rsin B (should all be same)

Time bar (total: 12.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze367.0ms (3%)

Memory
6.0MiB live, 402.9MiB 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)

sample2.0s (16.2%)

Memory
-61.1MiB live, 2 392.1MiB allocated
Samples
1.2s5 868×1valid
417.0ms2 388×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-cos: 528.0ms (38.1% of total)
ival-sin: 453.0ms (32.7% of total)
adjust: 110.0ms (7.9% of total)
ival-mult: 104.0ms (7.5% of total)
ival-add: 95.0ms (6.9% of total)
ival-div: 86.0ms (6.2% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain130.0ms (1.1%)

Memory
-23.0MiB live, 172.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
69121(1.6117155028093117e-181 1.2324917826715484e+278 1.6699921676506617e-174)1(4.190222418011466e+207 1.4670491072410808e-13 -84.39440443604539)(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))sensitivity1891
Confusion
Predicted +Predicted -
+680
-12167
Precision
0.35978835978835977
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6800
-121166
Precision?
0.35789473684210527
Recall?
1.0
Freqs
test
numberfreq
067
1189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms362×1valid
11.0ms150×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-cos: 16.0ms (32.5% of total)
ival-sin: 12.0ms (24.4% of total)
adjust: 6.0ms (12.2% of total)
ival-mult: 6.0ms (12.2% of total)
ival-add: 5.0ms (10.2% of total)
ival-div: 4.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess107.0ms (0.9%)

Memory
7.3MiB live, 44.5MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
4.4MiB live, 4.4MiB 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

localize60.0ms (0.5%)

Memory
-14.3MiB live, 69.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 b)
accuracy0.21875
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy0.2265625
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy13.986671149636688
(cos.f64 (+.f64 a b))
Samples
35.0ms181×1valid
6.0ms75×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 11.0ms (36.4% of total)
ival-cos: 8.0ms (26.5% of total)
ival-add: 3.0ms (9.9% of total)
adjust: 3.0ms (9.9% of total)
ival-mult: 3.0ms (9.9% of total)
ival-div: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB 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
a
@inf
(* r (/ (sin b) (cos (+ a b))))

simplify252.0ms (2.1%)

Memory
3.9MiB live, 309.6MiB 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))

rewrite393.0ms (3.2%)

Memory
26.3MiB live, 458.6MiB 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))))
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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) (-.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) (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))))

eval143.0ms (1.2%)

Memory
-29.6MiB live, 57.3MiB allocated
Compiler

Compiled 4 900 to 750 computations (84.7% saved)

prune71.0ms (0.6%)

Memory
5.1MiB live, 163.2MiB allocated
Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New21936255
Fresh000
Picked101
Done000
Total22036256
Accuracy
99.8%
Counts
256 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
78.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
▶77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
▶78.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
77.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
78.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
38.3%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
77.6%
(*.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)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
▶99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.7%
(*.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)))))))))
77.9%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
77.9%
(*.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))))))
45.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
49.1%
(*.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)))))
▶49.1%
(*.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)))))
62.1%
(*.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)))))
62.0%
(*.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)))))
62.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
49.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
64.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
52.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
47.4%
(*.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))))
47.2%
(*.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))))
47.2%
(*.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))))
78.0%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
78.0%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
60.2%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (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)))))
47.9%
(*.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)))))
47.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
35.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
64.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
47.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.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)))))
▶47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 1 412 to 848 computations (39.9% saved)

simplify326.0ms (2.7%)

Memory
-2.0MiB live, 224.7MiB 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 (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
cost-diff0
(*.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)))))
cost-diff6080
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff320
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
cost-diff6016
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
4 984×lower-fma.f32
4 980×lower-fma.f64
2 780×lower-*.f32
2 766×lower-*.f64
2 400×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036267
062259
1100259
2170259
3323259
4602259
51004255
61700255
72595255
83684255
94726255
105398255
115878255
125997255
136979255
147531255
157717255
167887255
177887255
187887255
197887255
08836255
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#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 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.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)))))
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))))
(sin.f64 b)
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)))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)
Outputs
(*.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 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.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)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (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 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.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 (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 b (sin.f64 a))))))
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 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 b (sin.f64 a))))))
(sin.f64 b)
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)))
#s(approx (cos (+ a b)) (fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 b (sin.f64 a)))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 b (sin.f64 a))))
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))
(-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a))
(*.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)
a
#s(literal -1/2 binary64)
(sin.f64 a)

localize271.0ms (2.2%)

Memory
3.8MiB live, 440.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
accuracy0.21875
(/.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))))
accuracy0.2265625
(*.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)))))
accuracy33.12430816238952
#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)))
accuracy0.17578125
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.2421875
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
accuracy13.986671149636694
(cos.f64 (+.f64 b a))
accuracy0
(sin.f64 b)
accuracy0.17578125
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.2421875
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy13.986671149636694
(cos.f64 (+.f64 b a))
accuracy0
(cos.f64 a)
accuracy0.09375
(*.f64 b (/.f64 r (cos.f64 a)))
accuracy0.09765625
(/.f64 r (cos.f64 a))
accuracy33.353251867978365
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
accuracy0.11033883046286384
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy0.21875
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
accuracy0.21875
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.2265625
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
Samples
204.0ms181×1valid
19.0ms75×0valid
Compiler

Compiled 224 to 35 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-cos: 58.0ms (33.9% of total)
ival-mult: 43.0ms (25.1% of total)
ival-div: 30.0ms (17.5% of total)
ival-sin: 19.0ms (11.1% of total)
adjust: 10.0ms (5.8% of total)
ival-add: 8.0ms (4.7% of total)
ival-sub: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.5%)

Memory
6.5MiB live, 118.4MiB allocated
Counts
20 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 a) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 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 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.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))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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) #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))))) (patch (*.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))))) #<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) #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))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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) #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))))) (patch (*.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))))) #<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) #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))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.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)))) (patch (/.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)))) #<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) #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)))) (patch (/.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)))) #<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) #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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.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)))) (patch (/.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)))) #<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) #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)))) (patch (/.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)))) #<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) #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)))) (patch (/.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)))) #<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) #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)))) (patch (/.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)))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.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)))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.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)))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.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)))) #<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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* b (sin a)) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (sin b)) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 b) (taylor 0 a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) (taylor 0 a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) (taylor 0 a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) (taylor 0 a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
Calls

132 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
(* b (/ r (cos a)))
4.0ms
b
@-inf
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))
2.0ms
b
@inf
(/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
2.0ms
r
@0
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))
1.0ms
a
@inf
(/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))

simplify411.0ms (3.4%)

Memory
-28.9MiB live, 463.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 920×lower-*.f64
7 920×lower-*.f32
7 460×lower-fma.f64
7 460×lower-fma.f32
2 380×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04436629
114196375
247016295
083806059
Stop Event
1×iter limit
1×node limit
Counts
528 → 519
Calls
Call 1
Inputs
(/ 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 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
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(/ (* 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 (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin 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 (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
Outputs
(/ 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 b (*.f64 b (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 (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 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.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)))) (neg.f64 b) (-.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 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.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 (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* 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 b (/.f64 (*.f64 (sin.f64 a) r) (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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 a) r) (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 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #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 -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)))) (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
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(+ (/ (* 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 a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r)) (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 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 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)))
(fma.f64 a (fma.f64 a (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r)) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (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 b (*.f64 b (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 (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 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.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)))) (neg.f64 b) (-.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 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.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 (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.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 (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (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))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* a (sin b))
(*.f64 a (sin.f64 b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.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 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (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 (-.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (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))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (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 (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (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 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(fma.f64 (*.f64 a a) (*.f64 b (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/1440 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))

rewrite312.0ms (2.6%)

Memory
6.6MiB live, 365.5MiB allocated
Rules
4 348×lower-/.f32
4 336×lower-/.f64
4 252×lower-fma.f32
4 248×lower-fma.f64
4 006×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036198
062169
1216169
21374169
08624169
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 969
Calls
Call 1
Inputs
(/.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) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(*.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 (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 (sin.f64 b) (sin.f64 a))
#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 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #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 #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))) #s(literal 1 binary64))
(/.f64 (neg.f64 #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)))) #s(literal -1 binary64))
#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 #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))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #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 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64))
(*.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))

eval297.0ms (2.4%)

Memory
15.1MiB live, 500.5MiB allocated
Compiler

Compiled 43 424 to 3 290 computations (92.4% saved)

prune588.0ms (4.8%)

Memory
0.2MiB live, 895.1MiB allocated
Pruning

78 alts after pruning (76 fresh and 2 done)

PrunedKeptTotal
New1 889641 953
Fresh191231
Picked325
Done000
Total1 911781 989
Accuracy
100.0%
Counts
1 989 → 78
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
78.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
77.9%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
77.9%
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
78.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.1%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (neg.f64 (sin.f64 b))))
▶77.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
25.7%
(*.f64 (/.f64 r (fma.f64 (pow.f64 (neg.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 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
55.5%
(*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
88.7%
(*.f64 (/.f64 r (fma.f64 (neg.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 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
88.6%
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.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 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
89.6%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
89.6%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
71.3%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
45.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
47.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (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)))
47.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
62.3%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
62.4%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
62.0%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
62.0%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
49.9%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
64.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
64.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
52.2%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
77.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
78.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
77.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
48.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
38.3%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
55.3%
(*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
77.6%
(*.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)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
▶99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
88.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) b)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
✓99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
52.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
62.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
65.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
62.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
▶62.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
65.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.8%
(*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
77.9%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
62.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
49.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
64.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
52.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
48.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
34.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
33.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (neg.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
47.4%
(*.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))))
47.2%
(*.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))))
48.1%
(*.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 (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
49.0%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) #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)))))))
78.0%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
78.0%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
47.8%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
35.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
▶64.1%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
48.0%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
99.4%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
47.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
47.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
✓47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
33.3%
#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))))))
33.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
33.2%
#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))))))
32.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
27.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
27.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
29.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
▶34.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 3 223 to 1 952 computations (39.4% saved)

simplify304.0ms (2.5%)

Memory
-11.1MiB live, 220.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff320
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
cost-diff6016
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 b))
cost-diff576
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
cost-diff832
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
cost-diff0
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
cost-diff0
(*.f64 b r)
cost-diff0
#s(approx (* b (/ r (cos a))) (*.f64 b r))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
cost-diff0
(sin.f64 b)
cost-diff320
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
cost-diff6016
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
2 424×lower-fma.f32
2 418×lower-fma.f64
2 128×lower-*.f32
2 114×lower-*.f64
1 992×lower-/.f32
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
049308
079284
1134283
2245283
3534283
41344283
53049283
64427283
75029283
85249283
95276283
105296283
115500275
126312275
136601275
146740275
156813275
166861275
176889275
186905275
196913275
206917275
217222275
227775275
08169275
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 a))
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
(*.f64 b r)
b
r
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(cos.f64 b)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(sin.f64 b)
b
(/.f64 (cos.f64 (+.f64 b a)) r)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
#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)
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 r (fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 (neg.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (sin.f64 (neg.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(cos.f64 a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 a))
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 b r)
(*.f64 r b)
b
r
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
b
r
(cos.f64 b)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(sin.f64 b)
b
(/.f64 (cos.f64 (+.f64 b a)) r)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 r (fma.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (cos.f64 b) (sin.f64 b)) (sin.f64 (neg.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (cos.f64 b) (sin.f64 b)) (sin.f64 (neg.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
#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)
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)

localize265.0ms (2.2%)

Memory
17.7MiB live, 422.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
accuracy0.21875
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.2265625
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
accuracy28.053652870127078
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0.1484375
(/.f64 (cos.f64 (+.f64 b a)) r)
accuracy0.29296875
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
accuracy0.6621407953718809
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
accuracy13.986671149636688
(cos.f64 (+.f64 b a))
accuracy0
(cos.f64 b)
accuracy0.1328125
(*.f64 (sin.f64 b) r)
accuracy0.1484375
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
accuracy22.858904728800844
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
accuracy0
(*.f64 b r)
accuracy21.462969997924834
#s(approx (* b (/ r (cos a))) (*.f64 b r))
accuracy33.353251867978365
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
accuracy0.140625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
accuracy0.21875
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
accuracy0.21875
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.2265625
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
Samples
184.0ms181×1valid
25.0ms75×0valid
Compiler

Compiled 266 to 46 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
adjust: 42.0ms (24.7% of total)
ival-cos: 42.0ms (24.7% of total)
ival-div: 28.0ms (16.5% of total)
ival-mult: 26.0ms (15.3% of total)
ival-sin: 22.0ms (12.9% of total)
ival-add: 9.0ms (5.3% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
-3.9MiB live, 111.6MiB allocated
Counts
21 → 540
Calls
Call 1
Inputs
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) #<representation binary64>) () ())
#s(alt #s(approx (* b (/ r (cos a))) (*.f64 b r)) (patch #s(approx (* b (/ r (cos a))) (*.f64 b r)) #<representation binary64>) () ())
#s(alt (*.f64 b r) (patch (*.f64 b r) #<representation binary64>) () ())
#s(alt #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (patch #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<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 (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<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>) () ())
Outputs
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
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#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (cos (+ a b)) r) (taylor inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) r) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) r) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) r) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) r) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor 0 r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor 0 r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor 0 r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor 0 r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) r) (patch (/.f64 (cos.f64 (+.f64 b a)) r) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#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 (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#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 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#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 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) (taylor 0 a) (#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 (cos a) (taylor inf a) (#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 (cos a) (taylor inf a) (#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 (cos a) (taylor inf a) (#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 (cos a) (taylor inf a) (#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 (cos a) (taylor -inf a) (#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 (cos a) (taylor -inf a) (#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 (cos a) (taylor -inf a) (#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 (cos a) (taylor -inf a) (#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>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
10.0ms
b
@0
(/ (* (sin b) r) (cos b))
1.0ms
r
@0
(/ (* (sin b) r) (cos b))
1.0ms
b
@-inf
(* (/ -1 (sin b)) (/ (cos (+ b a)) r))
1.0ms
b
@inf
(* (/ -1 (sin b)) (/ (cos (+ b a)) r))
1.0ms
a
@-inf
(* (/ -1 (sin b)) (/ (cos (+ b a)) r))

simplify313.0ms (2.6%)

Memory
-21.4MiB live, 427.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 468×lower-*.f64
7 468×lower-*.f32
6 946×lower-fma.f64
6 946×lower-fma.f32
2 262×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04636901
114816657
247866592
081856378
Stop Event
1×iter limit
1×node limit
Counts
540 → 539
Calls
Call 1
Inputs
(/ 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 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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)
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (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))
(/ (* 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 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)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos 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))
(* 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) (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))))
(/ (* 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)))
(* -1 (/ (cos a) (* b r)))
(/ (+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r)) b)
(/ (+ (* -1 (/ (cos a) r)) (* b (+ (* -1 (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (/ (sin a) r)))) b)
(/ (+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (sin a) r)))) b)
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (- a (* -1 b))) (* r (sin b))))
(* -1 (/ (cos (- a (* -1 b))) (* r (sin b))))
(* -1 (/ (cos (- a (* -1 b))) (* r (sin b))))
(* -1 (/ (cos (- a (* -1 b))) (* r (sin b))))
(* -1 (/ (cos b) (* r (sin b))))
(+ (* -1 (/ (cos b) (* r (sin b)))) (/ a r))
(+ (* -1 (/ (cos b) (* r (sin b)))) (* a (+ (* 1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))))
(+ (* -1 (/ (cos b) (* r (sin b)))) (* a (+ (* a (+ (* -1/6 (/ a r)) (* 1/2 (/ (cos b) (* r (sin b)))))) (/ 1 r))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (- b (* -1 a))) (* r (sin b))))
(* -1 (/ (cos (- b (* -1 a))) (* r (sin b))))
(* -1 (/ (cos (- b (* -1 a))) (* r (sin b))))
(* -1 (/ (cos (- b (* -1 a))) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(* -1 (/ (cos (+ a b)) (* r (sin b))))
(/ -1 b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin 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 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin 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) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin 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 a) r)
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r))
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r))
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r))
(/ (cos (+ a b)) r)
(/ (cos (+ a b)) r)
(/ (cos (+ a b)) r)
(/ (cos (+ a b)) r)
(/ (cos (- a (* -1 b))) r)
(/ (cos (- a (* -1 b))) r)
(/ (cos (- a (* -1 b))) r)
(/ (cos (- a (* -1 b))) r)
(/ (cos b) r)
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r))
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r))
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r))
(/ (cos (+ a b)) r)
(/ (cos (+ a b)) r)
(/ (cos (+ a b)) r)
(/ (cos (+ a b)) r)
(/ (cos (- b (* -1 a))) r)
(/ (cos (- b (* -1 a))) r)
(/ (cos (- b (* -1 a))) r)
(/ (cos (- b (* -1 a))) 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
(+ 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)
Outputs
(/ 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 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.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)))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (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 (-.f64 (*.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (sin.f64 b)) (cos.f64 b))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* a (sin b))
(*.f64 a (sin.f64 b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
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 b (*.f64 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 b (*.f64 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 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 (*.f64 b (sin.f64 a)) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 a))) (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 a (sin.f64 b)))
(+ (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 (-.f64 (*.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (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) r)
(/.f64 (cos.f64 a) r)
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r))
(fma.f64 b (neg.f64 (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) r))
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r))
(fma.f64 b (fma.f64 b (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) r) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r))
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r))
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) (/.f64 #s(literal -1/2 binary64) r) (/.f64 (*.f64 (*.f64 b (sin.f64 a)) #s(literal 1/6 binary64)) r)) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r))
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- a (* -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- a (* -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- a (* -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- a (* -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos b) r)
(/.f64 (cos.f64 b) r)
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r))
(-.f64 (/.f64 (cos.f64 b) r) (*.f64 a (/.f64 (sin.f64 b) r)))
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r))
(fma.f64 a (-.f64 (/.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) r) (/.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) r))
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (/.f64 (sin.f64 b) r)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) r)) (neg.f64 (/.f64 (sin.f64 b) r))) (/.f64 (cos.f64 b) r))
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- b (* -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- b (* -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- b (* -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (- b (* -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
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 a (*.f64 a (fma.f64 (*.f64 a 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)

rewrite299.0ms (2.5%)

Memory
15.7MiB live, 445.6MiB allocated
Rules
4 716×lower-*.f32
4 702×lower-*.f64
4 448×lower-/.f32
4 432×lower-/.f64
4 424×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049227
079193
1280192
21764186
08234186
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 972
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
(*.f64 b r)
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) r)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) (sin.f64 a))
(cos.f64 b)
(cos.f64 (+.f64 b a))
(/.f64 (cos.f64 (+.f64 b a)) r)
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (neg.f64 (neg.f64 (neg.f64 r))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) (neg.f64 r))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.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 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) r)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) r))) (neg.f64 (fma.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 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) r))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) (fma.f64 (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)) (*.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r))))))
(pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 b a))))
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) r) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r))
(*.f64 (pow.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) #s(literal -1 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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (pow.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) r))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) r) (/.f64 (/.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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) r))
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) r) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.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 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) r) (/.f64 (cos.f64 (+.f64 b a)) (fma.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 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (fma.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 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (-.f64 b a))))
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))

eval247.0ms (2%)

Memory
17.6MiB live, 368.5MiB allocated
Compiler

Compiled 41 249 to 3 964 computations (90.4% saved)

prune489.0ms (4%)

Memory
0.1MiB live, 806.8MiB allocated
Pruning

80 alts after pruning (75 fresh and 5 done)

PrunedKeptTotal
New1 715341 749
Fresh304171
Picked235
Done022
Total1 747801 827
Accuracy
100.0%
Counts
1 827 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
78.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
77.9%
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
78.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.1%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (neg.f64 (sin.f64 b))))
77.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (/.f64 (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) r)))
51.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)))
98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (-.f64 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) r) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)))))
98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)))))
77.2%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
▶47.6%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
50.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) (neg.f64 r))) b)))
48.4%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 (cos.f64 a) (/.f64 b r)) #s(literal 1/3 binary64) (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)))
60.3%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))))
25.7%
(*.f64 (/.f64 r (fma.f64 (pow.f64 (neg.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 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
55.5%
(*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
88.7%
(*.f64 (/.f64 r (fma.f64 (neg.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 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
88.6%
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.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 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
62.1%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
71.3%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
45.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
47.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
62.4%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
64.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
64.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
52.2%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
78.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
77.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
77.9%
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) r)))
48.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
77.6%
(*.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)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
✓99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
88.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) b)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
✓99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
62.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
62.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
65.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (cos a))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
60.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 b))))))))
62.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
53.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
▶77.9%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
62.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
52.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
48.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
47.2%
(*.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))))
48.1%
(*.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 (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
78.0%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
78.0%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
47.8%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
35.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
▶47.9%
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
64.1%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)))
41.0%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) r) (cos.f64 b)))
✓64.1%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
39.0%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos b) #s(literal 1 binary64))))
64.0%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
63.7%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
64.1%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
64.2%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
28.3%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))))
33.5%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
33.5%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
33.6%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
▶99.4%
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
47.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
✓47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
33.3%
#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))))))
33.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
33.2%
#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))))))
27.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
▶27.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
29.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
✓34.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 3 185 to 1 968 computations (38.2% saved)

simplify196.0ms (1.6%)

Memory
-0.1MiB live, 281.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b r)
cost-diff0
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
cost-diff0
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
cost-diff6464
(fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
cost-diff0
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
cost-diff0
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
cost-diff0
(*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r))
cost-diff576
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
cost-diff0
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
cost-diff0
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
cost-diff0
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Rules
5 830×lower-fma.f32
5 824×lower-fma.f64
3 898×lower-*.f32
3 876×lower-*.f64
1 438×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067393
0104376
1187374
2326372
3649369
41542368
52968368
64062368
76955368
08082365
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
b
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
#s(literal 1/2 binary64)
(*.f64 r (*.f64 a a))
r
(*.f64 a a)
a
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
#s(literal -1 binary64)
(*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r))
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64))
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 (cos.f64 (+.f64 b a)) r)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
r
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
b
(fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(*.f64 b r)
r
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r)))
b
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
#s(approx (/ r (cos a)) (fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
(fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r)
#s(literal 1/2 binary64)
(*.f64 r (*.f64 a a))
r
(*.f64 a a)
a
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (neg.f64 (cos.f64 (+.f64 b a)))))
#s(literal -1 binary64)
(*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r))
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64))
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 (cos.f64 (+.f64 b a)) r)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 b a))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (fma.f64 (sin.f64 a) (*.f64 b (/.f64 b (cos.f64 a))) b)) (cos.f64 a)))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (fma.f64 (sin.f64 a) (*.f64 b (/.f64 b (cos.f64 a))) b)) (cos.f64 a))
b
(fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(/.f64 (fma.f64 (/.f64 r (cos.f64 a)) (*.f64 b (sin.f64 a)) r) (cos.f64 a))
(*.f64 b r)
(*.f64 r b)
r
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))

localize309.0ms (2.5%)

Memory
-18.1MiB live, 582.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
accuracy0.22169877930532603
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy2.6612378635167113
(fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
accuracy33.24973388416216
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
accuracy0.21875
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
accuracy0.2265625
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
accuracy0.2421875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
accuracy13.986671149636694
(cos.f64 (+.f64 b a))
accuracy0.6621407953718809
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
accuracy13.986671149636694
(cos.f64 (+.f64 b a))
accuracy16.686507922269623
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
accuracy32.59441422844428
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
accuracy0.09375
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
accuracy6.764977194882157
(*.f64 r (*.f64 a a))
accuracy27.983712374439218
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
accuracy33.353251867978365
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
accuracy0.12408152965131286
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy0.1328125
(*.f64 (sin.f64 b) r)
accuracy0.21875
(*.f64 (sin.f64 a) (sin.f64 b))
accuracy0.24675751953688402
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
Samples
206.0ms181×1valid
29.0ms75×0valid
Compiler

Compiled 304 to 57 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-mult: 60.0ms (30.9% of total)
ival-cos: 38.0ms (19.5% of total)
ival-div: 31.0ms (15.9% of total)
ival-add: 22.0ms (11.3% of total)
ival-sin: 17.0ms (8.7% of total)
adjust: 13.0ms (6.7% of total)
const: 6.0ms (3.1% of total)
ival-pow2: 4.0ms (2.1% of total)
ival-sub: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
22.5MiB live, 100.5MiB allocated
Counts
24 → 648
Calls
Call 1
Inputs
#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<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 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))) (patch (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))) #<representation binary64>) () ())
#s(alt #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)) (patch #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r))) (patch (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)) (patch (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (patch #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) (patch (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (patch (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 b r) (patch (*.f64 b r) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 a) (sin.f64 b)) (patch (*.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.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) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (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 #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (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 #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* b (* r (sin a))) (pow (cos a) 2)) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2)))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) (taylor -inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) (taylor -inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) (taylor -inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))) (taylor -inf r) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt r (taylor 0 a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ r (* a (* b r))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ r (* a (+ (* 1/2 (* a r)) (* b r)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (patch (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<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 (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<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 (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<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 #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<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 #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) (patch #s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) (taylor inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) (taylor inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2)) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2)))) (taylor -inf b) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))) (taylor 0 r) (#s(alt (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) (patch (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 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 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b 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 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b 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 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow a 2))) (taylor 0 a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) (taylor 0 a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) (taylor 0 a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

162 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))
1.0ms
a
@inf
(+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))
1.0ms
r
@0
(+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))
1.0ms
b
@0
(+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))
1.0ms
r
@0
(+ (* 1/2 (* r (* a a))) r)

simplify252.0ms (2.1%)

Memory
3.5MiB live, 279.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 866×lower-fma.f64
7 866×lower-fma.f32
7 664×lower-*.f64
7 664×lower-*.f32
1 820×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04778140
115557902
251077830
081057537
Stop Event
1×iter limit
1×node limit
Counts
648 → 644
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
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(/ (* 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))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(/ (* b (* r (sin a))) (pow (cos a) 2))
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(/ (* b (* r (sin a))) (pow (cos a) 2))
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
r
(+ r (* a (* b r)))
(+ r (* a (+ (* 1/2 (* a r)) (* b r))))
(+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(/ (* 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))))
(/ (* 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 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* b r)
(+ (* a (* (pow b 2) r)) (* b r))
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* 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)
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin 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) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(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)))
1
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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 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 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 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 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 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 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 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 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 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 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 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 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.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)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.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 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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 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 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 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 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
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(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a a))
(* (pow a 2) r)
(*.f64 r (*.f64 a 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 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (sin.f64 a)) (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 (-.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (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))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow a 2)))
(-.f64 #s(literal 1 binary64) (*.f64 a a))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))

rewrite411.0ms (3.4%)

Memory
12.7MiB live, 369.3MiB allocated
Rules
5 016×lower-fma.f32
5 010×lower-fma.f64
4 718×lower-*.f32
4 696×lower-*.f64
4 596×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067311
0104266
1391261
22628255
09048255
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 014
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r))
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(*.f64 b r)
(*.f64 (sin.f64 a) (sin.f64 b))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 r (*.f64 a a))
(cos.f64 (+.f64 b a))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.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) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (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) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 r (sin.f64 b)))))
(/.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 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.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 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.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) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) r)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(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 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (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 r #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.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 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.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 #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (neg.f64 r))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) r)
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (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 b) (sin.f64 a)) #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 a 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 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))))
(*.f64 (/.f64 r (+.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 (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 a 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 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (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)))) (/.f64 r (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))))
(*.f64 (/.f64 (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)))) (/.f64 r (/.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 #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 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (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 a 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 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
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(*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 a)))
(*.f64 (neg.f64 (cos.f64 a)) (/.f64 (neg.f64 (cos.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 a) #s(literal -1 binary64)) (neg.f64 (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 (cos.f64 a) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cos.f64 a) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (cos.f64 a)) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (/.f64 (sqrt.f64 (cos.f64 a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 a)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 a)) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (cos.f64 a)) (pow.f64 (cos.f64 a) #s(literal -1/2 binary64))))

eval465.0ms (3.8%)

Memory
16.7MiB live, 403.7MiB allocated
Compiler

Compiled 48 486 to 3 750 computations (92.3% saved)

prune966.0ms (8%)

Memory
-12.3MiB live, 679.1MiB allocated
Pruning

94 alts after pruning (88 fresh and 6 done)

PrunedKeptTotal
New1 862281 890
Fresh106070
Picked415
Done055
Total1 876941 970
Accuracy
100.0%
Counts
1 970 → 94
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
78.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
77.9%
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
78.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.1%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (neg.f64 (sin.f64 b))))
77.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (/.f64 (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) r)))
51.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)))
98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (-.f64 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) r) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)))))
98.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)))))
77.2%
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
48.2%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) r)))
46.5%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) b) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) b))) (/.f64 (cos.f64 (+.f64 b a)) r)))
46.6%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) (/.f64 (-.f64 (*.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 (cos.f64 (+.f64 b a)) r)))
4.8%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64)))) (/.f64 (cos.f64 (+.f64 b a)) r)))
50.2%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (fma.f64 (sin.f64 a) (/.f64 b r) (neg.f64 (/.f64 (cos.f64 a) r))) b)))
48.4%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 (cos.f64 a) (/.f64 b r)) #s(literal 1/3 binary64) (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)))
60.3%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))))
25.7%
(*.f64 (/.f64 r (fma.f64 (pow.f64 (neg.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 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
55.5%
(*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
88.7%
(*.f64 (/.f64 r (fma.f64 (neg.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 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
88.6%
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.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 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
62.1%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
71.3%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
45.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
47.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
62.4%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
64.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
64.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
52.2%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
78.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
77.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
77.9%
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
48.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
77.6%
(*.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)))))))
✓99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
88.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) b)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
✓99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
62.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
65.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (cos a))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
60.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 b))))))))
62.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
53.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1/2 binary64))))
52.2%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))))
62.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (/ 1 (cos (+ b a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
48.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
47.2%
(*.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))))
47.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
48.1%
(*.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 (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
78.0%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
78.0%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
47.8%
(*.f64 r #s(approx (/ (sin b) (/ 1 (/ 1 (cos (+ b a))))) (/.f64 b (cos.f64 a))))
35.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
47.9%
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 (fma.f64 (*.f64 b (/.f64 r (cos.f64 a))) (tan.f64 a) (/.f64 r (cos.f64 a))) b))
47.3%
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
30.8%
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
27.6%
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
31.7%
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
31.1%
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
64.1%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)))
41.0%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) r) (cos.f64 b)))
✓64.1%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
39.0%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos b) #s(literal 1 binary64))))
64.0%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
63.7%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
64.1%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
64.2%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
28.3%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))))
33.5%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
33.5%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
33.6%
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
99.4%
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
51.5%
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓99.4%
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
62.7%
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
52.2%
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a))))
47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
47.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
✓47.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
33.3%
#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))))))
33.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
33.2%
#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))))))
27.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
27.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
20.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
20.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
9.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
29.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
✓34.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 4 920 to 1 810 computations (63.2% saved)

regimes294.0ms (2.4%)

Memory
-16.0MiB live, 465.5MiB allocated
Counts
163 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#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 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 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) (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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#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 b r) (cos.f64 a)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos b) #s(literal 1 binary64))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (/ 1 (/ 1 (cos (+ b a))))) (/.f64 b (cos.f64 a))))
#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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (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 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 (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (neg.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64)))) (/.f64 (cos.f64 (+.f64 b a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.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 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (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)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) (/.f64 (-.f64 (*.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 (cos.f64 (+.f64 b a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) b) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) b))) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (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 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) (neg.f64 r))) b)))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (fma.f64 (sin.f64 a) (/.f64 b r) (neg.f64 (/.f64 (cos.f64 a) r))) b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))))
(*.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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (/ 1 (cos (+ b a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 (fma.f64 (*.f64 b (/.f64 r (cos.f64 a))) (tan.f64 a) (/.f64 r (cos.f64 a))) b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 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 (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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 b))))))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) r)))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 (cos.f64 a) (/.f64 b r)) #s(literal 1/3 binary64) (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (cos a))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
(*.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 #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.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)))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.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 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) r) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(*.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) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1/2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.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 (sin.f64 b) (fma.f64 (cos.f64 b) #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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) #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)))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) r)) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (-.f64 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) r) (*.f64 (sin.f64 b) (/.f64 (sin.f64 a) r)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (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)))))
(*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (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) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) b)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 (/.f64 r (fma.f64 (neg.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 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (/.f64 (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) r)))
(*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (pow.f64 (neg.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 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 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 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b))
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.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 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
Calls

5 calls:

102.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
49.0ms
r
47.0ms
b
46.0ms
a
43.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes215.0ms (1.8%)

Memory
10.0MiB live, 406.2MiB allocated
Counts
144 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
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(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (cos a))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
(*.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 #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.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)))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.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 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) r) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(*.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) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1/2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.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 (sin.f64 b) (fma.f64 (cos.f64 b) #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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) #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)))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Calls

5 calls:

43.0ms
a
43.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
42.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
41.0ms
b
40.0ms
r
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes213.0ms (1.8%)

Memory
2.8MiB live, 477.3MiB allocated
Counts
140 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#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 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 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) (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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#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 b r) (cos.f64 a)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos b) #s(literal 1 binary64))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (/ 1 (/ 1 (cos (+ b a))))) (/.f64 b (cos.f64 a))))
#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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (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 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 (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (neg.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64)))) (/.f64 (cos.f64 (+.f64 b a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.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 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (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)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) (/.f64 (-.f64 (*.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 (cos.f64 (+.f64 b a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) b) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))) b))) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (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 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) (neg.f64 r))) b)))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (fma.f64 (sin.f64 a) (/.f64 b r) (neg.f64 (/.f64 (cos.f64 a) r))) b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))))
(*.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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (/ 1 (cos (+ b a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 (fma.f64 (*.f64 b (/.f64 r (cos.f64 a))) (tan.f64 a) (/.f64 r (cos.f64 a))) b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 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 (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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 b))))))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) r)))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 (sin b)) (/ (cos (+ b a)) r)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 (cos.f64 a) (/.f64 b r)) #s(literal 1/3 binary64) (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (cos a))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
(*.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 #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.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)))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.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 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) r) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin a) (sin b)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(*.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) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) #s(literal -1/2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.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 (sin.f64 b) (fma.f64 (cos.f64 b) #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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (/ 1 (/ 1 (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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) #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)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

43.0ms
a
41.0ms
b
41.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
40.0ms
r
39.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
78.0%1a
78.0%1r
78.0%1b
78.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
78.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes87.0ms (0.7%)

Memory
-13.6MiB live, 232.4MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#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 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 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) (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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#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 b r) (cos.f64 a)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos b) #s(literal 1 binary64))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (/ 1 (/ 1 (cos (+ b a))))) (/.f64 b (cos.f64 a))))
#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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (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 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 (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (neg.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64)))) (/.f64 (cos.f64 (+.f64 b a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.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 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (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)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin b)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b) (/.f64 (-.f64 (*.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 (cos.f64 (+.f64 b a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (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))
Outputs
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
Calls

5 calls:

17.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
17.0ms
a
17.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
16.0ms
r
16.0ms
b
Results
AccuracySegmentsBranch
77.9%3b
64.2%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
65.8%2r
77.9%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
77.8%3a
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes24.0ms (0.2%)

Memory
-5.5MiB live, 72.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#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 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 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) (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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#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 b r) (cos.f64 a)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos b) #s(literal 1 binary64))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (/ 1 (/ 1 (cos (+ b a))))) (/.f64 b (cos.f64 a))))
#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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (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 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 (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (neg.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
Outputs
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 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))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
Calls

2 calls:

11.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms
b
Results
AccuracySegmentsBranch
77.9%3b
77.9%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes23.0ms (0.2%)

Memory
12.6MiB live, 54.6MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#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 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 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) (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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#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 b r) (cos.f64 a)))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos b) #s(literal 1 binary64))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (/ 1 (/ 1 (cos a)))) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (/ 1 (/ 1 (cos (+ b a))))) (/.f64 b (cos.f64 a))))
#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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
Outputs
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
Calls

2 calls:

11.0ms
b
10.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
77.9%3b
77.9%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes31.0ms (0.3%)

Memory
22.7MiB live, 101.0MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#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 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 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) (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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
Outputs
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
Calls

4 calls:

8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms
a
7.0ms
r
7.0ms
b
Results
AccuracySegmentsBranch
64.2%1r
64.2%1a
64.2%1b
64.2%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes37.0ms (0.3%)

Memory
-12.2MiB live, 108.0MiB allocated
Accuracy

Total -17.3b remaining (-40.8%)

Threshold costs -17.3b (-40.8%)

Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 a (*.f64 b b) b))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 r a) a) r))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) (*.f64 b #s(approx (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#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 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64) (*.f64 r #s(literal 1/2 binary64)))) r))))
#s(approx (/ -1 (* (/ -1 (sin b)) (/ (cos (+ b a)) r))) #s(approx (* b (+ (* (* b r) (/ (sin a) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 a (*.f64 (*.f64 r b) #s(literal 1/2 binary64)) (*.f64 r (*.f64 b b))) (*.f64 r b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 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) (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 (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (*.f64 (neg.f64 r) r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 a (neg.f64 (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 b r) #s(literal -5/48 binary64) (*.f64 (*.f64 b r) #s(literal 7/360 binary64))) a) a (*.f64 b (*.f64 r #s(literal -5/24 binary64)))))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b r) #s(literal 5/24 binary64))) (*.f64 b (*.f64 #s(literal 1/2 binary64) r))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 (*.f64 r b) #s(literal 7/360 binary64) (*.f64 (*.f64 r b) #s(literal -5/48 binary64))) (*.f64 a (neg.f64 a)) (*.f64 b (*.f64 r #s(literal 5/24 binary64)))) (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) #s(approx (/ (* (sin b) r) (cos b)) (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))) (fma.f64 #s(literal -1/720 binary64) r (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) r (*.f64 r #s(literal -1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64))) r))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Calls

5 calls:

8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
a
7.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
6.0ms
b
6.0ms
r
Results
AccuracySegmentsBranch
34.0%1r
34.0%1a
34.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
34.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
34.0%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0001236841502101593
0.052077643323995185
0.0ms
-0.04311001008355164
-2.785948103287518e-17
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0001236841502101593
0.052077643323995185
0.0ms
-0.04311001008355164
-2.785948103287518e-17
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0001236841502101593
0.052077643323995185
0.0ms
-0.04311001008355164
-2.785948103287518e-17
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.1%)

Memory
-10.1MiB live, 29.5MiB allocated
Algorithm
1×egg-herbie
Rules
32×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079321
1108321
2117321
3122321
4124321
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7378697629483821/36893488147419103232 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)))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 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 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (/ 1 (sin b))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7378697629483821/36893488147419103232 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)))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 7378697629483821/36893488147419103232 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)))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))))
#s(approx (* (/ r (cos (+ b a))) (/ 1 (/ 1 (sin b)))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

soundness698.0ms (5.8%)

Memory
0.8MiB live, 686.7MiB allocated
Rules
9 408×lower-fma.f64
9 408×lower-fma.f32
7 920×lower-*.f64
7 920×lower-*.f32
7 460×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
0822
01322
14422
223422
3198522
01021222
04436629
114196375
247016295
083806059
049227
079193
1280192
21764186
08234186
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
Compiler

Compiled 525 to 258 computations (50.9% saved)

preprocess98.0ms (0.8%)

Memory
-10.4MiB live, 189.6MiB allocated
Remove

(negabs r)

Compiler

Compiled 544 to 204 computations (62.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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