 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 (+ (* (- 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) 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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_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 (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i 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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (-.f32 (*.f32 n1_i u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) 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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) 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 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 n0_i n1_i) u) u) (*.f32 n0_i u)) (*.f32 u u))))))
(+.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 (/.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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) 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 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle)) u)) n1_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.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)) (+.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (/.f32 (*.f32 (*.f32 (neg.f32 n1_i) u) (*.f32 n1_i u)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i 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))) #s(approx (+ (* (* (* normAngle normAngle) -1/6) (- (pow u 3) u)) u) (*.f32 (pow.f32 (neg.f32 u) #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (/.f32 normAngle u) normAngle) (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 (/.f32 #s(literal 1 binary32) u) u))))) n1_i))
#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 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(approx (* (/ n1_i (sin normAngle)) (sin (* normAngle u))) (*.f32 n1_i u)) (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i))
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
(+.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))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_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 (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
(/.f32 (fma.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(/.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 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i))) (sin.f32 (neg.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))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (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 (*.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 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 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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 (-.f32 (*.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)) 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 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i))
(+.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (/.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (pow.f32 (sin.f32 normAngle) #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 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.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:

18.0ms
normAngle
16.0ms
n0_i
14.0ms
n1_i
14.0ms
u
14.0ms
(+.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))
Results
AccuracySegmentsBranch
98.9%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))
98.9%1normAngle
98.9%1u
98.9%1n0_i
98.9%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes39.0ms (0.4%)

Memory
-0.0MiB live, 45.8MiB allocated
Counts
29 → 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 n1_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 #s(approx (- n1_i n0_i) (neg.f32 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 (-.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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 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)) (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)) (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)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (*.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 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 #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.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 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.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 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 (*.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) #s(approx (* n0_i (- 1 u)) (-.f32 n0_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) (*.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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i 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 (+ (* (- 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) 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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (-.f32 n0_i n1_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 (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i 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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (-.f32 (*.f32 n1_i u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) 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)) #s(approx (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (*.f32 (-.f32 u (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) u) n1_i)) 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 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 n0_i n1_i) u) u) (*.f32 n0_i u)) (*.f32 u u))))))
(+.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 n1_i u) #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 n0_i u)))))
Calls

5 calls:

9.0ms
n1_i
7.0ms
(+.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))
7.0ms
n0_i
7.0ms
u
7.0ms
normAngle
Results
AccuracySegmentsBranch
98.1%1n0_i
98.1%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))
98.1%1normAngle
98.1%1u
98.1%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes50.0ms (0.5%)

Memory
-17.5MiB live, 28.2MiB allocated
Counts
15 → 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 n1_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 #s(approx (- n1_i n0_i) (neg.f32 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 (-.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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 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)) (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)) (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)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (*.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 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 #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.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 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.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 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 (*.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)))
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 n1_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)) (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 n1_i u)))
Calls

5 calls:

33.0ms
normAngle
4.0ms
(+.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))
4.0ms
n0_i
4.0ms
u
4.0ms
n1_i
Results
AccuracySegmentsBranch
50.0%2u
59.6%3n1_i
42.0%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))
42.0%1normAngle
58.2%3n0_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes7.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Accuracy

Total -10.7b remaining (-57.8%)

Threshold costs -10.7b (-57.8%)

Counts
4 → 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 n1_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 #s(approx (- n1_i n0_i) (neg.f32 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 (-.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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 n1_i)))))
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 n1_i u)))
Calls

4 calls:

2.0ms
n1_i
2.0ms
n0_i
2.0ms
normAngle
2.0ms
u
Results
AccuracySegmentsBranch
42.0%1normAngle
42.0%1u
42.0%1n0_i
42.0%1n1_i
Compiler

Compiled 4 to 16 computations (-300% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
6.959055120087301e-23
1.3424497883672468e-22
0.0ms
-3.2442743271462667e-18
-3.140372377198634e-18
Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify69.0ms (0.7%)

Memory
1.6MiB live, 47.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048206
185186
2167174
3395174
4782174
51241174
61961174
73780174
87637174
Stop Event
node 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))
#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 n0_i (*.f32 n0_i u)))))
(if (<=.f32 n1_i #s(literal -7737125/2417851639229258349412352 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 n1_i u))) (if (<=.f32 n1_i #s(literal 15845633/158456325028528675187087900672 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)) (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 n1_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 n1_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))
#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 n0_i (*.f32 n0_i u)))))
(if (<=.f32 n1_i #s(literal -7737125/2417851639229258349412352 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 n1_i u))) (if (<=.f32 n1_i #s(literal 15845633/158456325028528675187087900672 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)) (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 n1_i u)))))
(if (or (<=.f32 n1_i #s(literal -7737125/2417851639229258349412352 binary32)) (not (<=.f32 n1_i #s(literal 15845633/158456325028528675187087900672 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 n1_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)) (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 n1_i u)))

soundness1.1s (10.8%)

Memory
21.3MiB live, 915.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06363993
121653542
084203354
03211535
110921412
244151356
082081277
04842202
116692012
264181997
082271894
04932332
117112139
265672122
080792009
069477
0101453
1373423
22558414
08604405
057315
098289
1280252
21893252
08313247
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 358 to 194 computations (45.8% saved)

preprocess28.0ms (0.3%)

Memory
-0.6MiB live, 45.2MiB allocated
Remove

(abs normAngle)

Compiler

Compiled 534 to 182 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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