rsin B (should all be same)

Time bar (total: 12.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze799.0ms (6.2%)

Memory
-0.6MiB live, 274.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (14.3%)

Memory
50.0MiB live, 2 297.9MiB allocated
Samples
1.1s5 824×1valid
371.0ms2 432×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 324.0ms (28.7% of total)
ival-sin: 254.0ms (22.5% of total)
ival-add: 252.0ms (22.3% of total)
adjust: 115.0ms (10.2% of total)
ival-mult: 105.0ms (9.3% of total)
ival-div: 69.0ms (6.1% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain137.0ms (1.1%)

Memory
-34.6MiB live, 245.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
73115(-1.8018907077418504e-255 1.720341898463959e+293 -6.330250774534832e-18)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1880
Confusion
Predicted +Predicted -
+720
-11668
Precision
0.3829787234042553
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7200
-116068
Precision?
0.3829787234042553
Recall?
1.0
Freqs
test
numberfreq
068
1188
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms366×1valid
12.0ms146×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-cos: 17.0ms (32.3% of total)
ival-sin: 14.0ms (26.6% of total)
adjust: 6.0ms (11.4% of total)
ival-mult: 6.0ms (11.4% of total)
ival-add: 5.0ms (9.5% of total)
ival-div: 4.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess102.0ms (0.8%)

Memory
17.6MiB live, 56.9MiB allocated
Algorithm
1×egg-herbie
Rules
654×times-frac
520×associate-*r*
518×unsub-neg
466×distribute-rgt-in
464×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03788
18984
217884
343184
4107984
5251084
6326884
7366484
8424484
9462084
10463284
11463684
12463684
13467684
14469284
15469284
089
0139
1179
2199
3219
4229
0229
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Symmetry

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Rules
12×lower-*.f32
10×lower-*.f64
6×*-commutative
6×lower-/.f32
4×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01328
11728
21928
32128
42228
02228
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize63.0ms (0.5%)

Memory
-57.2MiB live, 59.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 b)
accuracy0.15234375
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.21875
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy15.526717181002743
(cos.f64 (+.f64 a b))
Samples
31.0ms183×1valid
5.0ms73×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 7.0ms (29.2% of total)
ival-sin: 6.0ms (25.1% of total)
adjust: 3.0ms (12.5% of total)
ival-mult: 3.0ms (12.5% of total)
ival-add: 2.0ms (8.4% of total)
ival-div: 2.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1/6 (pow b 2)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(/ (sin b) (cos (+ a b)))
2.0ms
r
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@inf
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
r
@inf
(* r (/ (sin b) (cos (+ a b))))

simplify383.0ms (3%)

Memory
12.8MiB live, 278.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 408×lower-fma.f64
9 408×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
2 876×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
Stop Event
1×iter limit
1×node limit
Counts
96 → 95
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (*.f64 (neg.f64 a) (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))

rewrite277.0ms (2.2%)

Memory
8.3MiB live, 315.0MiB allocated
Rules
6 400×lower-*.f32
6 398×lower-*.f64
4 812×lower-/.f32
4 810×lower-/.f64
3 770×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
14422
223422
3198522
01021222
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 (neg.f64 b)))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 a b))))))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval45.0ms (0.4%)

Memory
3.5MiB live, 57.0MiB allocated
Compiler

Compiled 4 900 to 750 computations (84.7% saved)

prune73.0ms (0.6%)

Memory
-29.4MiB live, 126.2MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New22233255
Fresh000
Picked101
Done000
Total22333256
Accuracy
99.9%
Counts
256 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
74.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
▶75.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
75.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
75.3%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
▶99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.9%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
75.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))))
75.7%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
32.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
▶51.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
51.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
60.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
▶60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
52.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
61.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
54.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
50.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
50.7%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
50.7%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
75.7%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
75.7%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
50.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))))
50.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
54.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (sin.f64 b) (cos.f64 b)))))
50.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
36.8%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
58.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
61.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
▶50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 1 486 to 848 computations (42.9% saved)

simplify597.0ms (4.7%)

Memory
36.6MiB live, 194.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
cost-diff6080
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
cost-diff0
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 b (/.f64 r (cos.f64 a)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
Rules
6 216×lower-fma.f32
6 208×lower-fma.f64
2 584×lower-*.f32
2 564×lower-*.f64
1 390×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042327
074327
1127327
2221327
3387327
4532327
5788327
61342327
72508327
83123327
93480327
103994327
114331327
124588327
135001327
145465327
155687327
165779327
175805327
185817327
195817327
206471327
216763327
227011327
237425327
247425327
257425327
267425327
277425327
287433327
297457327
307480327
317480327
327492327
07492327
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
a
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(sin.f64 a)
a
(fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 b #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
#s(literal -1/2 binary64)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
a
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(fma.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(sin.f64 a)
a
(fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 b #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
#s(literal -1/2 binary64)

localize354.0ms (2.8%)

Memory
5.5MiB live, 322.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
accuracy0.33984375
(*.f64 b #s(literal 1/6 binary64))
accuracy4.06844562047644
(fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
accuracy31.898243706480233
#s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
accuracy0.125
(*.f64 (sin.f64 b) a)
accuracy0.15234375
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
accuracy0.21875
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
accuracy29.99278069201677
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
accuracy0
(sin.f64 b)
accuracy0.203125
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy0.20703125
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy15.526717181002743
(cos.f64 (+.f64 b a))
accuracy0
(cos.f64 a)
accuracy0.1015625
(*.f64 b (/.f64 r (cos.f64 a)))
accuracy0.140625
(/.f64 r (cos.f64 a))
accuracy31.68214847419405
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
accuracy0.08203125
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy0.10510504138909577
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy0.15234375
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
accuracy0.21875
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
278.0ms183×1valid
21.0ms73×0valid
Compiler

Compiled 247 to 40 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-add: 82.0ms (33% of total)
ival-div: 53.0ms (21.4% of total)
ival-mult: 31.0ms (12.5% of total)
ival-cos: 30.0ms (12.1% of total)
ival-sin: 25.0ms (10.1% of total)
adjust: 13.0ms (5.2% of total)
ival-sub: 7.0ms (2.8% of total)
const: 5.0ms (2% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series111.0ms (0.9%)

Memory
-26.3MiB live, 124.9MiB allocated
Counts
23 → 600
Calls
Call 1
Inputs
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 b (/.f64 r (cos.f64 a))) (patch (*.f64 b (/.f64 r (cos.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (+.f64 b a))) (patch (/.f64 r (cos.f64 (+.f64 b a))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)) (patch (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) a) (patch (*.f64 (sin.f64 b) a) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (sin a)) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow b 2) (sin a))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow b 2) (sin a))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a)))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a)))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (patch (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 1/6 binary64)) (patch (*.f64 b #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
Calls

150 calls:

TimeVariablePointExpression
23.0ms
r
@0
(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
15.0ms
a
@-inf
(/ r (cos (+ b a)))
7.0ms
b
@0
(* (cos a) (cos b))
5.0ms
a
@-inf
(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
2.0ms
a
@inf
(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))

simplify317.0ms (2.5%)

Memory
50.5MiB live, 469.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 212×lower-fma.f64
11 212×lower-fma.f32
7 166×lower-*.f64
7 166×lower-*.f32
3 470×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05727747
118297390
263787237
084596990
Stop Event
1×iter limit
1×node limit
Counts
600 → 592
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
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(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* a b)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(* -1/2 b)
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(* -1 (sin a))
(+ (* -1 (sin a)) (* -1/2 (* b (cos a))))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(* 1/6 (* (pow b 2) (sin a)))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(* 1/6 (* (pow b 2) (sin a)))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (fma.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
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(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* a b)
(*.f64 b a)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 a #s(literal -1/6 binary64))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 b (*.f64 b #s(literal 1/120 binary64))) (*.f64 a #s(literal -1/6 binary64))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 1/120 binary64) (*.f64 a (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) (*.f64 a #s(literal -1/6 binary64))) a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1)))
(fma.f64 b #s(literal -1/2 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1)))
(fma.f64 a (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b a) #s(literal -1 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1)))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(* -1 (sin a))
(neg.f64 (sin.f64 a))
(+ (* -1 (sin a)) (* -1/2 (* b (cos a))))
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(* 1/6 (* (pow b 2) (sin a)))
(*.f64 b (*.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) (/.f64 #s(literal -1/2 binary64) b) (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (/.f64 (sin.f64 a) b)) b)))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (/.f64 (sin.f64 a) b)) b)))
(* 1/6 (* (pow b 2) (sin a)))
(*.f64 b (*.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) (/.f64 #s(literal -1/2 binary64) b) (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) #s(literal 1/6 binary64) (/.f64 (fma.f64 (cos.f64 a) #s(literal 1/2 binary64) (/.f64 (sin.f64 a) b)) (neg.f64 b))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) #s(literal 1/6 binary64) (/.f64 (fma.f64 (cos.f64 a) #s(literal 1/2 binary64) (/.f64 (sin.f64 a) b)) (neg.f64 b))))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))

rewrite417.0ms (3.3%)

Memory
-26.5MiB live, 497.8MiB allocated
Rules
4 582×lower-fma.f32
4 574×lower-fma.f64
4 376×lower-/.f32
4 366×lower-/.f64
4 164×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042263
074277
1263242
21811242
08546242
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 731
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (sin.f64 b) a)
#s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(*.f64 b #s(literal 1/6 binary64))
Outputs
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 (neg.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 (neg.f64 b)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 r) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 (neg.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 (neg.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 (neg.f64 b)) r) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))) (neg.f64 (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (*.f64 b b)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (+.f64 (neg.f64 (sin.f64 a)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (neg.f64 (sin.f64 a)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (+.f64 (neg.f64 (sin.f64 a)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (neg.f64 (sin.f64 a)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))) (neg.f64 (sin.f64 a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (*.f64 (sin.f64 a) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))))))))
(*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))))))
(*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))
(*.f64 b #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) b)

eval204.0ms (1.6%)

Memory
-22.3MiB live, 365.3MiB allocated
Compiler

Compiled 33 261 to 2 648 computations (92% saved)

prune578.0ms (4.5%)

Memory
9.8MiB live, 611.5MiB allocated
Pruning

64 alts after pruning (61 fresh and 3 done)

PrunedKeptTotal
New1 360501 410
Fresh171128
Picked235
Done000
Total1 379641 443
Accuracy
100.0%
Counts
1 443 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
60.2%
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)))
74.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
59.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) r))
74.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
99.1%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
75.6%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
▶99.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
99.1%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
99.1%
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
▶32.8%
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
68.5%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
50.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
50.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
43.6%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
61.9%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
50.4%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) (sin.f64 b))
52.4%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) (sin.f64 b))
51.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))) (sin.f64 b))
61.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
54.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
75.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
50.9%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))))
75.3%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
✓99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
60.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
63.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
55.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))
75.3%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (-.f64 a b)))))
75.7%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
61.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
▶54.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
60.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
✓60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
37.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
50.6%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
50.7%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
50.6%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
49.7%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
36.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
▶50.6%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
75.7%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
50.4%
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
36.8%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
61.8%
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
99.6%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
50.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
49.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
49.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
✓50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
36.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
▶37.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Compiler

Compiled 2 731 to 1 622 computations (40.6% saved)

simplify297.0ms (2.3%)

Memory
17.0MiB live, 128.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
cost-diff0
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
cost-diff0
(/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
cost-diff0
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
cost-diff0
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
cost-diff0
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
cost-diff0
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
cost-diff0
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
cost-diff0
(*.f64 r b)
cost-diff0
#s(approx (* b (/ r (cos a))) (*.f64 r b))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
cost-diff0
(sin.f64 (neg.f64 b))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
cost-diff0
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Rules
2 752×lower-fma.f32
2 744×lower-fma.f64
1 984×lower-*.f32
1 964×lower-*.f64
850×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050382
082365
1124361
2164361
3211361
4263361
5409361
6689361
71102361
81895361
92672361
104013361
115064361
125219361
135270361
145300361
155304361
165910361
176160361
186166361
196166361
206190361
216190361
226226361
236230361
246230361
256230361
06230357
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
b
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
r
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
a
(*.f64 a a)
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(fma.f64 b (-.f64 b a) (*.f64 a a))
(-.f64 b a)
(sin.f64 b)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
r
(/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
b
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
#s(literal -1/6 binary64)
(*.f64 b b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
r
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
b
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a (-.f64 a b))))))
r
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
a
(*.f64 a a)
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(fma.f64 b (-.f64 b a) (*.f64 a a))
(fma.f64 b b (*.f64 a (-.f64 a b)))
(-.f64 b a)
(sin.f64 b)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
r
(/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
#s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)
b
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 b b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)

localize325.0ms (2.5%)

Memory
4.1MiB live, 369.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
accuracy0.16015625
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
accuracy0.21875
(/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
accuracy31.773066385519844
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
accuracy0.20703125
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
accuracy1.9453083716604118
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
accuracy15.526717181002743
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
accuracy42.869978092649426
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
accuracy0
(cos.f64 a)
accuracy0.15234375
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
accuracy0.21875
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
accuracy29.476102024451425
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))
accuracy0
(*.f64 r b)
accuracy22.725843079686676
#s(approx (* b (/ r (cos a))) (*.f64 r b))
accuracy31.68214847419405
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
accuracy0.08203125
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy0.10510504138909577
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy0.203125
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
accuracy0.20703125
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
207.0ms185×1valid
31.0ms71×0valid
Compiler

Compiled 353 to 41 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-cos: 90.0ms (45.9% of total)
ival-mult: 42.0ms (21.4% of total)
ival-sin: 19.0ms (9.7% of total)
ival-div: 14.0ms (7.1% of total)
adjust: 12.0ms (6.1% of total)
ival-add: 9.0ms (4.6% of total)
const: 6.0ms (3.1% of total)
ival-sub: 2.0ms (1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series105.0ms (0.8%)

Memory
-11.7MiB live, 63.5MiB allocated
Counts
23 → 576
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())
#s(alt (sin.f64 (neg.f64 b)) (patch (sin.f64 (neg.f64 b)) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b))) #<representation binary64>) () ())
#s(alt #s(approx (* b (/ r (cos a))) (*.f64 r b)) (patch #s(approx (* b (/ r (cos a))) (*.f64 r b)) #<representation binary64>) () ())
#s(alt (*.f64 r b) (patch (*.f64 r b) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (patch #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (patch #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (patch (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos b)) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (patch (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))) (taylor inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))) (taylor inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))) (taylor inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))) (taylor inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))) (taylor -inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) (patch (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (patch (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (patch (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

144 calls:

TimeVariablePointExpression
19.0ms
r
@0
(/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
3.0ms
r
@0
(* (/ r (cos (/ (+ (* a (* a a)) (* b (* b b))) (+ (* b (- b a)) (* a a))))) (sin b))
1.0ms
b
@-inf
(* (/ r (cos (/ (+ (* a (* a a)) (* b (* b b))) (+ (* b (- b a)) (* a a))))) (sin b))
1.0ms
a
@-inf
(* (/ r (cos (/ (+ (* a (* a a)) (* b (* b b))) (+ (* b (- b a)) (* a a))))) (sin b))
1.0ms
b
@inf
(* (/ r (cos (/ (+ (* a (* a a)) (* b (* b b))) (+ (* b (- b a)) (* a a))))) (sin b))

simplify242.0ms (1.9%)

Memory
38.0MiB live, 445.1MiB allocated
Algorithm
1×egg-herbie
Rules
6 960×lower-fma.f64
6 960×lower-fma.f32
5 896×lower-*.f64
5 896×lower-*.f32
1 998×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05799010
118518695
265908404
082678112
Stop Event
1×iter limit
1×node limit
Counts
576 → 567
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (cos b))
(+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(* -1 b)
(* b (- (* 1/6 (pow b 2)) 1))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(sin (neg b))
(sin (neg b))
(sin (neg b))
(sin (neg b))
(sin (* -1 b))
(sin (* -1 b))
(sin (* -1 b))
(sin (* -1 b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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b
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a
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b
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(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* -1/6 (pow b 3))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(* -1/6 (pow b 3))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(pow b 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(pow a 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow b 3)
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) (sin.f64 b)) (cos.f64 b))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
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(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 a a) (*.f64 a a))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 b (*.f64 b (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(pow b 3)
(*.f64 b (*.f64 b b))
(+ (pow a 3) (pow b 3))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
(+ (pow a 3) (pow b 3))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
(+ (pow a 3) (pow b 3))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(*.f64 (neg.f64 a) (*.f64 (*.f64 a a) (fma.f64 (*.f64 b (neg.f64 b)) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1 binary64))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(*.f64 (neg.f64 a) (*.f64 (*.f64 a a) (fma.f64 (*.f64 b (neg.f64 b)) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1 binary64))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(*.f64 (neg.f64 a) (*.f64 (*.f64 a a) (fma.f64 (*.f64 b (neg.f64 b)) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1 binary64))))
(pow a 3)
(*.f64 a (*.f64 a a))
(+ (pow a 3) (pow b 3))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
(+ (pow a 3) (pow b 3))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
(+ (pow a 3) (pow b 3))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (*.f64 b (*.f64 b (neg.f64 b))) (fma.f64 (*.f64 a (neg.f64 a)) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -1 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (*.f64 b (*.f64 b (neg.f64 b))) (fma.f64 (*.f64 a (neg.f64 a)) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -1 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (*.f64 b (*.f64 b (neg.f64 b))) (fma.f64 (*.f64 a (neg.f64 a)) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -1 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(* -1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))

rewrite318.0ms (2.5%)

Memory
-3.3MiB live, 489.7MiB allocated
Rules
5 154×lower-fma.f32
5 146×lower-fma.f64
4 716×lower-/.f32
4 708×lower-/.f64
3 882×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050303
082270
1243176
21585176
08300172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 756
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 r b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(sin.f64 b)
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
Outputs
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 (neg.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 r) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 (neg.f64 b)) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 (neg.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 (neg.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 (neg.f64 b)) r) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)))))
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(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
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(*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) b) (*.f64 b b))))))
(*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))))
(*.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))) (+.f64 b a))
(*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a a (fma.f64 b b (*.f64 b a)))) (/.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (-.f64 a b)))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(*.f64 (*.f64 b b) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal -1/6 binary64)) b)

eval342.0ms (2.7%)

Memory
-8.6MiB live, 467.4MiB allocated
Compiler

Compiled 43 238 to 2 793 computations (93.5% saved)

prune351.0ms (2.7%)

Memory
-34.7MiB live, 582.9MiB allocated
Pruning

76 alts after pruning (70 fresh and 6 done)

PrunedKeptTotal
New1 533321 565
Fresh183856
Picked235
Done033
Total1 553761 629
Accuracy
100.0%
Counts
1 629 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
50.7%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
60.2%
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)))
74.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
53.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (sin.f64 b)) r))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
99.1%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
▶75.6%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
✓99.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
50.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
50.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)))
60.0%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))) (sin.f64 b))
63.8%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
55.0%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
51.7%
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
53.0%
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
99.1%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
99.1%
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
16.4%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
36.6%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
17.5%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (fma.f64 b (-.f64 b a) (*.f64 a a))))))) (sin.f64 b))
68.5%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
50.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
25.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 b a) (*.f64 b b))))))) (sin.f64 b))
43.6%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
20.6%
(*.f64 (/.f64 r (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) (sin.f64 b))
61.9%
(*.f64 (/.f64 r (cos.f64 #s(approx (/ (+ (* a (* a a)) (* b (* b b))) (+ (* b (- b a)) (* a a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) (sin.f64 b))
61.8%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
54.0%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
54.1%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (sin.f64 b))
75.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
54.0%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
50.9%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))))
54.1%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) r))
75.3%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
✓99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
63.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
55.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))
75.3%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (-.f64 a b)))))
75.7%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
▶61.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
✓54.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
38.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
60.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
▶60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
✓60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
37.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
50.7%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
49.9%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
36.9%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
75.7%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
36.8%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
61.8%
#s(approx (* (/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
▶99.6%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
50.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
49.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
49.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
✓50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
▶36.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
✓37.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Compiler

Compiled 3 225 to 1 888 computations (41.5% saved)

simplify338.0ms (2.6%)

Memory
9.3MiB live, 200.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
cost-diff6080
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
cost-diff0
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
cost-diff0
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
cost-diff0
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
Rules
2 888×lower-fma.f32
2 882×lower-fma.f64
2 024×lower-*.f32
2 006×lower-*.f64
1 176×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053359
085347
1131347
2203347
3340347
4598347
5845347
61272347
72083347
82901347
93464347
104030347
114687347
125106347
135345347
145466347
155969347
166162347
176164347
186164347
196164347
206164347
216178347
226180347
236180347
246182347
06182347
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))
(sin.f64 a)
(sin.f64 (neg.f64 b))
(neg.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
b
(/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
r
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
a
(*.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
(cos.f64 b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
a
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
#s(literal -1/2 binary64)
(cos.f64 b)
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))
(sin.f64 a)
(sin.f64 (neg.f64 b))
(neg.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
b
(/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
r
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
a
(*.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
(cos.f64 b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
r
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 a (sin.f64 b))))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 a (sin.f64 b))))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 a (sin.f64 b)))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 a (sin.f64 b))))
a
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))
(-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
(*.f64 (cos.f64 b) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 b)

localize246.0ms (1.9%)

Memory
14.2MiB live, 328.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
accuracy0.1640625
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
accuracy0.21875
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
accuracy30.73989929268818
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
accuracy0.15234375
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
accuracy0.19921875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
accuracy0.21875
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
accuracy15.526717181002743
(cos.f64 (+.f64 b a))
accuracy0
(cos.f64 b)
accuracy0.15234375
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
accuracy0.21875
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
accuracy28.70510243629654
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
accuracy0.1015625
(*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy0.140625
(/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy30.717278437423936
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy31.68214847419405
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
accuracy0.109375
(*.f64 r (sin.f64 b))
accuracy0.13738251953688402
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
accuracy0.19140625
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
accuracy0.2421875
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))
Samples
166.0ms183×1valid
21.0ms73×0valid
Compiler

Compiled 262 to 42 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 36.0ms (23.8% of total)
ival-cos: 35.0ms (23.1% of total)
ival-div: 31.0ms (20.5% of total)
ival-sin: 22.0ms (14.5% of total)
adjust: 13.0ms (8.6% of total)
ival-add: 11.0ms (7.3% of total)
ival-sub: 2.0ms (1.3% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
7.1MiB live, 76.6MiB allocated
Counts
23 → 588
Calls
Call 1
Inputs
#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (patch (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (patch #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())
#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (patch (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) #<representation binary64>) () ())
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 a) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b))
1.0ms
b
@-inf
(+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b))
0.0ms
a
@0
(* a (* -1/2 (cos b)))
0.0ms
a
@-inf
(+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b))
0.0ms
a
@inf
(* a (* -1/2 (cos b)))

simplify265.0ms (2.1%)

Memory
31.1MiB live, 423.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 566×lower-fma.f64
8 566×lower-fma.f32
7 712×lower-*.f64
7 712×lower-*.f32
1 844×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04968115
115717754
254707537
086747287
Stop Event
1×iter limit
1×node limit
Counts
588 → 574
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
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r
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1
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r
r
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(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(* a (sin (neg b)))
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (cos.f64 a)))) (neg.f64 b) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (*.f64 a (-.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(* a (sin (neg b)))
(neg.f64 (*.f64 (sin.f64 b) a))
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))
(*.f64 a (fma.f64 a (*.f64 a (*.f64 (sin.f64 (neg.f64 b)) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)))) (sin.f64 (neg.f64 b))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)) (*.f64 (*.f64 (sin.f64 (neg.f64 b)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* -1 (* b (sin a)))
(neg.f64 (*.f64 b (sin.f64 a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 a))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(*.f64 b (fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* a (sin (neg b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))) (cos.f64 b))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 a)
(*.f64 a #s(literal -1/2 binary64))
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(fma.f64 a #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 b b))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 b b)) (*.f64 a #s(literal 1/4 binary64)))) (*.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 a (*.f64 b b)) #s(literal 1/1440 binary64) (*.f64 a #s(literal -1/48 binary64)))) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))

rewrite220.0ms (1.7%)

Memory
2.3MiB live, 363.0MiB allocated
Rules
3 592×lower-/.f32
3 578×lower-/.f64
3 096×lower-*.f32
3 078×lower-*.f64
2 130×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053294
085296
1299233
22017233
08413233
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 642
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(cos.f64 b)
(cos.f64 (+.f64 b a))
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))))
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(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (*.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 a b))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))
(*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) a)
(*.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64))

eval201.0ms (1.6%)

Memory
-28.9MiB live, 325.0MiB allocated
Compiler

Compiled 27 988 to 1 985 computations (92.9% saved)

prune403.0ms (3.1%)

Memory
17.5MiB live, 558.7MiB allocated
Pruning

96 alts after pruning (87 fresh and 9 done)

PrunedKeptTotal
New1 291321 323
Fresh105565
Picked235
Done066
Total1 303961 399
Accuracy
100.0%
Counts
1 399 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
61.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
50.7%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
60.2%
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)))
74.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
53.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (sin.f64 b)) r))
74.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
61.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
99.1%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.5%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
71.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
61.7%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
✓99.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
50.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
50.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)))
60.0%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))) (sin.f64 b))
63.8%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
55.0%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
51.7%
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
53.0%
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
99.1%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
99.1%
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
16.4%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
36.6%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
17.5%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (fma.f64 b (-.f64 b a) (*.f64 a a))))))) (sin.f64 b))
68.5%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
50.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
25.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 b a) (*.f64 b b))))))) (sin.f64 b))
43.6%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
20.6%
(*.f64 (/.f64 r (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) (sin.f64 b))
61.9%
(*.f64 (/.f64 r (cos.f64 #s(approx (/ (+ (* a (* a a)) (* b (* b b))) (+ (* b (- b a)) (* a a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) (sin.f64 b))
61.8%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
54.0%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
54.1%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (sin.f64 b))
61.8%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
54.0%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
61.7%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r))
54.1%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) r))
75.3%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
✓99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
63.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
55.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))
75.3%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (-.f64 a b)))))
75.7%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
✓61.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
✓54.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
37.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
37.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
37.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
38.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
38.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) #s(approx (cos b) #s(literal 1 binary64))))))
59.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 #s(approx (* a (* -1/2 (cos b))) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
✓60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
37.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
11.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
36.9%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
37.1%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
49.9%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
36.9%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
61.8%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)))
36.8%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
✓99.6%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
62.1%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (sin (neg b))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))))
67.0%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (sin (neg b))) (neg.f64 (*.f64 (sin.f64 b) a))))))
51.2%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
55.0%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) #s(approx (cos b) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
99.1%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
36.1%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
50.6%
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
50.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
49.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
35.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
36.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
✓50.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
✓36.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
36.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
✓37.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Compiler

Compiled 4 862 to 1 760 computations (63.8% saved)

regimes262.0ms (2%)

Memory
-2.1MiB live, 317.1MiB allocated
Counts
148 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
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#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (sin (neg b))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))))
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (-.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (sin.f64 b) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
Calls

5 calls:

60.0ms
a
51.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
49.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
49.0ms
b
43.0ms
r
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes252.0ms (2%)

Memory
2.2MiB live, 382.1MiB allocated
Counts
135 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
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#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
Calls

5 calls:

58.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
57.0ms
b
47.0ms
r
42.0ms
a
41.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes201.0ms (1.6%)

Memory
-12.5MiB live, 350.5MiB allocated
Counts
132 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) r))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ (+ (* a (* a a)) (* b (* b b))) (+ (* b (- b a)) (* a a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (sin.f64 b)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 b a) (*.f64 b b))))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 #s(approx (* a (* -1/2 (cos b))) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) #s(approx (cos b) #s(literal 1 binary64))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (fma.f64 b (-.f64 b a) (*.f64 a a))))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) r))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) #s(approx (cos b) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (sin (neg b))) (neg.f64 (*.f64 (sin.f64 b) a))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (sin (neg b))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))))
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 #s(approx (sin (neg b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Calls

5 calls:

47.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
42.0ms
b
35.0ms
r
35.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
35.0ms
a
Results
AccuracySegmentsBranch
75.7%1r
75.7%1a
75.7%1b
75.7%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.7%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes82.0ms (0.6%)

Memory
8.8MiB live, 127.0MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

20.0ms
a
16.0ms
r
16.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
14.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
14.0ms
b
Results
AccuracySegmentsBranch
75.7%1r
75.7%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.7%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
75.7%1a
75.7%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes81.0ms (0.6%)

Memory
-1.4MiB live, 155.1MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
Outputs
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Calls

5 calls:

19.0ms
b
17.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
14.0ms
a
14.0ms
r
13.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
61.8%1r
75.3%3a
75.2%3b
61.8%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.2%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes15.0ms (0.1%)

Memory
-6.1MiB live, 32.5MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Calls

1 calls:

12.0ms
a
Results
AccuracySegmentsBranch
75.3%3a
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory
0.3MiB live, 60.9MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (sin b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
Calls

2 calls:

16.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
75.2%3b
73.9%3a
Compiler

Compiled 8 to 6 computations (25% saved)

regimes56.0ms (0.4%)

Memory
7.6MiB live, 123.5MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

5 calls:

12.0ms
a
11.0ms
b
11.0ms
r
10.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
50.7%1r
50.7%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
50.7%1a
54.8%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.9%3b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes13.0ms (0.1%)

Memory
-26.8MiB live, 17.3MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
54.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory
32.4MiB live, 32.4MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

2 calls:

9.0ms
b
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
54.7%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.8%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes17.0ms (0.1%)

Memory
-7.5MiB live, 31.4MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (+ (* (sin a) (+ (* b (* b 1/6)) -1)) (* b (* (cos a) -1/2)))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

2 calls:

8.0ms
b
8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
54.6%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.6%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
-20.9MiB live, 17.9MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

2 calls:

6.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
b
Results
AccuracySegmentsBranch
54.6%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.6%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes26.0ms (0.2%)

Memory
11.3MiB live, 50.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Calls

5 calls:

5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
b
5.0ms
a
5.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms
r
Results
AccuracySegmentsBranch
50.4%1r
50.4%1a
50.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
50.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
50.4%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes24.0ms (0.2%)

Memory
-2.6MiB live, 40.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Calls

5 calls:

5.0ms
r
4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
b
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
a
Results
AccuracySegmentsBranch
50.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
50.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
50.4%1r
50.4%1b
50.4%1a
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes21.0ms (0.2%)

Memory
7.9MiB live, 46.6MiB allocated
Accuracy

Total -1.3b remaining (-3.3%)

Threshold costs -1.3b (-3.3%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Calls

5 calls:

5.0ms
r
4.0ms
a
4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
b
Results
AccuracySegmentsBranch
37.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
37.1%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
37.1%1r
37.1%1b
37.1%1a
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch65.0ms (0.5%)

Memory
14.3MiB live, 92.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
3835393160939965.0
6.980968562130543e+35
23.0ms
-15023841.358861923
-0.009952746635791848
Samples
33.0ms202×1valid
15.0ms118×0valid
Compiler

Compiled 495 to 334 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 18.0ms (47.3% of total)
ival-sin: 7.0ms (18.4% of total)
ival-add: 3.0ms (7.9% of total)
ival-div: 3.0ms (7.9% of total)
adjust: 3.0ms (7.9% of total)
ival-mult: 3.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3835393160939965.0
6.980968562130543e+35
1.0ms
-15023841.358861923
-0.009952746635791848
Compiler

Compiled 495 to 334 computations (32.5% saved)

bsearch82.0ms (0.6%)

Memory
-32.5MiB live, 45.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
2.7225518213377914e-7
1.679897316337742e-5
41.0ms
-312526825.7403924
-959.7202569146801
Samples
16.0ms110×1valid
13.0ms146×0valid
Compiler

Compiled 415 to 286 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 7.0ms (31.9% of total)
ival-sin: 6.0ms (27.4% of total)
ival-add: 2.0ms (9.1% of total)
ival-div: 2.0ms (9.1% of total)
adjust: 2.0ms (9.1% of total)
ival-mult: 2.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory
14.5MiB live, 52.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.10952534069154451
1.3570478041872902
27.0ms
-959.7202569146801
-9.254491866452633e-13
Samples
18.0ms108×1valid
13.0ms148×0valid
Compiler

Compiled 687 to 414 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 7.0ms (31.3% of total)
ival-cos: 7.0ms (31.3% of total)
ival-add: 2.0ms (9% of total)
ival-div: 2.0ms (9% of total)
adjust: 2.0ms (9% of total)
ival-mult: 2.0ms (9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
-11.7MiB live, 25.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.10952534069154451
1.3570478041872902
14.0ms
-959.7202569146801
-9.254491866452633e-13
Samples
5.0ms51×0valid
5.0ms29×1valid
Compiler

Compiled 607 to 366 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 3.0ms (39% of total)
ival-cos: 3.0ms (39% of total)
ival-add: 1.0ms (13% of total)
ival-div: 1.0ms (13% of total)
ival-mult: 1.0ms (13% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.10952534069154451
1.3570478041872902
1.0ms
-959.7202569146801
-9.254491866452633e-13
Compiler

Compiled 527 to 334 computations (36.6% saved)

bsearch13.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.10952534069154451
1.3570478041872902
3.0ms
-959.7202569146801
-9.254491866452633e-13
Samples
5.0ms33×1valid
3.0ms47×0valid
Compiler

Compiled 415 to 286 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (34.4% of total)
ival-add: 1.0ms (17.2% of total)
ival-div: 1.0ms (17.2% of total)
adjust: 1.0ms (17.2% of total)
ival-mult: 1.0ms (17.2% of total)
ival-sin: 1.0ms (17.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.10952534069154451
1.3570478041872902
1.0ms
-959.7202569146801
-9.254491866452633e-13
Compiler

Compiled 383 to 254 computations (33.7% saved)

simplify12.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128637
1155637
2157637
3158637
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -8070450532247929/576460752303423488 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 3900000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -8070450532247929/576460752303423488 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 3900000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -960 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 8854437155380585/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -5 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -6980579422424269/2251799813685248 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3152519739159347/4503599627370496 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3152519739159347/4503599627370496 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 a #s(literal -8070450532247929/576460752303423488 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 3900000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -8070450532247929/576460752303423488 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))) (if (<=.f64 a #s(literal 3900000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -8070450532247929/576460752303423488 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 3900000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -960 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 8854437155380585/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -960 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 8854437155380585/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 b (/.f64 #s(literal 1 binary64) (cos.f64 a))))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -5 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -5 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 b a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -6980579422424269/2251799813685248 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -6980579422424269/2251799813685248 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 b a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3152519739159347/4503599627370496 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3152519739159347/4503599627370496 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 b (/.f64 #s(literal 1 binary64) (cos.f64 a))))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3152519739159347/4503599627370496 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

soundness1.2s (9.1%)

Memory
-8.0MiB live, 643.6MiB allocated
Rules
11 212×lower-fma.f64
11 212×lower-fma.f32
9 408×lower-fma.f64
9 408×lower-fma.f32
7 166×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
05799010
118518695
265908404
082678112
0822
01322
14422
223422
3198522
01021222
05727747
118297390
263787237
084596990
042263
074277
1263242
21811242
08546242
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 925 to 441 computations (52.3% saved)

preprocess269.0ms (2.1%)

Memory
-26.7MiB live, 174.7MiB allocated
Remove

(negabs r)

Compiler

Compiled 876 to 278 computations (68.3% saved)

end0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated

Profiling

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