rsin A (should all be same)

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze455.0ms (5.5%)

Memory
6.3MiB live, 380.1MiB allocated; 115ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.9s (23.2%)

Memory
38.3MiB live, 1 734.2MiB allocated; 403ms collecting garbage
Samples
1.3s5 972×1valid
281.0ms2 284×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 352.0ms (33.2% of total)
ival-cos: 271.0ms (25.5% of total)
adjust: 161.0ms (15.2% of total)
ival-div: 120.0ms (11.3% of total)
ival-add: 81.0ms (7.6% of total)
ival-mult: 65.0ms (6.1% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain564.0ms (6.9%)

Memory
-17.2MiB live, 253.0MiB allocated; 698ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
67118(3.1604470900211172e+258 2.0301944983977264e+81 -2.720420594525589e-21)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1850
Confusion
Predicted +Predicted -
+670
-11871
Precision
0.3621621621621622
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-118071
Precision?
0.3621621621621622
Recall?
1.0
Freqs
test
numberfreq
071
1185
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
310.0ms148×0valid
102.0ms364×1valid
Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 390.0ms
ival-sin: 351.0ms (90% of total)
ival-cos: 16.0ms (4.1% of total)
adjust: 10.0ms (2.6% of total)
ival-add: 5.0ms (1.3% of total)
ival-div: 4.0ms (1% of total)
ival-mult: 4.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess198.0ms (2.4%)

Memory
-8.2MiB live, 183.8MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03790
110188
225088
357288
4101088
5203488
6432388
089
0139
1249
2429
3659
4839
51079
62059
77999
852909
082779
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify168.0ms (2%)

Memory
19.2MiB live, 125.7MiB allocated; 29ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
01325
12425
24225
36525
48325
510725
620525
779925
8529025
0827725
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a

localize52.0ms (0.6%)

Memory
-23.2MiB live, 66.1MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 b)
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy13.660495727558546
(cos.f64 (+.f64 a b))
Samples
40.0ms182×1valid
5.0ms74×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-cos: 12.0ms (35.3% of total)
adjust: 9.0ms (26.5% of total)
ival-sin: 6.0ms (17.7% of total)
ival-add: 3.0ms (8.8% of total)
ival-div: 2.0ms (5.9% of total)
ival-mult: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Counts
4 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
Calls

9 calls:

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

simplify157.0ms (1.9%)

Memory
-1.2MiB live, 144.7MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199798
1602767
22117723
37917723
08011689
Stop Event
1×iter limit
1×node limit
Counts
32 → 32
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) r)) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a (*.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a)) a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))))) b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) (*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* r (sin b)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) b)
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64))) b))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (sin b) (sin.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))

rewrite103.0ms (1.3%)

Memory
-26.2MiB live, 72.0MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14619
226619
0289219
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 73
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r)
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r))
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(*.f64 (sin.f64 b) r)
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b))))
(*.f64 r (sin.f64 b))
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))
(sin.f64 b)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))

eval12.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 160 to 413 computations (80.9% saved)

prune21.0ms (0.3%)

Memory
-20.0MiB live, 26.2MiB allocated; 5ms collecting garbage
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New7922101
Fresh000
Picked011
Done000
Total7923102
Accuracy
99.8%
Counts
102 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
43.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
▶43.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓78.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
▶59.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
60.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
▶62.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
58.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
54.5%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
55.0%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
54.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
80.1%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
78.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
78.5%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
78.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
62.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
Compiler

Compiled 837 to 586 computations (30% saved)

simplify161.0ms (2%)

Memory
28.0MiB live, 173.2MiB allocated; 12ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff1
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff4
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff0
#s(approx (cos (+ a b)) (cos.f64 b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037247
063237
1110237
2193237
3351237
4754237
51924237
64319237
77862237
08107236
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (cos.f64 b))
(cos.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
#s(literal -1/2 binary64)
(cos.f64 b)
a
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (cos.f64 b))
(cos.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 a b))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (+.f64 a b)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
#s(literal -1/2 binary64)
(cos.f64 b)
a

localize227.0ms (2.8%)

Memory
-9.8MiB live, 181.9MiB allocated; 45ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.09765625
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
accuracy31.301210525278265
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
accuracy0.0078125
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy41.00081082581461
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy0.0
(cos.f64 b)
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
accuracy29.063673081506877
#s(approx (cos (+ a b)) (cos.f64 b))
accuracy0.0
(cos.f64 a)
accuracy0.1015625
(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy0.12109375
(/.f64 r (cos.f64 a))
accuracy28.796348882900904
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy0.08984375
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.12948126923805559
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
153.0ms183×1valid
20.0ms73×0valid
Compiler

Compiled 211 to 33 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-sin: 44.0ms (33% of total)
ival-cos: 25.0ms (18.7% of total)
ival-mult: 17.0ms (12.7% of total)
adjust: 16.0ms (12% of total)
ival-add: 12.0ms (9% of total)
ival-div: 12.0ms (9% of total)
ival-neg: 3.0ms (2.2% of total)
ival-pi: 2.0ms (1.5% of total)
ival-sub: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series86.0ms (1%)

Memory
17.4MiB live, 60.4MiB allocated; 8ms collecting garbage
Counts
18 → 116
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
#s(approx (cos (+ a b)) (cos.f64 b))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (* -1/2 (* a (cos b)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (* -1/2 a)))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
Calls

9 calls:

TimeVariablePointExpression
41.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos b) (* (* -1/2 (cos b)) a))
8.0ms
a
@0
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos b) (* (* -1/2 (cos b)) a))
6.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos b) (* (* -1/2 (cos b)) a))
5.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos b) (* (* -1/2 (cos b)) a))
5.0ms
a
@inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos b) (* (* -1/2 (cos b)) a))

simplify164.0ms (2%)

Memory
7.0MiB live, 194.5MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05873316
117873170
266983152
080933027
Stop Event
1×iter limit
1×node limit
Counts
116 → 116
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (* -1/2 (* a (cos b)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (* -1/2 a)))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ r (cos a)) b) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (neg.f64 a) a) (*.f64 #s(literal -5/24 binary64) (*.f64 b r)))) (*.f64 a a) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 (neg.f64 r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) r) (pow.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal 3 binary64)))) (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) r) (pow.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal 3 binary64)))) (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) (fma.f64 r (*.f64 (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) r) (pow.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal 3 binary64))))) a (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (* -1/2 (* a (cos b)))))
#s(approx (* (* -1/2 (cos b)) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (cos (+ a b)) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal 1 binary64)) a))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (cos (+ a b)) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* r (sin b)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) b)
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) b)) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b r)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64))))) b (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) r)) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) r) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64))))) (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 3 binary64)))))) b (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) r)) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (* -1/2 a)))
#s(approx (* (* -1/2 (cos b)) a) (*.f64 #s(literal -1/2 binary64) a))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))))
#s(approx (* (* -1/2 (cos b)) a) (fma.f64 (*.f64 (*.f64 b b) a) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))))
#s(approx (* (* -1/2 (cos b)) a) (fma.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 b b) a) (*.f64 #s(literal 1/4 binary64) a)) b) b (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (* -1/2 (cos b)) a) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))))
#s(approx (* (* -1/2 (cos b)) a) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 b b) a) (*.f64 #s(literal -1/48 binary64) a)) b) b (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal 1 binary64)) b))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (cos b) (cos.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (cos (+ a b)) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))

rewrite62.0ms (0.8%)

Memory
6.0MiB live, 51.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037165
063169
1216141
01539141
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 200
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
#s(approx (cos (+ a b)) (cos.f64 b))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (neg.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(sin.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (neg.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a)))
(/.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a)))
(/.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 a))))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a)))
(/.f64 r (cos.f64 a))
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 a)))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b)))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 #s(approx (cos (+ a b)) (cos.f64 b)))))
#s(approx (cos (+ a b)) (cos.f64 b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (neg.f64 (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(sin.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (neg.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 a b)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 a b)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64)) (-.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 a)) (neg.f64 b))
(+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64)))))
(+.f64 (neg.f64 a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b)))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) r)
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (-.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))
(*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a))
(*.f64 (cos.f64 b) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))

eval111.0ms (1.3%)

Memory
-24.8MiB live, 118.6MiB allocated; 27ms collecting garbage
Compiler

Compiled 9 193 to 1 315 computations (85.7% saved)

prune106.0ms (1.3%)

Memory
-20.2MiB live, 124.8MiB allocated; 17ms collecting garbage
Pruning

58 alts after pruning (53 fresh and 5 done)

PrunedKeptTotal
New30145346
Fresh9817
Picked145
Done011
Total31158369
Accuracy
99.8%
Counts
369 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
60.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
56.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a))))
63.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
▶99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
66.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))))
43.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
43.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
20.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
19.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
✓78.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
▶60.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
58.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
✓59.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
41.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
✓62.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
39.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
42.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
39.5%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
54.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
▶55.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
55.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
38.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
80.1%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
78.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
78.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
62.2%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
78.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
62.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
39.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
▶40.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
✓54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
38.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
37.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
38.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
30.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
30.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
▶38.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
32.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
Compiler

Compiled 2 826 to 1 849 computations (34.6% saved)

simplify178.0ms (2.2%)

Memory
46.0MiB live, 175.1MiB allocated; 19ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
cost-diff0
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
cost-diff0
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff2
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
cost-diff0
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
cost-diff0
(/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
cost-diff0
(*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
cost-diff4
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
cost-diff0
#s(approx (/ r (cos a)) r)
cost-diff0
(*.f64 #s(approx (/ r (cos a)) r) b)
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052334
086318
1165318
2367318
31064315
43765315
57693315
08187312
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 #s(approx (/ r (cos a)) r) b)
#s(approx (/ r (cos a)) r)
r
b
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)
(/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
r
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
a
(cos.f64 b)
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
r
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 b b)
b
#s(literal -1/6 binary64)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 b)
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 #s(approx (/ r (cos a)) r) b)
#s(approx (/ r (cos a)) r)
r
b
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(/.f64 r (cos.f64 a))
r
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
(cos.f64 a)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
a
(cos.f64 b)
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b))
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r)
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r)
r
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 b b)
b
#s(literal -1/6 binary64)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 b)
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)

localize297.0ms (3.6%)

Memory
-32.3MiB live, 337.6MiB allocated; 56ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.24609375
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
accuracy0.25545932914268876
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
accuracy4.863455054804686
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
accuracy28.400772035322753
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
accuracy0.046875
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
accuracy30.744097919762762
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
accuracy0.1015625
(*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)
accuracy0.12109375
(/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
accuracy26.82969543340636
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
accuracy28.796348882900904
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
accuracy0.1015625
(*.f64 #s(approx (/ r (cos a)) r) b)
accuracy28.440233133749935
#s(approx (/ r (cos a)) r)
accuracy28.796348882900904
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.13414003907376806
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy0.22103500976844204
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Samples
236.0ms183×1valid
26.0ms73×0valid
Compiler

Compiled 277 to 43 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 209.0ms
const: 35.0ms (16.8% of total)
ival-sin: 33.0ms (15.8% of total)
ival-div: 31.0ms (14.9% of total)
ival-mult: 28.0ms (13.4% of total)
ival-cos: 25.0ms (12% of total)
adjust: 21.0ms (10.1% of total)
ival-add: 14.0ms (6.7% of total)
ival-pi: 14.0ms (6.7% of total)
ival-neg: 8.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series79.0ms (1%)

Memory
-9.8MiB live, 86.2MiB allocated; 16ms collecting garbage
Counts
21 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 #s(approx (/ r (cos a)) r) b)
#s(approx (/ r (cos a)) r)
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)
(/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* r (- (* 1/120 (pow b 2)) 1/6))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* -1 (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole 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)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* -1/2 (* a (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* a (cos (* 1/2 (PI))))))))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (* 1/2 (PI))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* -1 (/ (* a (* b (* r (cos (* 1/2 (PI)))))) (pow (sin (* 1/2 (PI))) 2))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (* 1/2 (PI))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* -1 (/ (* a (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI)))))))) (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI)))))))) (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (cos b)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 a)))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) (* -1 a))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (- (* 1/2 (PI)) (* -1 a))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 r))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (+ r (* -1/6 (* (pow b 2) r)))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 1))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* -1/6 r)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* 1/120 (* (pow b 5) r))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* 1/120 (* (pow b 4) r))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* 1/120 (* (pow b 2) r))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
r
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (sin (+ (/ (PI) 2) a)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (sin (+ (/ (PI) 2) a))) b) (/ r (sin (+ (/ (PI) 2) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (* (neg (sin b)) (sin a)) (+ (* (neg a) (sin b)) (cos b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
14.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (sin (+ (/ (PI) 2) a)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (sin (+ (/ (PI) 2) a))) b) (/ r (sin (+ (/ (PI) 2) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (* (neg (sin b)) (sin a)) (+ (* (neg a) (sin b)) (cos b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
9.0ms
b
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (sin (+ (/ (PI) 2) a)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (sin (+ (/ (PI) 2) a))) b) (/ r (sin (+ (/ (PI) 2) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (* (neg (sin b)) (sin a)) (+ (* (neg a) (sin b)) (cos b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
8.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (sin (+ (/ (PI) 2) a)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (sin (+ (/ (PI) 2) a))) b) (/ r (sin (+ (/ (PI) 2) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (* (neg (sin b)) (sin a)) (+ (* (neg a) (sin b)) (cos b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
5.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (sin (+ (/ (PI) 2) a)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (sin (+ (/ (PI) 2) a))) b) (/ r (sin (+ (/ (PI) 2) a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (* (neg (sin b)) (sin a)) (+ (* (neg a) (sin b)) (cos b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))

simplify235.0ms (2.9%)

Memory
21.1MiB live, 211.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05734003
117583869
270313794
083233595
Stop Event
1×iter limit
1×node limit
Counts
130 → 130
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* r (- (* 1/120 (pow b 2)) 1/6))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* -1 (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole 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)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* -1/2 (* a (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* a (cos (* 1/2 (PI))))))))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (* 1/2 (PI))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* -1 (/ (* a (* b (* r (cos (* 1/2 (PI)))))) (pow (sin (* 1/2 (PI))) 2))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (* 1/2 (PI))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* -1 (/ (* a (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI)))))))) (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI)))))))) (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (cos b)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 a)))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) (* -1 a))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (- (* 1/2 (PI)) (* -1 a))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* 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))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 r))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (+ r (* -1/6 (* (pow b 2) r)))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 1))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* -1/6 r)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* 1/120 (* (pow b 5) r))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* 1/120 (* (pow b 4) r))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* 1/120 (* (pow b 2) r))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ r (cos a)) b) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* (/ r (cos a)) b) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ r (cos a)) (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) r))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) r))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* r (- (* 1/120 (pow b 2)) 1/6))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (*.f64 (neg.f64 b) r) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* -1 (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1)))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (*.f64 (neg.f64 r) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (neg.f64 a) a) (*.f64 #s(literal -5/24 binary64) (*.f64 b r)))) (*.f64 a a) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 b r)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 (neg.f64 r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) a)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) a (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* -1/2 (* a (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) a)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) a (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ (PI) 2) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* a (cos (* 1/2 (PI))))))))))))
#s(approx (sin (+ (/ (PI) 2) a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) a (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) a (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (/ (* b r) (sin (* 1/2 (PI))))))
#s(approx (* (/ r (cos a)) b) (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* -1 (/ (* a (* b (* r (cos (* 1/2 (PI)))))) (pow (sin (* 1/2 (PI))) 2))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (* (/ r (cos a)) b) (/.f64 (fma.f64 b r (/.f64 (*.f64 (neg.f64 a) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 b r))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) r) b) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))))) a (*.f64 (neg.f64 b) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) r))) a (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (/ r (sin (+ (/ (PI) 2) a))) b) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 b r)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) r) b) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) r) b) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))))) a (*.f64 (neg.f64 b) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) r))) a (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (/ r (sin (* 1/2 (PI))))))
#s(approx (/ r (cos a)) (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* -1 (/ (* a (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ r (cos a)) (/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a r) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI)))))))) (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) (*.f64 (neg.f64 r) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) a (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ r (sin (+ (/ (PI) 2) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* r (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ r (sin (* 1/2 (PI)))))))) (/ (* r (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) (/ r (sin (* 1/2 (PI)))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) r) (/.f64 (*.f64 (fma.f64 (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (fma.f64 (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))))) a (*.f64 (neg.f64 r) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) a (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole 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)))))
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#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
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#s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
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#s(approx (* (/ r (cos a)) b) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
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#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) b)
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
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#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)))) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 b r))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) r))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 r))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) r)
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (+ r (* -1/6 (* (pow b 2) r)))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) r))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 1))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* -1/6 r)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 #s(literal -1/6 binary64) r))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (+ (* 1/120 (* b b)) -1/6) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (sin b) (sin.f64 b))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* 1/120 (* (pow b 5) r))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) r) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) r)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) r (/.f64 r (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* 1/120 (* (pow b 4) r))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) r) #s(literal 1/120 binary64)))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) r))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) #s(hole binary64 (* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (*.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) r (/.f64 r (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* 1/120 (* (pow b 2) r))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (*.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) r)) b) b))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* 1/120 (* b b)) -1/6) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/120 (* b b)) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) b) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (fma.f64 (/.f64 r (*.f64 b b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) r))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 r b) (neg.f64 (fma.f64 #s(literal 1/120 binary64) r (/.f64 r (pow.f64 b #s(literal 4 binary64))))))))

rewrite151.0ms (1.8%)

Memory
-4.9MiB live, 194.2MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052259
086243
1300208
22097208
08039208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 308
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 #s(approx (/ r (cos a)) r) b)
#s(approx (/ r (cos a)) r)
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b)
(/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(neg.f64 (neg.f64 (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))
(fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
(sin.f64 (neg.f64 (neg.f64 b)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)))
(sin.f64 b)
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64))) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (neg.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
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(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a)))
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(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 b) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 b) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 b) (PI.f64)) (+.f64 (PI.f64) a))) (cos.f64 (+.f64 (+.f64 (neg.f64 b) (PI.f64)) (+.f64 (PI.f64) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 b) (PI.f64)) (neg.f64 a))) (cos.f64 (+.f64 (+.f64 (neg.f64 b) (PI.f64)) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (+.f64 (PI.f64) a))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (+.f64 (PI.f64) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (neg.f64 a))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a (+.f64 (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (cos.f64 (+.f64 (+.f64 (PI.f64) b) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 (-.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b)))
(/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (cos.f64 b) (-.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(fma.f64 a (neg.f64 (sin.f64 b)) (cos.f64 b))
(fma.f64 (sin.f64 b) (neg.f64 a) (cos.f64 b))
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b))) (/.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b))))
(-.f64 (cos.f64 b) (*.f64 (neg.f64 (neg.f64 a)) (sin.f64 b)))
(-.f64 (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 a)))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b))
(+.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r)
(*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) r) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/216 binary64)) r) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))
(/.f64 (*.f64 r (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 r (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r)) (*.f64 (*.f64 #s(literal -1/6 binary64) r) (*.f64 #s(literal -1/6 binary64) r))) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 #s(literal -1/6 binary64) r)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) r) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) r) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 #s(literal -1/6 binary64) r)))))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/120 binary64) b)) b (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 r (*.f64 b b)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 #s(literal 1/120 binary64) b) (*.f64 b r) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 #s(literal -1/6 binary64) r (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 1/120 binary64) r) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 r #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r))
(-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 #s(literal 1/6 binary64) r))
(-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 (neg.f64 r) #s(literal -1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) r) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r))
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 #s(literal -1/6 binary64) r))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (fabs.f64 b)) (fabs.f64 b) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 b)) (neg.f64 b) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
(fma.f64 b (*.f64 #s(literal 1/120 binary64) b) #s(literal -1/6 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) b)) b))
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1/120 binary64)))
(-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))) (/.f64 #s(literal -1/216 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))

eval87.0ms (1.1%)

Memory
1.6MiB live, 93.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 15 839 to 2 222 computations (86% saved)

prune116.0ms (1.4%)

Memory
4.7MiB live, 145.8MiB allocated; 22ms collecting garbage
Pruning

66 alts after pruning (58 fresh and 8 done)

PrunedKeptTotal
New47216488
Fresh64248
Picked145
Done145
Total48066546
Accuracy
99.9%
Counts
546 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (*.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
49.7%
(/.f64 (*.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
60.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
56.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a))))
63.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))) (sin.f64 a))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))) (sin.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))
69.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
66.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
▶99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))))
43.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
43.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
20.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
19.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
✓78.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
✓60.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
58.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
39.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
13.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
42.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
41.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
✓62.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
39.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
39.5%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
54.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
▶55.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
✓55.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
55.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
55.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
▶38.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
80.1%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
78.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
62.2%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
54.6%
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
54.6%
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
78.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
62.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
39.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
▶55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
✓54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
40.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
38.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
37.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
38.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
30.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
30.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
✓38.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
▶32.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
Compiler

Compiled 3 266 to 2 166 computations (33.7% saved)

simplify144.0ms (1.7%)

Memory
-28.7MiB live, 155.6MiB allocated; 25ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
cost-diff0
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
cost-diff0
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff3
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
cost-diff0
(fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)
cost-diff0
(/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a))
cost-diff0
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b)
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
cost-diff0
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)
cost-diff0
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
cost-diff0
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
cost-diff0
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
cost-diff0
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055424
096417
1188417
2469415
31504415
45253415
08319415
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
(*.f64 b r)
b
r
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
b
#s(literal -1/6 binary64)
#s(literal 1 binary64)
r
#s(approx (cos (+ a b)) (cos.f64 b))
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b)
(/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a))
(fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)
(*.f64 (sin.f64 a) b)
(sin.f64 a)
a
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
r
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 b b)
b
#s(literal -1/6 binary64)
(fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(+.f64 (neg.f64 b) (PI.f64))
(neg.f64 b)
(PI.f64)
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
(*.f64 b r)
b
r
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))
(*.f64 b b)
b
#s(literal -1/6 binary64)
#s(literal 1 binary64)
r
#s(approx (cos (+ a b)) (cos.f64 b))
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) (*.f64 (sin.f64 a) b) r)))
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) (*.f64 (sin.f64 a) b) r))
(/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a))
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 r (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)
(fma.f64 (/.f64 r (cos.f64 a)) (*.f64 (sin.f64 a) b) r)
(*.f64 (sin.f64 a) b)
(sin.f64 a)
a
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r)
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r)
r
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 b b)
b
#s(literal -1/6 binary64)
(fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(sin.f64 b)
(+.f64 (neg.f64 b) (PI.f64))
(fma.f64 #s(literal -1 binary64) b (PI.f64))
(neg.f64 b)
(PI.f64)
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)

localize452.0ms (5.5%)

Memory
-9.1MiB live, 521.4MiB allocated; 71ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25545932914268876
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
accuracy4.863455054804686
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
accuracy28.400772035322753
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
accuracy60.54117698145312
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
accuracy0.11328125
(*.f64 (sin.f64 a) b)
accuracy0.12109375
(/.f64 r (cos.f64 a))
accuracy0.13671875
(/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a))
accuracy28.70920953934523
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
accuracy0.24609375
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
accuracy4.935407672888809
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
accuracy28.493914010628504
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
accuracy29.063673081506877
#s(approx (cos (+ a b)) (cos.f64 b))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) a)
accuracy6.030841658762841
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
accuracy26.97997005402884
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
accuracy28.796348882900904
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
accuracy0.08984375
(*.f64 r (sin.f64 b))
accuracy0.12550501178494128
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy0.22103500976844204
(*.f64 (sin.f64 a) (sin.f64 b))
accuracy0.24609375
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Samples
252.0ms202×1valid
102.0ms53×2valid
0.0ms1×0valid
Compiler

Compiled 337 to 52 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-sin: 62.0ms (23.1% of total)
adjust: 51.0ms (19% of total)
ival-mult: 50.0ms (18.6% of total)
ival-cos: 33.0ms (12.3% of total)
const: 32.0ms (11.9% of total)
ival-add: 18.0ms (6.7% of total)
ival-div: 14.0ms (5.2% of total)
ival-neg: 3.0ms (1.1% of total)
ival-pi: 2.0ms (0.7% of total)
ival-sub: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series151.0ms (1.8%)

Memory
50.2MiB live, 139.2MiB allocated; 11ms collecting garbage
Counts
27 → 163
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b)
(/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a))
(fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 #s(literal 1/2 binary64) a)
#s(approx (cos (+ a b)) (cos.f64 b))
(/.f64 r (cos.f64 a))
(*.f64 (sin.f64 a) b)
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* b (* r (+ 1 (* 1/2 (pow a 2)))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* b (* r (+ 1 (* -1/6 (pow b 2)))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* r (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (* r (+ 1 (/ (* b (sin a)) (cos a)))) (cos a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* r (+ 1 (/ (* b (sin a)) (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin (- (PI) b)))) (* (cos a) (cos b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* r (- (* 1/120 (pow b 2)) 1/6))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) (cos a)))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* -1 (/ (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1)) (cos a)))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole 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)))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (+ (* a (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 r))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 r))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (+ (* b r) (* (pow a 2) (- (* -1/6 (* b r)) (* -1/2 (* b r)))))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (+ (* b r) (* (pow a 2) (- (+ (* -1/6 (* b r)) (* (pow a 2) (- (* 1/120 (* b r)) (+ (* -1/2 (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r)))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin (- (PI) b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (* (sin a) b) #s(hole binary64 (* a b)))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* -1/6 (* (pow a 2) b))))))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* 1/2 (* (pow a 2) (* b r)))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (+ r (/ (* b (* r (sin a))) (cos a))) (cos a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (/ (* b (* r (sin a))) (cos a)))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (* (sin a) b) #s(hole binary64 (* b (sin a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* b r)))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 r))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (+ r (* -1/6 (* (pow b 2) r)))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (PI))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (+ (sin (PI)) (* -1 (* b (cos (PI)))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* -1/2 (* b (sin (PI)))))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* b (+ (* -1/2 (sin (PI))) (* 1/6 (* b (cos (PI)))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (* (cos (PI)) (sin a)))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))) (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))) (+ (* -1 (/ (* r (* (pow (cos (PI)) 2) (pow (sin a) 2))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))))) (/ (* r (* (cos (PI)) (sin a))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2)))) (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (cos (PI)) (* (sin a) (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (+ (* -1/6 (/ (* r (* (cos (PI)) (sin a))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))) (/ (* (cos (PI)) (* (sin a) (- (* -1/6 (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))) (+ (* -1 (/ (* r (* (pow (cos (PI)) 2) (pow (sin a) 2))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2)))))) (+ (cos a) (* -1 (* (sin a) (sin (PI)))))))))) (* -1/6 (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI)))))))) (+ (* -1 (/ (* r (* (pow (cos (PI)) 2) (pow (sin a) 2))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))))) (/ (* r (* (cos (PI)) (sin a))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2)))) (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* -1/6 r)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* -1/6 (* (pow b 3) r))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* -1/6 (* (pow b 2) r))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (/ (* b (* r (sin a))) (cos a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* b (+ (/ r b) (/ (* r (sin a)) (cos a))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (- (PI) b))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* 1/120 (* (pow b 5) r))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* 1/120 (* (pow b 2) r))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r b)) (* -1 (/ (* r (sin a)) (cos a))))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (+ (PI) (* -1 b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin (+ (PI) (* -1 b))))) (* (cos a) (cos b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
Calls

9 calls:

TimeVariablePointExpression
57.0ms
a
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* (* b b) -1/6) 1) r) b) (* (+ (* (* b b) -1/6) 1) r) (/ (* r (sin b)) (cos (+ a b))) (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r) (sin (+ (neg b) (PI))) (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (* (sin a) (sin b)) (* 1/2 a) (cos (+ a b)) (/ r (cos a)) (* (sin a) b) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
27.0ms
a
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* (* b b) -1/6) 1) r) b) (* (+ (* (* b b) -1/6) 1) r) (/ (* r (sin b)) (cos (+ a b))) (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r) (sin (+ (neg b) (PI))) (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (* (sin a) (sin b)) (* 1/2 a) (cos (+ a b)) (/ r (cos a)) (* (sin a) b) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
11.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* (* b b) -1/6) 1) r) b) (* (+ (* (* b b) -1/6) 1) r) (/ (* r (sin b)) (cos (+ a b))) (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r) (sin (+ (neg b) (PI))) (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (* (sin a) (sin b)) (* 1/2 a) (cos (+ a b)) (/ r (cos a)) (* (sin a) b) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
11.0ms
r
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* (* b b) -1/6) 1) r) b) (* (+ (* (* b b) -1/6) 1) r) (/ (* r (sin b)) (cos (+ a b))) (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r) (sin (+ (neg b) (PI))) (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (* (sin a) (sin b)) (* 1/2 a) (cos (+ a b)) (/ r (cos a)) (* (sin a) b) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))
9.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (* (+ (* (* b b) -1/6) 1) r) b) (* (+ (* (* b b) -1/6) 1) r) (/ (* r (sin b)) (cos (+ a b))) (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (+ (* (* (sin a) b) (/ r (cos a))) r) (sin (+ (neg b) (PI))) (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (* (sin a) (sin b)) (* 1/2 a) (cos (+ a b)) (/ r (cos a)) (* (sin a) b) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6))

simplify163.0ms (2%)

Memory
-34.2MiB live, 198.2MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07354651
122624346
087454087
Stop Event
1×iter limit
1×node limit
Counts
163 → 163
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* b (* r (+ 1 (* 1/2 (pow a 2)))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* b (* r (+ 1 (* -1/6 (pow b 2)))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* r (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (* r (+ 1 (/ (* b (sin a)) (cos a)))) (cos a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* r (+ 1 (/ (* b (sin a)) (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin (- (PI) b)))) (* (cos a) (cos b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* r (- (* 1/120 (pow b 2)) 1/6))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) (cos a)))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* -1 (/ (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1)) (cos a)))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole 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)))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (+ (* a (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 r))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 r))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (+ (* b r) (* (pow a 2) (- (* -1/6 (* b r)) (* -1/2 (* b r)))))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (+ (* b r) (* (pow a 2) (- (+ (* -1/6 (* b r)) (* (pow a 2) (- (* 1/120 (* b r)) (+ (* -1/2 (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r)))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin (- (PI) b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (* (sin a) b) #s(hole binary64 (* a b)))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* -1/6 (* (pow a 2) b))))))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* 1/2 (* (pow a 2) (* b r)))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (+ r (/ (* b (* r (sin a))) (cos a))) (cos a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (/ (* b (* r (sin a))) (cos a)))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (* (sin a) b) #s(hole binary64 (* b (sin a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* 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))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* 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))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* b r)))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 r))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (+ r (* -1/6 (* (pow b 2) r)))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (PI))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (+ (sin (PI)) (* -1 (* b (cos (PI)))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* -1/2 (* b (sin (PI)))))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* b (+ (* -1/2 (sin (PI))) (* 1/6 (* b (cos (PI)))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (* (cos (PI)) (sin a)))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))) (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))) (+ (* -1 (/ (* r (* (pow (cos (PI)) 2) (pow (sin a) 2))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))))) (/ (* r (* (cos (PI)) (sin a))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2)))) (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (cos (PI)) (* (sin a) (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (+ (* -1/6 (/ (* r (* (cos (PI)) (sin a))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))) (/ (* (cos (PI)) (* (sin a) (- (* -1/6 (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))) (+ (* -1 (/ (* r (* (pow (cos (PI)) 2) (pow (sin a) 2))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2)))))) (+ (cos a) (* -1 (* (sin a) (sin (PI)))))))))) (* -1/6 (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI)))))))) (+ (* -1 (/ (* r (* (pow (cos (PI)) 2) (pow (sin a) 2))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* 1/2 (* (sin a) (sin (PI)))))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2))))) (/ (* r (* (cos (PI)) (sin a))) (pow (+ (cos a) (* -1 (* (sin a) (sin (PI))))) 2)))) (/ r (+ (cos a) (* -1 (* (sin a) (sin (PI))))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* -1/6 r)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* -1/6 (* (pow b 3) r))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* -1/6 (* (pow b 2) r))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (/ (* b (* r (sin a))) (cos a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* b (+ (/ r b) (/ (* r (sin a)) (cos a))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (- (PI) b))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* 1/120 (* (pow b 5) r))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* 1/120 (* (pow b 2) r))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r b)) (* -1 (/ (* r (sin a)) (cos a))))))))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (+ (PI) (* -1 b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin (+ (PI) (* -1 b))))) (* (cos a) (cos b))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ r (cos a)) b) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* b (* r (+ 1 (* 1/2 (pow a 2)))))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))) r))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* b (* r (+ 1 (* -1/6 (pow b 2)))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) r))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* r (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b (* r (+ 1 (/ (* b (sin a)) (cos a))))) (cos a))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 (fma.f64 (sin.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) r) (/.f64 b (cos.f64 a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (* r (+ 1 (/ (* b (sin a)) (cos a)))) (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (/.f64 (fma.f64 (sin.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) r) (cos.f64 a)))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* r (+ 1 (/ (* b (sin a)) (cos a))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (fma.f64 (sin.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin (- (PI) b)))) (* (cos a) (cos b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) r))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* r (- (* 1/120 (pow b 2)) 1/6))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* -1 (/ (* b (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1))) (cos a)))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (/.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64)) (*.f64 b r)) (neg.f64 (cos.f64 a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* -1 (/ (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1)) (cos a)))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (/.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64)) r) (neg.f64 (cos.f64 a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (cos a))) 1)))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (neg.f64 r) (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (*.f64 (neg.f64 b) r) (fma.f64 (*.f64 (neg.f64 b) b) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))) r))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) #s(hole binary64 (+ (* 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)))))))
#s(approx (* (/ r (cos a)) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r)))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* b r)))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 b r))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))) r))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 a) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (+ (* (* 1/2 a) a) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* b r)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 b r))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (+ (* a (+ (* a (- (* a (- (* b (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* -1/2 (* (pow b 2) r)))) (* -1/2 (* b r)))) (* (pow b 2) r))) (* b r))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b r) #s(literal 1/3 binary64)) b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r))) a (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 r))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) r)
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) a r))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b r) #s(literal 5/6 binary64)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 b r)) a r))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 r))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) r)
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (fma.f64 (*.f64 b r) a r))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (+ (* b r) (* (pow a 2) (- (* -1/6 (* b r)) (* -1/2 (* b r)))))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b r) #s(literal 1/3 binary64)) a) a (*.f64 b r)) a r))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (* a (+ (* b r) (* (pow a 2) (- (+ (* -1/6 (* b r)) (* (pow a 2) (- (* 1/120 (* b r)) (+ (* -1/2 (- (* -1/6 (* b r)) (* -1/2 (* b r)))) (* 1/24 (* b r)))))) (* -1/2 (* b r)))))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b r)) (fma.f64 #s(literal 1/24 binary64) (*.f64 b r) (*.f64 #s(literal -1/6 binary64) (*.f64 b r)))) (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 1/3 binary64))) (*.f64 a a) (*.f64 b r)) a r))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin (- (PI) b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (- (PI) b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) (sin.f64 b))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (* 1/2 a) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 (neg.f64 r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (* (sin a) b) #s(hole binary64 (* a b)))
#s(approx (* (sin a) b) (*.f64 a b))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* -1/6 (* (pow a 2) b))))))
#s(approx (* (sin a) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) b) a))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))))
#s(approx (* (sin a) b) (*.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 a a) b) a))
#s(approx (* (sin a) b) #s(hole binary64 (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))))
#s(approx (* (sin a) b) (*.f64 (fma.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) b)) (*.f64 a a) b) a))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* 1/2 (* (pow a 2) (* b r)))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))))
#s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 r a) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a)))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 a) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))))
#s(approx (+ (* (* 1/2 a) a) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* b (+ r (/ (* b (* r (sin a))) (cos a)))) (cos a))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 (fma.f64 (sin.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) r) (/.f64 b (cos.f64 a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (+ r (/ (* b (* r (sin a))) (cos a))) (cos a))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (/.f64 (fma.f64 (sin.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) r) (cos.f64 a)))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (+ r (/ (* b (* r (sin a))) (cos a)))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (fma.f64 (sin.f64 a) (*.f64 (/.f64 r (cos.f64 a)) b) r))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (* (sin a) b) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) b) (*.f64 (sin.f64 a) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* b r) (cos a))))
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#s(approx (* (+ (* (* b b) -1/6) 1) r) r)
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#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (PI))))
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#s(approx (sin (+ (neg b) (PI))) b)
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#s(approx (sin (+ (neg b) (PI))) b)
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#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b))
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#s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b))
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#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))
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#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* -1/6 r)))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 #s(literal -1/6 binary64) r))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (- (* 1/120 (pow b 2)) 1/6)))
#s(approx (+ (* 1/120 (* b b)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (sin (+ (neg b) (PI))) (sin.f64 b))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* -1/6 (* (pow b 3) r))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) r))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* -1/6 (* (pow b 2) r))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b))
#s(approx (* (+ (* (* b b) -1/6) 1) r) #s(hole binary64 (* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) b) b))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))))
#s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) (*.f64 b b)))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (/ (* b (* r (sin a))) (pow (cos a) 2))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (*.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) b))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (/ (* b (* r (sin a))) (cos a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (*.f64 (sin.f64 a) r) (/.f64 b (cos.f64 a))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* b (+ (/ r b) (/ (* r (sin a)) (cos a))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) b))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (- (PI) b))))
#s(approx (sin (+ (neg b) (PI))) (sin.f64 b))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* 1/120 (* (pow b 5) r))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) r) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) r)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) r (/.f64 r (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* 1/120 (* (pow b 2) r))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b r)) b))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) #s(hole binary64 (* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))))
#s(approx (* r (+ (* 1/120 (* b b)) -1/6)) (*.f64 (*.f64 (fma.f64 (/.f64 r (*.f64 b b)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) r)) b) b))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* 1/120 (* b b)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 b b)))
#s(approx (+ (* 1/120 (* b b)) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/120 (* b b)) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) b) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 r))))))
#s(approx (* (* (+ (* (* b b) -1/6) 1) r) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) r (/.f64 (neg.f64 r) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))))
#s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 r (cos.f64 a)) b)) b))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r b)) (* -1 (/ (* r (sin a)) (cos a))))))))
#s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) b))
#s(approx (sin (+ (neg b) (PI))) #s(hole binary64 (sin (+ (PI) (* -1 b)))))
#s(approx (sin (+ (neg b) (PI))) (sin.f64 b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ (neg b) (PI))) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin (+ (PI) (* -1 b))))) (* (cos a) (cos b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (fma.f64 #s(literal -1/120 binary64) r (*.f64 (/.f64 r (*.f64 b b)) #s(literal 1/6 binary64)))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) #s(hole binary64 (* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))))
#s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 r b) (fma.f64 #s(literal -1/120 binary64) r (/.f64 (neg.f64 r) (pow.f64 b #s(literal 4 binary64)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))

rewrite170.0ms (2.1%)

Memory
2.0MiB live, 253.1MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055324
096308
1337308
22443299
08192299
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 339
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
#s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b)
(/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a))
(fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r)
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 #s(literal 1/2 binary64) a)
#s(approx (cos (+ a b)) (cos.f64 b))
(/.f64 r (cos.f64 a))
(*.f64 (sin.f64 a) b)
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 (neg.f64 a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (neg.f64 (sin.f64 (-.f64 (neg.f64 a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 (neg.f64 a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (-.f64 (neg.f64 a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
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#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)
(*.f64 b (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 r) r)) b) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) r))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 r #s(literal 3 binary64))) b) (fma.f64 r (-.f64 r (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 b (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 r) r))) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) r))
(/.f64 (*.f64 b (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 r (-.f64 r (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b (*.f64 b r))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b r))
(fma.f64 b r (*.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b))
(fma.f64 b r (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))))
(fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b))
(fma.f64 r b (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b) (*.f64 b r))
(+.f64 (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))) (*.f64 b r))
(+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b))
(+.f64 (*.f64 b r) (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))
#s(approx (cos (+ a b)) (cos.f64 b))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 a))))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a)))
(/.f64 r (cos.f64 a))
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 a)))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))
(*.f64 (sin.f64 a) b)
(*.f64 b (sin.f64 a))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r)
(*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/36 binary64)) r) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1/216 binary64)) r) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 r (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 r (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) r) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r) (*.f64 #s(literal -1/6 binary64) r)))
(/.f64 (fma.f64 (pow.f64 (*.f64 r #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 r #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) r) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r) (*.f64 #s(literal -1/6 binary64) r)))))
(fma.f64 (*.f64 r (*.f64 #s(literal 1/120 binary64) b)) b (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 r (*.f64 b b)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 #s(literal 1/120 binary64) b) (*.f64 b r) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 #s(literal -1/6 binary64) r (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 1/120 binary64) r) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 r (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) (*.f64 #s(literal -1/6 binary64) r))
(fma.f64 r #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r))
(-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r) (*.f64 #s(literal 1/6 binary64) r))
(-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r) (*.f64 (neg.f64 r) #s(literal -1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) r) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r))
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) r) (*.f64 #s(literal -1/6 binary64) r))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (fabs.f64 b)) (fabs.f64 b) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 b)) (neg.f64 b) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) b) b #s(literal -1/6 binary64))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 b (*.f64 #s(literal 1/120 binary64) b) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal -1/6 binary64))))
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) b)) b))
(-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 b b)))
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 1/120 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 b b)))

eval64.0ms (0.8%)

Memory
26.5MiB live, 115.8MiB allocated; 9ms collecting garbage
Compiler

Compiled 15 899 to 2 173 computations (86.3% saved)

prune77.0ms (0.9%)

Memory
-17.8MiB live, 127.7MiB allocated; 11ms collecting garbage
Pruning

79 alts after pruning (68 fresh and 11 done)

PrunedKeptTotal
New46118479
Fresh35053
Picked235
Done088
Total46679545
Accuracy
99.9%
Counts
545 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (*.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
49.7%
(/.f64 (*.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
60.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
56.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a))))
63.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))) (sin.f64 a))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))) (sin.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))
69.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
66.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))))
43.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
43.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
20.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
19.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
✓78.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
58.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
✓60.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
39.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
13.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
42.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
41.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
✓62.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
39.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
39.5%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
55.4%
(/.f64 #s(approx (* r (sin b)) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
54.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
✓55.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
✓55.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
55.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
55.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
55.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) b) (sin.f64 a)) b (cos.f64 a))))
54.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
54.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
54.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
17.0%
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
55.4%
(/.f64 #s(approx (* r (sin b)) #s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
80.1%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
78.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
62.2%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
54.6%
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
54.6%
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
78.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
62.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
39.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
✓55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
54.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(approx (/ r (cos a)) r) r) (cos.f64 a)) b))
42.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) b)) (cos.f64 a)) b))
✓54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
40.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
38.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
37.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
38.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
37.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
30.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
30.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
✓38.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
54.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
36.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
36.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
30.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
12.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
11.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
Compiler

Compiled 4 872 to 1 940 computations (60.2% saved)

regimes107.0ms (1.3%)

Memory
18.1MiB live, 161.1MiB allocated; 10ms collecting garbage
Counts
102 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(approx (/ r (cos a)) r) r) (cos.f64 a)) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) b)) (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) #s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) b) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (PI.f64)) (*.f64 (neg.f64 (cos.f64 b)) (sin.f64 (PI.f64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Calls

4 calls:

27.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
26.0ms
b
25.0ms
r
24.0ms
a
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes95.0ms (1.2%)

Memory
-34.3MiB live, 158.3MiB allocated; 11ms collecting garbage
Counts
88 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(approx (/ r (cos a)) r) r) (cos.f64 a)) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) b)) (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) #s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) b) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Calls

4 calls:

24.0ms
r
22.0ms
a
22.0ms
b
21.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.4%1r
99.4%1a
99.4%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes92.0ms (1.1%)

Memory
43.3MiB live, 179.2MiB allocated; 9ms collecting garbage
Counts
87 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(approx (/ r (cos a)) r) r) (cos.f64 a)) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) b)) (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) #s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) b) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Calls

4 calls:

23.0ms
b
22.0ms
r
22.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
21.0ms
a
Results
AccuracySegmentsBranch
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.4%1r
99.4%1a
99.4%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes138.0ms (1.7%)

Memory
-23.5MiB live, 128.6MiB allocated; 45ms collecting garbage
Counts
86 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(approx (/ r (cos a)) r) r) (cos.f64 a)) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r) (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (* (* (sin a) b) (/ r (cos a))) r) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (cos.f64 a)) (/.f64 r b)) b)) (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) #s(approx (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 a) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 a) b))) b) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) b) b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) b (*.f64 b r))) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Calls

4 calls:

58.0ms
b
31.0ms
r
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
21.0ms
a
Results
AccuracySegmentsBranch
78.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.5%1r
78.5%1a
78.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes48.0ms (0.6%)

Memory
-20.6MiB live, 78.7MiB allocated; 9ms collecting garbage
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

4 calls:

13.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms
r
10.0ms
a
10.0ms
b
Results
AccuracySegmentsBranch
66.1%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
77.9%3a
62.3%1r
78.6%3b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.1%)

Memory
28.5MiB live, 28.5MiB allocated; 0ms collecting garbage
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
78.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.4%)

Memory
1.3MiB live, 47.4MiB allocated; 2ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
Calls

4 calls:

9.0ms
b
8.0ms
a
8.0ms
r
8.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
55.0%1r
55.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
55.0%1a
59.0%3b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (sin (+ (/ (PI) 2) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (* (+ (* (* b b) -1/6) 1) r) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b r)) b)) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
58.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes37.0ms (0.5%)

Memory
-21.2MiB live, 25.6MiB allocated; 1ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (cos.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

4 calls:

22.0ms
b
5.0ms
a
5.0ms
r
5.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
54.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
54.9%1r
54.9%1a
54.9%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes18.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
Calls

4 calls:

4.0ms
a
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
r
4.0ms
b
Results
AccuracySegmentsBranch
54.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
54.9%1r
54.9%1a
54.9%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes30.0ms (0.4%)

Memory
-18.8MiB live, 28.0MiB allocated; 1ms collecting garbage
Accuracy

Total -18.7b remaining (-47.4%)

Threshold costs -18.7b (-47.4%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (*.f64 r (fma.f64 (*.f64 a b) b b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 #s(approx (+ (* (* 1/2 a) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ (+ (* (* (sin a) b) (/ r (cos a))) r) (cos a)) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
Calls

4 calls:

18.0ms
r
4.0ms
a
4.0ms
b
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
38.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
38.4%1b
38.4%1r
38.4%1a
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch109.0ms (1.3%)

Memory
-3.6MiB live, 94.7MiB allocated; 7ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
55.0ms
1123625813167041.6
883174874723263900.0
51.0ms
-1.0614442574484962e+20
-224276180429240740.0
Samples
95.0ms253×1valid
0.0ms3×0valid
Compiler

Compiled 476 to 414 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 53.0ms (61.6% of total)
ival-cos: 13.0ms (15.1% of total)
ival-sin: 9.0ms (10.5% of total)
adjust: 6.0ms (7% of total)
ival-add: 3.0ms (3.5% of total)
ival-mult: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch100.0ms (1.2%)

Memory
4.4MiB live, 49.7MiB allocated; 5ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
86.0ms
2.3361830225300355e-13
30115461.05150115
10.0ms
-18548405037.289127
-14350043609.882418
Samples
80.0ms130×1valid
6.0ms94×0valid
Compiler

Compiled 600 to 448 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-add: 62.0ms (77.5% of total)
ival-cos: 7.0ms (8.7% of total)
ival-sin: 4.0ms (5% of total)
adjust: 3.0ms (3.7% of total)
ival-div: 2.0ms (2.5% of total)
ival-mult: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Memory
-11.1MiB live, 34.4MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
2.3361830225300355e-13
30115461.05150115
1.0ms
-18548405037.289127
-14350043609.882418
Samples
32.0ms73×0valid
9.0ms55×1valid
Compiler

Compiled 558 to 434 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 28.0ms (76.1% of total)
ival-cos: 4.0ms (10.9% of total)
ival-add: 1.0ms (2.7% of total)
adjust: 1.0ms (2.7% of total)
ival-div: 1.0ms (2.7% of total)
ival-mult: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
35.5MiB live, 35.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
2.3361830225300355e-13
30115461.05150115
7.0ms
-18548405037.289127
-14350043609.882418
Samples
7.0ms39×1valid
1.0ms9×0valid
Compiler

Compiled 432 to 378 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 2.0ms (33.2% of total)
ival-cos: 2.0ms (33.2% of total)
adjust: 1.0ms (16.6% of total)
ival-add: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify30.0ms (0.4%)

Memory
0.5MiB live, 54.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080283
1126283
2162283
3198283
4247283
5691283
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -225000000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 1150000000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -14500000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7349874591868649/144115188075855872 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -14500000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -16600000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5404319552844595/1125899906842624 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -225000000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 1150000000000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 b #s(literal -225000000000000000 binary64)) (not (<=.f64 b #s(literal 1150000000000000 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))))
(if (<=.f64 b #s(literal -14500000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7349874591868649/144115188075855872 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 b #s(literal -14500000000 binary64)) (not (<=.f64 b #s(literal 7349874591868649/144115188075855872 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -14500000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -14500000000 binary64)) (not (<=.f64 b #s(literal 9/2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -16600000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5404319552844595/1125899906842624 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -16600000000 binary64)) (not (<=.f64 b #s(literal 5404319552844595/1125899906842624 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) r) b))

derivations286.0ms (3.5%)

Memory
-0.9MiB live, 234.9MiB allocated; 30ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 283 to 84 computations (70.3% saved)

preprocess86.0ms (1%)

Memory
-10.6MiB live, 83.0MiB allocated; 7ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 616 to 208 computations (66.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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