rsin B (should all be same)

Time bar (total: 8.9s)

start0.0ms (0%)

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

analyze314.0ms (3.5%)

Memory
-3.4MiB live, 358.5MiB allocated; 105ms collecting garbage
Algorithm
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 (21.6%)

Memory
71.5MiB live, 1 937.0MiB allocated; 458ms collecting garbage
Samples
1.3s6 004×1valid
301.0ms2 252×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-cos: 329.0ms (28.1% of total)
ival-sin: 272.0ms (23.2% of total)
adjust: 197.0ms (16.8% of total)
ival-add: 189.0ms (16.2% of total)
ival-mult: 106.0ms (9.1% of total)
ival-div: 67.0ms (5.7% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain139.0ms (1.6%)

Memory
6.7MiB live, 154.9MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
81120(-6.463666032349542e-136 -2.1759009698527846e+234 -1.0509411374062832e-271)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity2011
Confusion
Predicted +Predicted -
+810
-12055
Precision
0.40298507462686567
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8100
-120154
Precision?
0.400990099009901
Recall?
1.0
Freqs
test
numberfreq
055
1201
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
72.0ms390×1valid
9.0ms122×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-cos: 17.0ms (29.6% of total)
ival-sin: 13.0ms (22.6% of total)
adjust: 10.0ms (17.4% of total)
ival-mult: 7.0ms (12.2% of total)
ival-add: 5.0ms (8.7% of total)
ival-div: 4.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess224.0ms (2.5%)

Memory
-7.7MiB live, 179.0MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03790
110188
220488
342688
476888
5163088
6348988
7652388
089
0139
1249
2419
3659
4849
51089
62069
78019
852839
082689
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify164.0ms (1.8%)

Memory
-12.4MiB live, 126.8MiB allocated; 20ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01328
12428
24128
36528
48428
510828
620628
780128
8528328
0826828
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a

localize391.0ms (4.4%)

Memory
-27.6MiB live, 57.7MiB allocated; 751ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 b)
accuracy0.203125
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.228847509768442
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy17.44189337164995
(cos.f64 (+.f64 a b))
Samples
379.0ms195×1valid
4.0ms61×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-mult: 339.0ms (93.4% of total)
ival-cos: 8.0ms (2.2% of total)
ival-sin: 6.0ms (1.7% of total)
adjust: 5.0ms (1.4% of total)
ival-add: 2.0ms (0.6% of total)
ival-div: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
4 → 38
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
#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)))) #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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms
b
@0
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms
a
@inf
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms
r
@0
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms
a
@0
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))

simplify224.0ms (2.5%)

Memory
-31.3MiB live, 158.3MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02541100
17371062
22646995
08159958
Stop Event
iter limit
node limit
Counts
38 → 38
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) (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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) (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 (neg.f64 a) (*.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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.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 (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 (*.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 (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)))))) 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) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (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 (sin.f64 b) (cos.f64 b)))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#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 b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (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 (+.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 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) 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 (neg.f64 (sin.f64 a)) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.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 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.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) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))))
#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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (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)))

rewrite221.0ms (2.5%)

Memory
18.3MiB live, 207.6MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
14622
226822
3291622
0811222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 182
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(*.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 (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 (neg.f64 (*.f64 (neg.f64 r) (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 (*.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)))))
(neg.f64 (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (-.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 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (neg.f64 (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(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)
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 b) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 b) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.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)) b)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(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)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 b) #s(literal 0 binary64)))
(/.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))))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 (neg.f64 b) b) (-.f64 a b)))))
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(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)))
(-.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 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 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 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(-.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 (sin.f64 b) (neg.f64 (neg.f64 (sin.f64 a)))))
(-.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 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.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 (neg.f64 b) a)))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (+.f64 a b))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(cos.f64 (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(cos.f64 (+.f64 (neg.f64 (neg.f64 b)) a))
(cos.f64 (-.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(cos.f64 (+.f64 a (neg.f64 (neg.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)) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (/.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 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b))))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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 (sin.f64 (/.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)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.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)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.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)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.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)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.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 (*.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 (neg.f64 (+.f64 a b)))))
(+.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 a)) (sin.f64 b)))

eval32.0ms (0.4%)

Memory
9.0MiB live, 53.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 5 333 to 1 037 computations (80.6% saved)

prune49.0ms (0.6%)

Memory
-28.7MiB live, 38.4MiB allocated; 14ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New18727214
Fresh000
Picked101
Done000
Total18827215
Accuracy
99.8%
Counts
215 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
74.8%
(*.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))))
72.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
72.6%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
99.3%
(*.f64 r (/.f64 (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))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
36.0%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
36.8%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
51.3%
(*.f64 r (/.f64 (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)))))
50.1%
(*.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)))))
51.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
51.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
54.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
10.9%
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
74.8%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))))
72.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
50.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
50.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
49.2%
#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 (*.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 (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)))))) 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)))))
50.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
54.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Compiler

Compiled 1 148 to 750 computations (34.7% saved)

simplify193.0ms (2.2%)

Memory
25.3MiB live, 160.3MiB allocated; 14ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#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)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (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))))
cost-diff0
(*.f64 r (/.f64 (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)))))
cost-diff0
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
cost-diff1
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff3
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(/.f64 r (cos.f64 (+.f64 a b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a 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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (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
041283
073283
1123283
2199283
3361271
4760271
51919271
64360271
77926271
08027269
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(sin.f64 b)
b
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
r
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(sin.f64 b)
b
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
(*.f64 r (/.f64 (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)))))
r
(/.f64 (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))))
(sin.f64 b)
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)))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (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))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a)))
r
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a)))
(sin.f64 b)
b
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(cos.f64 (-.f64 (neg.f64 b) a))
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))
(neg.f64 b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
a
(*.f64 r (/.f64 (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 (sin.f64 b) r) #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))))
r
(/.f64 (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 (sin.f64 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))))
(sin.f64 b)
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)))
#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)))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 a))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)

localize327.0ms (3.7%)

Memory
-16.1MiB live, 315.2MiB allocated; 46ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
accuracy0.203125
(*.f64 r (/.f64 (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)))))
accuracy0.228847509768442
(/.f64 (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))))
accuracy31.54839175494685
#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)))
accuracy0.00390625
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.203125
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
accuracy0.228847509768442
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
accuracy44.91825870237207
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
accuracy0.0
(sin.f64 b)
accuracy0.17578125
(/.f64 r (cos.f64 (+.f64 a b)))
accuracy0.1953125
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
accuracy17.44189337164995
(cos.f64 (+.f64 a b))
accuracy0.00390625
(cos.f64 a)
accuracy0.08984375
(/.f64 r (cos.f64 a))
accuracy0.12890625
(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy31.62561575461947
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy0.06640625
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.11995735864277479
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.203125
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
accuracy0.228847509768442
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
277.0ms200×1valid
16.0ms56×0valid
Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
adjust: 65.0ms (28.3% of total)
ival-sub: 44.0ms (19.2% of total)
ival-sin: 27.0ms (11.8% of total)
ival-cos: 26.0ms (11.3% of total)
ival-mult: 25.0ms (10.9% of total)
ival-add: 19.0ms (8.3% of total)
ival-div: 18.0ms (7.8% of total)
ival-pi: 2.0ms (0.9% of total)
ival-neg: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series123.0ms (1.4%)

Memory
36.3MiB live, 81.9MiB allocated; 9ms collecting garbage
Counts
20 → 154
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(*.f64 r (/.f64 (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 (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))))
#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 (cos.f64 b) (cos.f64 a))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
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) (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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (+ a b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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 (/ r (cos b))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (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 (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) a)) #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 (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (* (* (cos a) -1/2) b) #s(hole binary64 (* -1/2 b)))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos 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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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 (cos (+ a b))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (+ (* -1 b) (* 1/2 (PI)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ b (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (sin b) #s(hole binary64 (sin b)))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) 1))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
Calls

9 calls:

TimeVariablePointExpression
62.0ms
r
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (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) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (* (cos a) -1/2) b))
13.0ms
b
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (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) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (* (cos a) -1/2) b))
7.0ms
a
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (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) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (* (cos a) -1/2) b))
6.0ms
b
@0
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (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) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (* (cos a) -1/2) b))
6.0ms
a
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (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) (* (sin b) (/ r (cos (+ a b)))) (/ r (cos (+ a b))) (cos (+ a b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (* (* (cos a) -1/2) b))

simplify203.0ms (2.3%)

Memory
-17.0MiB live, 168.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07655563
122275291
083845087
Stop Event
iter limit
node limit
Counts
154 → 154
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) (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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (+ a b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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 (/ r (cos b))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (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 (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) a)) #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 (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (* (* (cos a) -1/2) b) #s(hole binary64 (* -1/2 b)))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos 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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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 (cos (+ a b))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (+ (* -1 b) (* 1/2 (PI)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ b (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (sin b) #s(hole binary64 (sin b)))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) 1))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
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) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.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 (* (sin b) (/ r (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 (/ r (cos (+ a b)))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.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))))) (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 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 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.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 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 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (fma.f64 (fma.f64 (neg.f64 a) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (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 (sin.f64 b) (cos.f64 b))))) (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))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (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 a #s(literal -1/2 binary64)) (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)))) (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 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.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 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) 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 (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 (/ 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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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 (* (sin b) (/ r (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 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.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) (/ r (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 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) 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 (/ r (cos b))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b))))
#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 (cos.f64 b) a) #s(literal -1/2 binary64)) (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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (neg.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #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 (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 b))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))) a (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (fma.f64 a (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))) a (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 (neg.f64 a) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (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 (sin.f64 b) (cos.f64 b))))) (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))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.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 (* (* (cos a) -1/2) b) #s(hole binary64 (* -1/2 b)))
#s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))))
#s(approx (* (* (cos a) -1/2) b) (*.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1/2 binary64))))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))))
#s(approx (* (* (cos a) -1/2) b) (fma.f64 (*.f64 b (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (* (cos a) -1/2) b) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))))
#s(approx (* (* (cos a) -1/2) b) (fma.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 1/1440 binary64) (*.f64 a a) #s(literal -1/48 binary64))) (*.f64 a a) (*.f64 #s(literal 1/4 binary64) b)) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 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 (+ (* (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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#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 (* (* (cos a) -1/2) b) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (* (* (cos a) -1/2) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.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 (* (sin b) (/ r (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 (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- b (* -1 a))))))
#s(approx (/ r (cos (+ a b))) (/.f64 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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.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 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.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 (- (* -1/6 (/ 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 (*.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) (+ (* (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 (fma.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal -1/3 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)))) (neg.f64 b) (-.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 (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (fma.f64 (*.f64 b b) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))))
#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) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 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) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 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) (cos.f64 a)) b (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 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 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 (*.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) (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 (fma.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal -1/3 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)))) (neg.f64 b) (-.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 (* (sin b) (/ r (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 (* (sin b) (/ r (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 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) (/ r (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 (*.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 (* (sin b) (/ r (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 (fma.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal -1/3 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)))) (neg.f64 b) (-.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 (cos (+ a b))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a)))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 (fma.f64 (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)))) (neg.f64 b) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (/ r (cos (+ a b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (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)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b)) (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))))
#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 #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 (*.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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) #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 b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) b) #s(literal -1/2 binary64) (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 b) (/ (PI) 2)) a)) #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 (sin (- (+ (neg b) (/ (PI) 2)) a)) (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 b) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (+ (* -1 b) (* 1/2 (PI)))))
#s(approx (+ (neg b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) (*.f64 (fma.f64 (*.f64 b r) (/.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))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) b (*.f64 r (/.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))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (/.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.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 r (/.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)))) #s(literal -1/3 binary64))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) b (*.f64 r (/.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))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ b (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (fma.f64 (*.f64 b (/.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)))) b (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) b (/.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)))) (*.f64 b b) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (fma.f64 (fma.f64 (fma.f64 (fma.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))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) b (/.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)))) (*.f64 b b) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))))
#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 #s(literal -1/2 binary64) b) b #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 #s(literal -1/720 binary64) b) b #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 (sin b) #s(hole binary64 (sin b)))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) 1))))
#s(approx (+ (neg b) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) 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 (* (sin b) (/ r (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 (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b))))))
#s(approx (/ r (cos (+ a b))) (/.f64 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 b) (/ (PI) 2)) a)) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
#s(approx (+ (neg b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))))
#s(approx (+ (neg b) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) #s(hole binary64 (/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

rewrite109.0ms (1.2%)

Memory
-9.7MiB live, 53.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041204
073218
1238183
01704183
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 202
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(*.f64 r (/.f64 (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 (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))))
#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 (cos.f64 b) (cos.f64 a))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
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 r (cos.f64 (+.f64 a b))) (sin.f64 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 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (*.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))))
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(+.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)) (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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)) (fma.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a))))))
(fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (*.f64 (cos.f64 b) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a)))
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (*.f64 (cos.f64 b) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 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)) (pow.f64 (neg.f64 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 b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b))) (/.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 b)) (*.f64 b b))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))) r)
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))))
(/.f64 (sin.f64 b) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))))
(*.f64 (/.f64 (sin.f64 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)))) r)
(*.f64 r (/.f64 (sin.f64 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 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 #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 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 #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 (neg.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 a)) b) (sin.f64 a)) b (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) #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 (neg.f64 (sin.f64 b)) (neg.f64 #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 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 #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 (sin.f64 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))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 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)))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 #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)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))
(*.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)) (neg.f64 b)) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (neg.f64 a)))) #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 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) #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)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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)))
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a)))

eval50.0ms (0.6%)

Memory
12.3MiB live, 98.2MiB allocated; 15ms collecting garbage
Compiler

Compiled 10 004 to 1 555 computations (84.5% saved)

prune76.0ms (0.9%)

Memory
-20.6MiB live, 87.6MiB allocated; 12ms collecting garbage
Pruning

61 alts after pruning (59 fresh and 2 done)

PrunedKeptTotal
New29446340
Fresh91322
Picked325
Done000
Total30661367
Accuracy
99.9%
Counts
367 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
74.8%
(*.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))))
72.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
72.6%
(*.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))))
50.0%
(*.f64 (sin.f64 b) (/.f64 r #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)))))
50.1%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))))
51.5%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
51.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
54.5%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
53.9%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
50.3%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
50.3%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
50.3%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
50.4%
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
51.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
55.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
55.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
54.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
55.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
62.4%
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 r (/.f64 (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))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
34.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
15.9%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
36.8%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
54.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
36.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
10.9%
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
49.9%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) 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)))))
31.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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)))))
31.6%
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
51.0%
(*.f64 r (/.f64 #s(approx (sin b) 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)))))
74.8%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))))
99.2%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.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)))))
72.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
72.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.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)))))
50.5%
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
31.7%
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
50.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
36.0%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
36.2%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
50.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
50.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) b))
31.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
31.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
50.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
29.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
30.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
29.9%
#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))
32.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
24.0%
#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 2 782 to 1 940 computations (30.3% saved)

simplify188.0ms (2.1%)

Memory
2.1MiB live, 185.3MiB allocated; 36ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
cost-diff10
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
cost-diff0
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
cost-diff0
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
cost-diff0
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
cost-diff2
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
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 a)) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057324
093324
1169324
2365316
3970307
43132306
57919306
08006303
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
(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
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(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)
#s(literal 1 binary64)
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))
#s(literal 1/2 binary64)
(PI.f64)
(-.f64 (neg.f64 a) b)
(neg.f64 a)
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 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(cos.f64 (-.f64 b a))
(-.f64 b a)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
b
(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 a)) (sin.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 #s(approx (/ r (cos a)) r) b)
#s(approx (/ r (cos a)) r)
r
b
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #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)))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) 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)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(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)
#s(literal 1 binary64)
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b))
#s(literal 1/2 binary64)
(PI.f64)
(-.f64 (neg.f64 a) b)
(neg.f64 a)
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 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(cos.f64 (-.f64 b a))
(-.f64 b a)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)

localize366.0ms (4.1%)

Memory
-23.0MiB live, 422.6MiB allocated; 64ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.26171875
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
accuracy0.340507519536884
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy17.400802415207355
(cos.f64 (-.f64 b a))
accuracy17.44189337164995
(cos.f64 (+.f64 a b))
accuracy0.0078125
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))
accuracy0.125
(*.f64 (sin.f64 b) r)
accuracy0.26171875
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
accuracy44.91825870237207
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))
accuracy0.17578125
(/.f64 r (cos.f64 (+.f64 a b)))
accuracy0.1953125
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
accuracy17.44189337164995
(cos.f64 (+.f64 a b))
accuracy31.594051947345445
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
accuracy0.12890625
(*.f64 #s(approx (/ r (cos a)) r) b)
accuracy31.62561575461947
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
accuracy32.32242983042805
#s(approx (/ r (cos a)) r)
accuracy0.11345466452874396
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy0.203125
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
accuracy0.228847509768442
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
accuracy0.23046875
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
Samples
281.0ms200×1valid
24.0ms56×0valid
Compiler

Compiled 282 to 54 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-cos: 45.0ms (20.3% of total)
ival-div: 39.0ms (17.6% of total)
ival-sin: 39.0ms (17.6% of total)
ival-mult: 37.0ms (16.7% of total)
adjust: 29.0ms (13.1% of total)
ival-add: 12.0ms (5.4% of total)
const: 9.0ms (4.1% of total)
ival-sub: 6.0ms (2.7% of total)
ival-neg: 3.0ms (1.4% of total)
ival-pi: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
37.4MiB live, 83.8MiB allocated; 5ms collecting garbage
Counts
23 → 201
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#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)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
(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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
(*.f64 (sin.f64 b) r)
(*.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 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(/.f64 r (cos.f64 (+.f64 a b)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 b a))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (+ a b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #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 b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (pow (cos b) 2))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2)))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2)))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (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 b))) #s(hole binary64 (/ r (cos b))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (cos (- b a)) #s(hole binary64 (cos b)))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos b) (* a (sin b)))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (pow (cos b) 2)))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 a)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (cos (- b a)) #s(hole binary64 (cos (- b a))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos (+ a 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 b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- b (* -1 a))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (cos (- b a)) #s(hole binary64 (cos (+ b (* -1 a)))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 a)) (sin b))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #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 (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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 (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #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) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* b r) (* (cos a) (cos (neg a))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a))))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a))))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a))))))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (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 (cos (+ a b))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (cos (- b a)) #s(hole binary64 (cos (neg a))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos (neg a)) (* -1 (* b (sin (neg a)))))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos a) (cos (neg a)))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* 1/120 (pow b 5))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* 1/120 (pow b 4))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (cos (- b a)) #s(hole binary64 (cos (neg (+ a (* -1 b))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
a
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) (* (sin b) (/ r (cos (+ a b)))) (sin b) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) (* (sin b) r) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (/ r (cos (+ a b))) (sin (+ (* 1/2 (PI)) (- (neg a) b))) (+ (* 1/2 (PI)) (- (neg a) b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
6.0ms
r
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) (* (sin b) (/ r (cos (+ a b)))) (sin b) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) (* (sin b) r) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (/ r (cos (+ a b))) (sin (+ (* 1/2 (PI)) (- (neg a) b))) (+ (* 1/2 (PI)) (- (neg a) b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
6.0ms
r
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) (* (sin b) (/ r (cos (+ a b)))) (sin b) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) (* (sin b) r) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (/ r (cos (+ a b))) (sin (+ (* 1/2 (PI)) (- (neg a) b))) (+ (* 1/2 (PI)) (- (neg a) b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
5.0ms
r
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) (* (sin b) (/ r (cos (+ a b)))) (sin b) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) (* (sin b) r) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (/ r (cos (+ a b))) (sin (+ (* 1/2 (PI)) (- (neg a) b))) (+ (* 1/2 (PI)) (- (neg a) b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
5.0ms
b
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) (* (sin b) (/ r (cos (+ a b)))) (sin b) (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) (* (sin b) r) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (/ r (cos (+ a b))) (sin (+ (* 1/2 (PI)) (- (neg a) b))) (+ (* 1/2 (PI)) (- (neg a) b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))

simplify201.0ms (2.3%)

Memory
13.9MiB live, 194.2MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09807739
130387544
083217244
Stop Event
iter limit
node limit
Counts
201 → 201
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (+ a b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #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 b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (pow (cos b) 2))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2)))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2)))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (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 b))) #s(hole binary64 (/ r (cos b))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (cos (- b a)) #s(hole binary64 (cos b)))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos b) (* a (sin b)))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (pow (cos b) 2)))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 a)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (cos (- b a)) #s(hole binary64 (cos (- b a))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos (+ a 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 b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- b (* -1 a))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (cos (- b a)) #s(hole binary64 (cos (+ b (* -1 a)))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 a)) (sin b))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #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 (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (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 (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 b) (/ (PI) 2)) a)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #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 (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #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) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b 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) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* b r) (* (cos a) (cos (neg a))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a))))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a))))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a))))))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (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 (cos (+ a b))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b))) #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 (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (cos (- b a)) #s(hole binary64 (cos (neg a))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos (neg a)) (* -1 (* b (sin (neg a)))))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))))
#s(approx (cos (- b a)) #s(hole binary64 (+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos a) (cos (neg a)))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* 1/120 (pow b 5))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* 1/120 (pow b 4))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b))))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (cos (- b a)) #s(hole binary64 (cos (neg (+ a (* -1 b))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #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 a)) (sin b))))) (*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) r))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) (/ r (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 (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (+ a b)))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin a)) (sin b))))) (fma.f64 a (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin a)) (sin b))))) (fma.f64 (fma.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))) (neg.f64 a) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin a)) (sin b))))) (fma.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.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))) (sin.f64 b)) (cos.f64 b))) (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 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (fma.f64 (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)))) (neg.f64 a) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (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)))) (sin.f64 b)) (cos.f64 b))) (neg.f64 a)) (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))))) a (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (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 a)) (sin b))) #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 a)) (sin b))) (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 (* (sin b) (/ r (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) 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)))))
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#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))))
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#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)))))))
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#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))))))
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#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
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#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
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#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
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#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) #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))))))
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#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
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#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
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#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 (cos.f64 b) a) #s(literal -1/2 binary64)) (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))))))
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#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos b))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))))
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#s(approx (sin b) b)
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#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
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#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
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#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
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#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
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#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (sin b) (sin.f64 b))
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#s(approx (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
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#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 b)))
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#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
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#s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))))
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#s(approx (* (sin b) (/ r (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (sin b) (/ r (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
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#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (/ (* (sin b) r) (sin (+ (* 1/2 (PI)) (- (neg a) b)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))))
#s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (fma.f64 #s(literal -1 binary64) b a))) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (/ r (cos (+ a b))) #s(hole binary64 (/ r (cos (- a (* -1 b))))))
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (sin (+ (* 1/2 (PI)) (- (neg a) b))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 b)))
#s(approx (cos (- b a)) #s(hole binary64 (cos (neg (+ a (* -1 b))))))
#s(approx (cos (- b a)) (cos.f64 (fma.f64 #s(literal -1 binary64) b a)))
#s(approx (* (cos (- b a)) (cos (+ a b))) #s(hole binary64 (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))))
#s(approx (* (cos (- b a)) (cos (+ a b))) (*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (cos.f64 (-.f64 a (neg.f64 b)))))

rewrite119.0ms (1.3%)

Memory
-24.1MiB live, 122.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057260
093229
1330229
02607229
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 329
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#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)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
(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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
(*.f64 (sin.f64 b) r)
(*.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 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(/.f64 r (cos.f64 (+.f64 a b)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 b a))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
Outputs
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a))) (/.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (cos.f64 (-.f64 b a)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 b a))))
(*.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 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 b a))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (neg.f64 r) (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 b a)) (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)))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))))
(fma.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))))
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(sin.f64 b)
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (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 (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 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(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 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.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 (sin.f64 a) (sin.f64 b)))
(-.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)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (+.f64 a b))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (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 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 #s(approx (/ r (cos a)) r) b)
(*.f64 b #s(approx (/ r (cos a)) r))
#s(approx (/ r (cos a)) 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)) b)
(*.f64 b (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) #s(literal 2 binary64)) #s(literal 1 binary64)) b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) #s(literal 3 binary64)) #s(literal -1 binary64)) b) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) #s(literal 2 binary64))))
(/.f64 (*.f64 b (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (*.f64 b (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b (*.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))
(fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) (*.f64 b #s(literal 1 binary64)))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b) (*.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))
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(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 (-.f64 b a))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (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)) (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)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (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)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal -2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))) (cos.f64 (-.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) (cos.f64 (-.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 a)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 b)) (cos.f64 a) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 b)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 a)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (neg.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (fabs.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (fabs.f64 (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a b)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 (-.f64 b a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(fma.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))))
(fma.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(-.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 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))
(+.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))))
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 a b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(+.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(+.f64 (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 (/.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

eval112.0ms (1.3%)

Memory
-21.2MiB live, 125.3MiB allocated; 20ms collecting garbage
Compiler

Compiled 18 706 to 2 268 computations (87.9% saved)

prune79.0ms (0.9%)

Memory
37.1MiB live, 168.5MiB allocated; 14ms collecting garbage
Pruning

81 alts after pruning (77 fresh and 4 done)

PrunedKeptTotal
New49138529
Fresh153954
Picked325
Done022
Total50981590
Accuracy
100.0%
Counts
590 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
72.6%
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
99.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 b a)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 b a)))
35.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
72.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
99.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 (-.f64 b a))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
35.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
35.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
36.6%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))
54.1%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
72.6%
(*.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))))
54.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
53.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
54.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
55.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
72.2%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
72.6%
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
72.5%
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
72.6%
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b a)))
50.0%
(*.f64 (sin.f64 b) (/.f64 r #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)))))
50.1%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))))
51.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
54.5%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
53.9%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
50.5%
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
50.3%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
50.0%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #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)))))
50.2%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
31.9%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
50.2%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))))
50.3%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
50.4%
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
51.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
55.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
55.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
54.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
55.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) b)))))
59.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 (sin.f64 b)) a)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
34.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
15.9%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
36.8%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
54.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
36.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
10.9%
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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)))))
31.6%
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
51.0%
(*.f64 r (/.f64 #s(approx (sin b) 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)))))
74.8%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))))
99.2%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
72.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.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)))))
50.5%
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
31.7%
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
50.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
54.5%
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
35.3%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 a))))))
29.6%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 b))))))
16.3%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
17.0%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
31.4%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
31.6%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
50.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
31.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
31.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
50.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
29.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
30.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
29.9%
#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))
32.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
24.0%
#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 3 976 to 2 741 computations (31.1% saved)

simplify130.0ms (1.5%)

Memory
12.0MiB live, 165.9MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
cost-diff2
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
cost-diff0
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
cost-diff1
(+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054419
087416
1168416
2339416
3845410
43127410
08072399
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(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 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
(cos.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
r
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))
(*.f64 (sin.f64 a) b)
(sin.f64 a)
a
b
(cos.f64 a)
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(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 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
(cos.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a))
(/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) (sin.f64 a))
(*.f64 (sin.f64 a) b)
(sin.f64 a)
a
b
(cos.f64 a)
#s(literal 1 binary64)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))
(fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(*.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(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)
#s(literal -1/6 binary64)
#s(literal 1 binary64)

localize261.0ms (2.9%)

Memory
-32.0MiB live, 349.0MiB allocated; 37ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.203125
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
accuracy0.228847509768442
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
accuracy0.23046875
(*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
accuracy31.595630038462627
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
accuracy0.1796875
(*.f64 (sin.f64 a) b)
accuracy0.203125
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
accuracy0.21941376953688405
(/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))
accuracy31.850598625513786
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))
accuracy0.0
(cos.f64 b)
accuracy0.203125
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
accuracy0.228847509768442
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
accuracy32.964632234838064
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) a)
accuracy7.221438377916928
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
accuracy31.62561575461947
#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))))
accuracy33.519613716681256
#s(approx (* (/ r (cos a)) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
accuracy0.12169850823848477
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy0.203125
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
accuracy0.228847509768442
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
accuracy0.23046875
(*.f64 (sin.f64 a) (sin.f64 b))
Samples
202.0ms195×1valid
19.0ms61×0valid
Compiler

Compiled 315 to 46 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-mult: 42.0ms (25.1% of total)
ival-div: 28.0ms (16.7% of total)
ival-cos: 28.0ms (16.7% of total)
ival-add: 23.0ms (13.7% of total)
adjust: 22.0ms (13.1% of total)
ival-sin: 15.0ms (8.9% of total)
const: 5.0ms (3% of total)
ival-sub: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
0.8MiB live, 144.7MiB allocated; 18ms collecting garbage
Counts
25 → 169
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (sin.f64 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))) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 #s(literal 1/2 binary64) a)
(cos.f64 b)
(/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))
(*.f64 (sin.f64 a) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (+ 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 (* 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 a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (* 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a b))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1/2 b))))))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b))))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 b))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (pow b 2)))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (+ (* a (- (* a (- (* b (- (* -1/6 b) (* -1/2 b))) (* -1/2 (pow b 2)))) (* -1/2 b))) (pow b 2))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a b)))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1/2 b)))))))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b)))))))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (+ (* 1/120 b) (* (pow a 2) (- (* -1/5040 b) (+ (* -1/2 (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b)))) (+ (* -1/720 b) (* 1/24 (- (* -1/6 b) (* -1/2 b)))))))) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b)))))))
#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 (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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 b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos 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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (/ (* b (sin a)) (cos a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ (* b (+ 1 (/ (* b (sin a)) (cos a)))) (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (/ (* b (sin a)) (cos a))))
#s(approx (* (sin a) b) #s(hole binary64 (* b (sin a))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (* 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ b (cos a))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 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 (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (sin b) #s(hole binary64 (sin b)))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (/ (* b (sin a)) (cos a))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (* b (+ (/ 1 b) (/ (sin a) (cos a))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ (* (pow b 2) (sin a)) (pow (cos a) 2))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (* -1 (* b (- (* -1 (/ (sin a) (cos a))) (/ 1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
a
@-inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (/ (* (sin a) b) (cos a)) 1) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (* 1/2 a) (cos b) (/ (* (sin a) b) (cos a)) (* (sin a) b) (sin b) (* (neg (sin a)) (sin b)))
9.0ms
r
@-inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (/ (* (sin a) b) (cos a)) 1) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (* 1/2 a) (cos b) (/ (* (sin a) b) (cos a)) (* (sin a) b) (sin b) (* (neg (sin a)) (sin b)))
8.0ms
b
@-inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (/ (* (sin a) b) (cos a)) 1) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (* 1/2 a) (cos b) (/ (* (sin a) b) (cos a)) (* (sin a) b) (sin b) (* (neg (sin a)) (sin b)))
7.0ms
b
@0
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (/ (* (sin a) b) (cos a)) 1) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (* 1/2 a) (cos b) (/ (* (sin a) b) (cos a)) (* (sin a) b) (sin b) (* (neg (sin a)) (sin b)))
7.0ms
a
@inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (/ (* (sin a) b) (cos a)) 1) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin a) (sin b)) (* 1/2 a) (cos b) (/ (* (sin a) b) (cos a)) (* (sin a) b) (sin b) (* (neg (sin a)) (sin b)))

simplify184.0ms (2.1%)

Memory
7.0MiB live, 149.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06505745
118705501
272355469
082485219
Stop Event
iter limit
node limit
Counts
169 → 169
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) (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 (* 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 a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (* 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a b))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1/2 b))))))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b))))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 b))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (pow b 2)))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (+ (* a (- (* a (- (* b (- (* -1/6 b) (* -1/2 b))) (* -1/2 (pow b 2)))) (* -1/2 b))) (pow b 2))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#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 (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a b)))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1/2 b)))))))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b)))))))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (+ (* 1/120 b) (* (pow a 2) (- (* -1/5040 b) (+ (* -1/2 (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b)))) (+ (* -1/720 b) (* 1/24 (- (* -1/6 b) (* -1/2 b)))))))) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b)))))))
#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 (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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 b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos 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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (/ (* b (sin a)) (cos a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ (* b (+ 1 (/ (* b (sin a)) (cos a)))) (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (/ (* b (sin a)) (cos a))))
#s(approx (* (sin a) b) #s(hole binary64 (* b (sin a))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (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 (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (* 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ b (cos a))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 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 (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (sin b) #s(hole binary64 (sin b)))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (/ (* b (sin a)) (cos a))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (* b (+ (/ 1 b) (/ (sin a) (cos a))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ (* (pow b 2) (sin a)) (pow (cos a) 2))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (* -1 (* b (- (* -1 (/ (sin a) (cos a))) (/ 1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
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)) (* (neg (sin a)) (sin b))))) (*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b) r))
#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 a)) (sin b))))) (*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) r))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #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 a)) (sin b))))) (*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) r))
#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)) (* (neg (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)) (* (neg (sin a)) (sin 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 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)) (* (neg (sin a)) (sin b))))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.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 #s(literal -1/2 binary64) (sin.f64 b)) r) (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)))
#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)) (* (neg (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 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (fma.f64 (neg.f64 a) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (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 (sin.f64 b) (cos.f64 b))))) (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))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (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 (cos.f64 b) a) #s(literal -1/2 binary64)) (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)))) (/.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 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (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)))
#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 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) 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) r) b (*.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) r) b (*.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 (* (+ (* (* 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b) 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 (* 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 a)) (sin b))))) (*.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 a)) (sin 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) (+ (* (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) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.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 #s(literal -1/2 binary64) (sin.f64 b)) r) (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)))
#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) (+ (* (cos b) (cos a)) (* (neg (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 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (fma.f64 (neg.f64 a) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (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 (sin.f64 b) (cos.f64 b))))) (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))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (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 (- (* (cos b) (cos a)) (* (sin a) (sin b))) (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 (- (* (cos b) (cos a)) (* (sin a) (sin b))) (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 (- (* (cos b) (cos a)) (* (sin a) (sin b))) (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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a b))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) (fma.f64 a b #s(literal 1 binary64)))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1/2 b))))))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 a a) b) a #s(literal 1 binary64)))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b))))))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) b) (fma.f64 #s(literal -1/6 binary64) b (*.f64 #s(literal 1/24 binary64) b))) (*.f64 a a) (*.f64 #s(literal 1/3 binary64) b)) (*.f64 a a) b) a #s(literal 1 binary64)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 (neg.f64 a) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (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 (sin.f64 b) (cos.f64 b))))) (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))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 b))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) b)
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (pow b 2)))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a b))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (+ b (* a (+ (* a (- (* a (- (* b (- (* -1/6 b) (* -1/2 b))) (* -1/2 (pow b 2)))) (* -1/2 b))) (pow b 2))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) #s(literal 1/3 binary64))) a)) a (*.f64 b b)) a b))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin a)) (sin 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 b) (cos a)) (* (neg (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)) (* (neg (sin a)) (sin b))))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.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 #s(literal -1/2 binary64) (sin.f64 b)) r) (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)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (sin.f64 b) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (fma.f64 (neg.f64 a) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (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 (sin.f64 b) (cos.f64 b))))) (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))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (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)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (*.f64 (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 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))))) 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 (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a b)))
#s(approx (/ (* (sin a) b) (cos a)) (*.f64 a b))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1/2 b)))))))
#s(approx (/ (* (sin a) b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) b) (*.f64 a a) b) a))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b)))))))
#s(approx (/ (* (sin a) b) (cos a)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) b) (fma.f64 #s(literal -1/6 binary64) b (*.f64 #s(literal 1/24 binary64) b))) (*.f64 a a) (*.f64 #s(literal 1/3 binary64) b)) (*.f64 a b)))
#s(approx (/ (* (sin a) b) (cos a)) #s(hole binary64 (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (+ (* 1/120 b) (* (pow a 2) (- (* -1/5040 b) (+ (* -1/2 (- (* 1/120 b) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b)))) (+ (* -1/720 b) (* 1/24 (- (* -1/6 b) (* -1/2 b)))))))) (+ (* -1/2 (- (* -1/6 b) (* -1/2 b))) (* 1/24 b))))) (* -1/2 b)))))))
#s(approx (/ (* (sin a) b) (cos a)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) b) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) b) (fma.f64 #s(literal -1/6 binary64) b (*.f64 #s(literal 1/24 binary64) b))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) b (*.f64 b #s(literal 1/72 binary64))))) (*.f64 a a) (-.f64 (*.f64 #s(literal 1/120 binary64) b) (fma.f64 #s(literal -1/6 binary64) b (*.f64 #s(literal 1/24 binary64) b)))) (*.f64 a a) (*.f64 #s(literal 1/3 binary64) b)) (*.f64 a b)))
#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) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (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 b)))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))
#s(approx (* (neg (sin a)) (sin b)) #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 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) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (sin a)) (sin b)) #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 (sin a)) (sin b)) (*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a))
#s(approx (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) #s(hole binary64 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 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 a)) (sin.f64 b) (*.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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))
#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 #s(literal 1/2 binary64) r) b (*.f64 (/.f64 b a) (/.f64 r a))) (*.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 b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 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 (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (+ 1 (/ (* b (sin a)) (cos a)))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ (* b (+ 1 (/ (* b (sin a)) (cos a)))) (cos a))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
#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 (/ (* (sin a) b) (cos a)) #s(hole binary64 (/ (* b (sin a)) (cos a))))
#s(approx (/ (* (sin a) b) (cos a)) (*.f64 (/.f64 b (cos.f64 a)) (sin.f64 a)))
#s(approx (* (sin a) b) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) b) (*.f64 (sin.f64 a) b))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 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))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#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)) (* (neg (sin a)) (sin b))))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b))
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#s(approx (sin b) b)
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#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ b (cos a))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (/.f64 b (cos.f64 a)))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) b)
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin a)) (sin 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 b) (cos a)) (* (neg (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)) (* (neg (sin a)) (sin 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 b) (cos a)) (* (neg (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) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b))
#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)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b))
#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)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (sin.f64 a) b)))
#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 (* (sin a) (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal -1/5040 binary64) b) b #s(literal 1/120 binary64))))) b))
#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 (fma.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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) (*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal -1/120 binary64) b) b #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) (*.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 (*.f64 #s(literal 1/5040 binary64) b) b #s(literal -1/120 binary64))))) b))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (/ (* b (sin a)) (cos a))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) (*.f64 (/.f64 b (cos.f64 a)) (sin.f64 a)))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (* b (+ (/ 1 b) (/ (sin a) (cos a))))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (/ (* (pow b 2) (sin a)) (pow (cos a) 2))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b)))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) #s(hole binary64 (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))))
#s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 #s(literal 1 binary64) b)) (cos.f64 a)) (*.f64 b b)))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#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 (+ (/ (* (sin a) b) (cos a)) 1) #s(hole binary64 (* -1 (* b (- (* -1 (/ (sin a) (cos a))) (/ 1 b))))))
#s(approx (+ (/ (* (sin a) b) (cos a)) 1) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b))))

rewrite159.0ms (1.8%)

Memory
18.7MiB live, 210.3MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054328
087283
1273283
21873268
08155264
Stop Event
iter limit
node limit
iter limit
Counts
25 → 269
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (sin.f64 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))) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 #s(literal 1/2 binary64) a)
(cos.f64 b)
(/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a))
(*.f64 (sin.f64 a) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
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 (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 (*.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 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
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(*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
(neg.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))

eval87.0ms (1%)

Memory
-18.0MiB live, 71.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 12 505 to 2 079 computations (83.4% saved)

prune135.0ms (1.5%)

Memory
4.3MiB live, 148.8MiB allocated; 16ms collecting garbage
Pruning

82 alts after pruning (75 fresh and 7 done)

PrunedKeptTotal
New42417441
Fresh145872
Picked235
Done044
Total44082522
Accuracy
100.0%
Counts
522 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.5%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
72.6%
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
99.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 b a)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 b a)))
35.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
72.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
99.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 (-.f64 b a))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
35.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
35.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
36.6%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))
54.1%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
72.6%
(*.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))))
54.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
53.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
54.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
55.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
72.2%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
72.6%
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
72.5%
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
72.6%
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b a)))
50.0%
(*.f64 (sin.f64 b) (/.f64 r #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)))))
50.1%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))))
51.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
54.5%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
53.9%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
50.5%
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
31.9%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
50.2%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))))
50.3%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
50.4%
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
55.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
55.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
54.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
59.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 (sin.f64 b)) a)))))
50.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.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 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
50.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
51.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.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 (sin.f64 a) (sin.f64 b)))))
34.7%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
53.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
37.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
54.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
32.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
32.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
32.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
35.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
36.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
10.9%
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
51.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
50.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
50.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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)))))
32.0%
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
51.0%
(*.f64 r (/.f64 #s(approx (sin b) 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)))))
74.8%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))))
99.2%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
72.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.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)))))
50.5%
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
31.7%
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
50.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 b (tan.f64 a) #s(literal 1 binary64)) (cos.f64 a)) b)))
50.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
29.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a b))))
35.3%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 a))))))
29.6%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 b))))))
16.3%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
17.0%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
50.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
31.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
50.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
29.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
30.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
29.9%
#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))
32.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
24.0%
#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))))
8.5%
#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))))
13.7%
#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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
Compiler

Compiled 5 450 to 2 088 computations (61.7% saved)

regimes201.0ms (2.3%)

Memory
8.4MiB live, 286.0MiB allocated; 26ms collecting garbage
Counts
129 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a b))))
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(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.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 (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 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r #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)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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 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 r (*.f64 (/.f64 (sin.f64 b) (+.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 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 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)) (-.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 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 r (/.f64 (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 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 (-.f64 b a))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
#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 (*.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 (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)))))) 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)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
Calls

5 calls:

60.0ms
a
36.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.0ms
r
33.0ms
b
32.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes156.0ms (1.7%)

Memory
17.2MiB live, 265.3MiB allocated; 31ms collecting garbage
Counts
112 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 b (tan.f64 a) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 a))))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) 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 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) 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 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #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)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.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 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 (sin.f64 b)) a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(*.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 r (/.f64 (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 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b 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 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.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 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.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 (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 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
Calls

5 calls:

37.0ms
b
29.0ms
a
29.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
28.0ms
r
28.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes150.0ms (1.7%)

Memory
-23.2MiB live, 258.2MiB allocated; 22ms collecting garbage
Counts
111 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 b (tan.f64 a) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 a))))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) 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 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) 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 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #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)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.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 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 (sin.f64 b)) a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(*.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 r (/.f64 (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 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b 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 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.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 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.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 (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 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Calls

5 calls:

31.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
29.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
28.0ms
r
28.0ms
b
28.0ms
a
Results
AccuracySegmentsBranch
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes167.0ms (1.9%)

Memory
24.5MiB live, 167.2MiB allocated; 13ms collecting garbage
Counts
110 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #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) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 b (tan.f64 a) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 b))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 a))))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) 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 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) 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 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #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)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.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 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 (sin.f64 b)) a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(*.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 r (/.f64 (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 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b 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 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.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 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.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 (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 (-.f64 (cos.f64 (-.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) (cos.f64 (+.f64 (-.f64 b (-.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

5 calls:

50.0ms
r
33.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
28.0ms
a
26.0ms
b
26.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
72.7%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
72.7%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
72.7%1r
72.7%1a
72.7%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes77.0ms (0.9%)

Memory
5.7MiB live, 93.7MiB allocated; 9ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Calls

5 calls:

24.0ms
r
16.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
12.0ms
a
11.0ms
b
11.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
72.6%1b
72.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
72.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
72.6%1r
72.6%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes117.0ms (1.3%)

Memory
-8.1MiB live, 62.7MiB allocated; 41ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

69.0ms
r
11.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
11.0ms
a
11.0ms
b
11.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
72.6%1b
72.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
72.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
72.6%1r
72.6%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes110.0ms (1.2%)

Memory
-24.4MiB live, 111.9MiB allocated; 9ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 #s(approx (+ (* 1/2 (PI)) (- (neg a) b)) (neg.f64 b)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
Calls

5 calls:

45.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
26.0ms
a
14.0ms
b
11.0ms
r
11.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
73.0%3b
72.9%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
60.4%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
61.2%3r
72.3%3a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes11.0ms (0.1%)

Memory
28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
73.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
-27.7MiB live, 26.5MiB allocated; 4ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
73.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes48.0ms (0.5%)

Memory
21.0MiB live, 112.8MiB allocated; 8ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
Calls

5 calls:

11.0ms
r
11.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms
a
8.0ms
b
8.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
50.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
50.5%1r
50.5%1a
54.8%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.8%3b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes19.0ms (0.2%)

Memory
-1.9MiB live, 44.0MiB allocated; 4ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
Calls

2 calls:

10.0ms
b
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
54.6%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.6%3b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes20.0ms (0.2%)

Memory
-16.5MiB live, 32.6MiB allocated; 9ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) b) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* 1/120 (* b b)) -1/6) (* b b)) 1) b) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 #s(approx (+ (/ (* (sin a) b) (cos a)) 1) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 #s(approx (sin b) b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #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))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(*.f64 r (/.f64 #s(approx (sin b) b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
Calls

2 calls:

6.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
b
Results
AccuracySegmentsBranch
54.4%3b
52.9%2(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.2%)

Memory
3.5MiB live, 50.4MiB allocated; 2ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
Calls

4 calls:

5.0ms
a
4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
b
Results
AccuracySegmentsBranch
50.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
50.5%1a
50.5%1b
50.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 18 to 21 computations (-16.7% saved)

regimes17.0ms (0.2%)

Memory
-1.8MiB live, 45.5MiB allocated; 2ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #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 (cos.f64 a)) b))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

5 calls:

4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms
a
3.0ms
b
3.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
r
Results
AccuracySegmentsBranch
50.5%1r
50.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
50.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
50.5%1a
50.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes15.0ms (0.2%)

Memory
-15.4MiB live, 32.1MiB allocated; 1ms collecting garbage
Accuracy

Total -15.9b remaining (-36.5%)

Threshold costs -15.9b (-36.5%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (* (/ (+ (/ (* (sin a) b) (cos a)) 1) (cos a)) b) (fma.f64 (*.f64 b b) a 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 #s(literal 1/2 binary64) (*.f64 b r)) a) a))))
#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 (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 (/.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)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 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

5 calls:

4.0ms
r
3.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
b
3.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms
a
Results
AccuracySegmentsBranch
32.1%1r
32.1%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
32.1%1a
32.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
32.1%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch86.0ms (1%)

Memory
11.4MiB live, 61.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
62.0ms
15.105001228209737
48.73354119730198
21.0ms
-90.36055746317703
-0.013018506443667357
Samples
54.0ms82×0valid
19.0ms126×1valid
Compiler

Compiled 607 to 439 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-sin: 52.0ms (77.5% of total)
ival-cos: 7.0ms (10.4% of total)
adjust: 3.0ms (4.5% of total)
ival-add: 2.0ms (3% of total)
ival-div: 2.0ms (3% of total)
ival-mult: 2.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
15.105001228209737
48.73354119730198
1.0ms
-90.36055746317703
-0.013018506443667357
Compiler

Compiled 647 to 463 computations (28.4% saved)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
15.105001228209737
48.73354119730198
1.0ms
-90.36055746317703
-0.013018506443667357
Compiler

Compiled 597 to 443 computations (25.8% saved)

bsearch48.0ms (0.5%)

Memory
14.2MiB live, 61.0MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.014453652058380197
15.105001228209737
15.0ms
-305.1731585215723
-90.36055746317703
Samples
28.0ms127×1valid
8.0ms81×0valid
Compiler

Compiled 597 to 469 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 14.0ms (48% of total)
ival-sin: 7.0ms (24% of total)
adjust: 3.0ms (10.3% of total)
ival-add: 2.0ms (6.9% of total)
ival-div: 2.0ms (6.9% of total)
ival-mult: 2.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.014454658637286589
0.03142412811868047
0.0ms
-0.04983696295588982
-0.014037181190043064
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04983696295588982
-0.014037181190043064
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify57.0ms (0.6%)

Memory
-9.6MiB live, 82.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110497
1175494
2288478
3544474
41028474
54289474
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 31/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(if (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 31/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(if (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 31/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -180 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 9/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (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 #s(approx (/ r (cos a)) r) b))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 31/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(if (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 31/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(if (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 31/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(if (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 31/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (or (<=.f64 b #s(literal -8286623314361713/72057594037927936 binary64)) (not (<=.f64 b #s(literal 31/2 binary64)))) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -180 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 9/2 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (or (<=.f64 b #s(literal -180 binary64)) (not (<=.f64 b #s(literal 9/2 binary64)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (or (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) (not (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))) #s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 b r) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) r) b))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 #s(approx (/ r (cos a)) r) b))

derivations588.0ms (6.6%)

Memory
39.0MiB live, 455.2MiB allocated; 91ms collecting garbage
Stop Event
fuel
Compiler

Compiled 557 to 111 computations (80.1% saved)

preprocess82.0ms (0.9%)

Memory
-7.5MiB live, 134.1MiB allocated; 13ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 1 292 to 358 computations (72.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...