rsin A (should all be same)

Time bar (total: 10.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze306.0ms (3%)

Memory
-3.6MiB live, 369.7MiB allocated
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)

sample1.6s (15.8%)

Memory
51.3MiB live, 1 792.6MiB allocated
Samples
1.1s5 885×1valid
168.0ms2 371×0valid
Precisions
Click to see histograms. Total time spent on operations: 998.0ms
ival-cos: 270.0ms (27.1% of total)
ival-sin: 251.0ms (25.2% of total)
ival-mult: 142.0ms (14.2% of total)
adjust: 134.0ms (13.4% of total)
ival-div: 96.0ms (9.6% of total)
ival-add: 94.0ms (9.4% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain476.0ms (4.7%)

Memory
-53.7MiB live, 227.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
89105(-2.021092756624715e+135 2.6157428911196876e+134 9.181749100902302e-244)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1941
Confusion
Predicted +Predicted -
+890
-10562
Precision
0.4587628865979381
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8900
-105161
Precision?
0.4564102564102564
Recall?
1.0
Freqs
test
numberfreq
062
1194
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms372×1valid
10.0ms140×0valid
Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-cos: 16.0ms (32.9% of total)
ival-sin: 12.0ms (24.7% of total)
adjust: 7.0ms (14.4% of total)
ival-add: 5.0ms (10.3% of total)
ival-div: 4.0ms (8.2% of total)
ival-mult: 4.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess148.0ms (1.4%)

Memory
-16.4MiB live, 126.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03790
110188
225088
357188
4100488
5198988
6400288
7738388
089
0139
1249
2429
3649
4769
5789
6929
71259
82309
95709
1015119
1133279
1267529
080249
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify105.0ms (1%)

Memory
51.1MiB live, 94.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
01325
12425
24225
36425
47625
57825
69225
712525
823025
957025
10151125
11332725
12675225
0802425
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a

localize80.0ms (0.8%)

Memory
-11.5MiB live, 94.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 b)
accuracy0.09375
(*.f64 r (sin.f64 b))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy18.840218118729904
(cos.f64 (+.f64 a b))
Samples
53.0ms186×1valid
5.0ms70×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
adjust: 21.0ms (44.7% of total)
ival-add: 8.0ms (17% of total)
ival-cos: 8.0ms (17% of total)
ival-sin: 6.0ms (12.8% of total)
ival-div: 2.0ms (4.3% of total)
ival-mult: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-17.2MiB live, 28.5MiB allocated
Counts
4 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
r
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms
r
@inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms
a
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms
b
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms
r
@-inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))

simplify205.0ms (2%)

Memory
25.9MiB live, 253.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167593
1569562
22016518
37405515
09145482
Stop Event
iter limit
node limit
Counts
32 → 31
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (/.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) r)) (cos.f64 b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (cos.f64 b))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))) (sin.f64 b))) (cos.f64 b)) (neg.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (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))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) r)) (cos.f64 a))) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b)
(* b r)
(*.f64 b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) r) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64))) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(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))
(sin b)
(sin.f64 b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite181.0ms (1.8%)

Memory
-15.5MiB live, 186.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14619
226619
3285319
0828619
Stop Event
iter limit
node limit
iter limit
Counts
4 → 155
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r)
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r))
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(*.f64 (sin.f64 b) r)
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b))))
(*.f64 r (sin.f64 b))
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))
(sin.f64 b)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 (/.f64 (*.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)))))
(fma.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))))))
(fma.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)))))))
(fma.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))))))
(fma.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))))))
(fma.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))))))
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(fma.f64 (sin.f64 (/.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))))))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (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)))
(fma.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (PI.f64)))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a)))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(-.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.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 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(-.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)))))
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (PI.f64))) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.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 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (sin.f64 (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 (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 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (sin.f64 a)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (neg.f64 (neg.f64 (sin.f64 b)))))
(-.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)) b) a) (/.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)) b) a)) (/.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 a) b)))
(cos.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.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 (+.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)) b) a) (/.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)) b) a) (/.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 (neg.f64 (+.f64 a b)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (/.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 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))) (*.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 (neg.f64 (sin.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) (neg.f64 (sin.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)))

eval42.0ms (0.4%)

Memory
-0.8MiB live, 55.4MiB allocated
Compiler

Compiled 4 641 to 744 computations (84% saved)

prune25.0ms (0.2%)

Memory
-17.9MiB live, 29.1MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New15824182
Fresh000
Picked101
Done000
Total15924183
Accuracy
99.8%
Counts
183 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
70.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
37.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
37.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
49.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
51.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
52.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
53.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
49.8%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
49.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
49.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
72.7%
(*.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))))
70.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
70.6%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
70.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
49.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b))
49.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
52.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
Compiler

Compiled 1 048 to 680 computations (35.1% saved)

simplify193.0ms (1.9%)

Memory
4.4MiB live, 95.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
cost-diff0
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
cost-diff0
(+.f64 a b)
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(/.f64 r (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031209
055209
1111209
2197209
3390209
4873209
52139209
64684209
08083209
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(neg.f64 (sin.f64 b))
a
(cos.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(*.f64 r (sin.f64 b))
r
(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)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 (sin.f64 b))
a
(cos.f64 b)
(/.f64 (*.f64 r (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 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 a))
(sin.f64 a)

localize254.0ms (2.5%)

Memory
-6.7MiB live, 184.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(*.f64 r (sin.f64 b))
accuracy0.15691376953688402
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy0.2109375
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
accuracy0.06640625
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
accuracy0.09375
(*.f64 r (sin.f64 b))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
accuracy35.07584470251783
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
accuracy0.0
(sin.f64 b)
accuracy0.18359375
(/.f64 r (cos.f64 (+.f64 a b)))
accuracy0.205410009768442
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
accuracy18.840218118729904
(cos.f64 (+.f64 a b))
accuracy0.00390625
(cos.f64 a)
accuracy0.08203125
(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy0.12109375
(/.f64 r (cos.f64 a))
accuracy32.04700684088413
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy0.09375
(*.f64 r (sin.f64 b))
accuracy0.12337875976844202
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.125
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
215.0ms186×1valid
15.0ms70×0valid
Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-mult: 106.0ms (54.5% of total)
ival-cos: 26.0ms (13.4% of total)
adjust: 24.0ms (12.3% of total)
ival-sin: 16.0ms (8.2% of total)
ival-div: 11.0ms (5.7% of total)
ival-add: 7.0ms (3.6% of total)
ival-neg: 3.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (0.7%)

Memory
17.1MiB live, 70.3MiB allocated
Counts
19 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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)))
(*.f64 (cos.f64 b) (cos.f64 a))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ 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))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* 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)))
(+ (* 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)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
b
(+ a b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* 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)))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* (cos a) (cos b))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(sin b)
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Calls

9 calls:

TimeVariablePointExpression
30.0ms
a
@0
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b)))
6.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b)))
5.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b)))
4.0ms
a
@inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b)))
4.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (* (neg (sin a)) (sin b)))

simplify260.0ms (2.6%)

Memory
2.7MiB live, 227.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03991562
114491464
258641444
082141339
Stop Event
iter limit
node limit
Counts
87 → 84
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ 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))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* 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)))
(+ (* 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)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
b
(+ a b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* 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)))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* (cos a) (cos b))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(sin b)
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos 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))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (fma.f64 (*.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))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (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))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* 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))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(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))
(+ (* 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)))))
(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 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r))
r
(+ r (* 1/2 (* (pow a 2) r)))
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(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)
(+ 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))))
(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 #s(literal 5/24 binary64) r)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b))
(+ (* 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)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 a) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 b)))) a (/.f64 r (cos.f64 b)))
(+ (* 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)))
(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 (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 b))))) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 b))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (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))
b
(+ a b)
(+.f64 a b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))
(* -1 (* a (sin b)))
(*.f64 (neg.f64 a) (sin.f64 b))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (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)
(* 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)))))))))
(*.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)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(cos a)
(cos.f64 a)
(cos (+ a b))
(cos.f64 (+.f64 a b))
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 b) (/.f64 (cos.f64 b) a)) a)
(* -1 (* (sin a) (sin b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64)) (neg.f64 a))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 b) (/.f64 (cos.f64 b) a)) a)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (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 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (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)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a))
(+ (* 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)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (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 r (cos.f64 a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 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)))) b (*.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 r (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)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(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))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.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))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)))))
(+ 1 (* -1 (* a b)))
(fma.f64 (neg.f64 b) a #s(literal 1 binary64))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64))
(* -1 (* b (sin a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(*.f64 (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 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) b)
(sin b)
(sin.f64 b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))

rewrite177.0ms (1.7%)

Memory
-15.9MiB live, 180.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031157
055129
1184129
21205129
08128129
Stop Event
iter limit
node limit
iter limit
Counts
19 → 601
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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)))
(*.f64 (cos.f64 b) (cos.f64 a))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
Outputs
(*.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 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (*.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 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 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #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 (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))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (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))) (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 (fma.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64))
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(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) a)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (neg.f64 (+.f64 (PI.f64) a)))) (cos.f64 (+.f64 (neg.f64 b) (neg.f64 (+.f64 (PI.f64) a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (+.f64 (neg.f64 a) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 b) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (+.f64 (+.f64 (PI.f64) a) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 b) (+.f64 (+.f64 (PI.f64) a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (neg.f64 (+.f64 (PI.f64) a)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (neg.f64 (+.f64 (PI.f64) a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (neg.f64 (neg.f64 a)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (+.f64 (neg.f64 a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (+.f64 (neg.f64 a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (PI.f64) a) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (PI.f64) b) (+.f64 (+.f64 (PI.f64) a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)) (cos.f64 (+.f64 (+.f64 (PI.f64) b) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (neg.f64 b))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) a)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (PI.f64) b))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (PI.f64)) (+.f64 (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a (+.f64 (PI.f64) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 b (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))

eval83.0ms (0.8%)

Memory
-10.3MiB live, 145.2MiB allocated
Compiler

Compiled 12 820 to 2 021 computations (84.2% saved)

prune55.0ms (0.5%)

Memory
29.7MiB live, 122.3MiB allocated
Pruning

44 alts after pruning (39 fresh and 5 done)

PrunedKeptTotal
New43430464
Fresh10919
Picked055
Done000
Total44444488
Accuracy
99.9%
Counts
488 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
50.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 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)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
59.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (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)))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
37.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
37.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
51.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
52.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
48.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64))))))
53.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
31.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
31.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
49.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
49.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
72.7%
(*.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))))
70.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
70.5%
(*.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))))
70.6%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
16.0%
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b))
70.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
56.5%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
72.1%
(*.f64 (*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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)))) (sin.f64 b))
70.5%
(*.f64 (*.f64 (/.f64 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)))) (sin.f64 b))
70.5%
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
52.2%
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
49.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
33.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
32.5%
#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))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
31.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
30.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
31.1%
#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))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
31.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 1 954 to 1 298 computations (33.6% saved)

simplify174.0ms (1.7%)

Memory
-16.3MiB live, 125.6MiB allocated
Algorithm
egg-herbie
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 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
cost-diff4
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
cost-diff0
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
cost-diff0
(*.f64 b r)
cost-diff0
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
cost-diff0
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050291
082289
1150270
2278270
3542270
4949270
52408270
67039270
08178270
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
b
r
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) b (neg.f64 a))
#s(literal -1/2 binary64)
(neg.f64 a)
a
#s(literal 1 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
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 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.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 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
b
r
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) b (neg.f64 a))
#s(literal -1/2 binary64)
(neg.f64 a)
a
#s(literal 1 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(cos.f64 (+.f64 a b))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
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) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (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)))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))
(cos.f64 (-.f64 b a))
(-.f64 b a)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)

localize251.0ms (2.5%)

Memory
35.9MiB live, 312.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.28744125976844204
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
accuracy0.3203125
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy18.703777009120063
(cos.f64 (-.f64 b a))
accuracy18.840218118729904
(cos.f64 (+.f64 a b))
accuracy0.015625
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
accuracy0.09375
(*.f64 r (sin.f64 b))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
accuracy42.974836892484745
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
accuracy0.09375
(*.f64 r (sin.f64 b))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
accuracy31.81575017813509
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
accuracy35.07584470251783
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))
accuracy0.0
(*.f64 b r)
accuracy28.128570541820203
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy32.04700684088413
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy0.125
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.12566376953688402
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy0.2109375
(*.f64 (sin.f64 a) (sin.f64 b))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Samples
191.0ms192×1valid
25.0ms64×0valid
Compiler

Compiled 236 to 43 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-cos: 39.0ms (21.8% of total)
ival-mult: 38.0ms (21.3% of total)
ival-add: 36.0ms (20.1% of total)
ival-sin: 27.0ms (15.1% of total)
adjust: 15.0ms (8.4% of total)
ival-div: 14.0ms (7.8% of total)
ival-sub: 4.0ms (2.2% of total)
ival-neg: 3.0ms (1.7% of total)
ival-pi: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory
-14.9MiB live, 90.1MiB allocated
Counts
21 → 118
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b a))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(sin (+ b (* 1/2 (PI))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(/ (* r (sin b)) (pow (cos b) 2))
(+ (* -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)))
(+ (* 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)))
(+ (* 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)))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(+ (cos b) (* a (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(pow (cos b) 2)
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* 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))
(+ (* 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))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos (+ a b))
(sin (+ a (+ b (* 1/2 (PI)))))
(* (sin a) (sin b))
(* (cos a) (cos b))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(cos (- b a))
(* (cos (+ a b)) (cos (- b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(sin (- (+ b (* 1/2 (PI))) (* -1 a)))
(/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(cos (+ b (* -1 a)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(sin (+ a (* 1/2 (PI))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))
(/ (* b r) (sin (+ a (* 1/2 (PI)))))
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(/ (* b r) (* (cos a) (cos (neg a))))
(* 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))))))
(* 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))))))
(* 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))))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(* 1/2 (PI))
(+ b (* 1/2 (PI)))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* 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))))
(+ (* 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))))
(sin b)
(* b (+ 1 (* 1/2 (/ (PI) b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(sin (- (+ a (* 1/2 (PI))) (* -1 b)))
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))
(cos (neg (+ a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
10.0ms
r
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
6.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
5.0ms
b
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
5.0ms
a
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (sin a) (sin b)) (* (cos b) (cos a)) (+ (* (neg (sin b)) a) (cos b)) (+ (/ (PI) 2) b) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))

simplify200.0ms (2%)

Memory
-2.8MiB live, 230.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06062997
122942613
088732404
Stop Event
iter limit
node limit
Counts
118 → 117
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(sin (+ b (* 1/2 (PI))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(/ (* r (sin b)) (pow (cos b) 2))
(+ (* -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)))
(+ (* 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)))
(+ (* 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)))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(+ (cos b) (* a (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(pow (cos b) 2)
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* 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))
(+ (* 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))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos (+ a b))
(sin (+ a (+ b (* 1/2 (PI)))))
(* (sin a) (sin b))
(* (cos a) (cos b))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(cos (- b a))
(* (cos (+ a b)) (cos (- b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(sin (- (+ b (* 1/2 (PI))) (* -1 a)))
(/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(cos (+ b (* -1 a)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(sin (+ a (* 1/2 (PI))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))
(/ (* b r) (sin (+ a (* 1/2 (PI)))))
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(/ (* b r) (* (cos a) (cos (neg a))))
(* 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))))))
(* 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))))))
(* 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))))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(* 1/2 (PI))
(+ b (* 1/2 (PI)))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* 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))))
(+ (* 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))))
(sin b)
(* b (+ 1 (* 1/2 (/ (PI) b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(sin (- (+ a (* 1/2 (PI))) (* -1 b)))
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))
(cos (neg (+ a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b r)
(*.f64 b r)
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (/.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)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.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)))) (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 (*.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)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (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))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) r)) (*.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(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 (*.f64 #s(literal 1/2 binary64) b) r)) (*.f64 a a) (*.f64 b r))
(sin (+ b (* 1/2 (PI))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))
(fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal -1/2 binary64))) a (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (/.f64 (*.f64 (neg.f64 a) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (sin.f64 b) r))) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) (*.f64 (neg.f64 r) (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (neg.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (*.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) a (*.f64 (neg.f64 r) (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
(/ (* r (sin b)) (pow (cos b) 2))
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 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)))
(fma.f64 (*.f64 a r) (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 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)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 r (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 6 binary64))) (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) (*.f64 (neg.f64 r) (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 4 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
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(*.f64 (fma.f64 (neg.f64 b) (*.f64 r (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b)
(* 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))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64)))))) b (*.f64 (neg.f64 r) (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))))) b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b)
(* 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))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) (pow.f64 (cos.f64 a) #s(literal 6 binary64))) (fma.f64 r (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (+.f64 (neg.f64 (sin.f64 a)) (sin.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64)))))) (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) r) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 6 binary64))))))) b (*.f64 (neg.f64 r) (/.f64 (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 4 binary64))))) b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b)
(* b (sin a))
(*.f64 (sin.f64 a) b)
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b)
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) (sin.f64 a))) (*.f64 b b) (sin.f64 a)) b)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.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))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 (*.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))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* a b)))
(fma.f64 (neg.f64 a) b #s(literal 1 binary64))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+ b (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) b)
(cos (neg a))
(cos.f64 a)
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(fma.f64 (neg.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (neg.f64 (sin.f64 a))) b (cos.f64 a))
(* (cos a) (cos (neg a)))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(fma.f64 (neg.f64 b) (*.f64 (cos.f64 a) (+.f64 (neg.f64 (sin.f64 a)) (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 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))))
(fma.f64 (fma.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))) (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) b)) b (pow.f64 (cos.f64 a) #s(literal 2 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))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 a)) (+.f64 (neg.f64 (sin.f64 a)) (sin.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) b (-.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b (*.f64 (neg.f64 (cos.f64 a)) (+.f64 (sin.f64 a) (neg.f64 (sin.f64 a))))) b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin b)
(sin.f64 b)
(* b (+ 1 (* 1/2 (/ (PI) b))))
(*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) #s(literal 1 binary64)) b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(sin (- (+ a (* 1/2 (PI))) (* -1 b)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))
(* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))

rewrite194.0ms (1.9%)

Memory
-7.6MiB live, 187.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050222
082190
1295187
22195187
08128187
Stop Event
iter limit
node limit
iter limit
Counts
21 → 497
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b a))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
Outputs
(*.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 (cos.f64 (-.f64 a b)) (*.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 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))
(*.f64 (cos.f64 (-.f64 a b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) (/.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (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))))
(/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a 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)))))
(fma.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))))
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (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 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
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(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 a b))) (cos.f64 (-.f64 (-.f64 a b) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (neg.f64 (neg.f64 (+.f64 a b))))) (cos.f64 (-.f64 (-.f64 b a) (neg.f64 (neg.f64 (+.f64 a b)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 b a) (-.f64 (neg.f64 b) a))) (cos.f64 (-.f64 (-.f64 b a) (-.f64 (neg.f64 b) a)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (*.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))) (cos.f64 (-.f64 a b))) (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 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (-.f64 b a)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #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 (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 (-.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.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 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(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 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))
(+.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 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a 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 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (neg.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

eval92.0ms (0.9%)

Memory
-11.8MiB live, 174.4MiB allocated
Compiler

Compiled 15 915 to 2 407 computations (84.9% saved)

prune132.0ms (1.3%)

Memory
9.8MiB live, 156.2MiB allocated
Pruning

66 alts after pruning (58 fresh and 8 done)

PrunedKeptTotal
New48632518
Fresh82634
Picked235
Done055
Total49666562
Accuracy
99.9%
Counts
562 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
50.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 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)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
59.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (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)))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
37.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
37.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
51.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
52.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
53.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
36.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
36.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
48.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64))))))
31.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
31.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
30.4%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
30.5%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
30.7%
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
30.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
49.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
30.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
30.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
49.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
36.7%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
36.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
38.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
37.7%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
38.3%
(*.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)))
36.6%
(*.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)) b) a)))
37.8%
(*.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)))
53.2%
(*.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 a)))
70.5%
(*.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))))
54.2%
(*.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)))
55.0%
(*.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)))
70.8%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.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))
70.6%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
16.0%
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b))
70.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
70.5%
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 b a)))
70.5%
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
70.5%
(*.f64 (*.f64 (/.f64 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)))) (sin.f64 b))
70.5%
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
70.5%
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
52.2%
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
33.0%
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
49.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
32.5%
#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))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
31.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
30.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
31.1%
#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))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
31.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 3 267 to 2 174 computations (33.5% saved)

simplify228.0ms (2.2%)

Memory
-15.3MiB live, 177.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.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))))
cost-diff0
(*.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)))
cost-diff4
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
cost-diff0
(*.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)))
cost-diff0
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
cost-diff0
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff0
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
cost-diff0
#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))
cost-diff1
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))
cost-diff2
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
cost-diff2
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)))
cost-diff3
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069580
0117580
1230573
2640544
32560537
46456537
08038530
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
a
#s(literal 3 binary64)
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))
(*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))
(neg.f64 (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))
(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))
(*.f64 (sin.f64 a) (sin.f64 b))
#s(literal 2 binary64)
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
#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))
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
r
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal -1/2 binary64)
#s(literal 1 binary64)
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) a #s(literal 1 binary64))
(neg.f64 b)
a
#s(literal 1 binary64)
(*.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 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
a
#s(literal 2 binary64)
(cos.f64 (-.f64 b a))
(-.f64 b a)
(*.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 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)
(cos.f64 (-.f64 b a))
(-.f64 b a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (sin.f64 b) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)))
(-.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)))
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64))
(pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(neg.f64 (sin.f64 b))
(sin.f64 a)
a
#s(literal 3 binary64)
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 a) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))
(*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))
(*.f64 (cos.f64 a) (neg.f64 (cos.f64 b)))
(neg.f64 (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))
(*.f64 (sin.f64 a) (sin.f64 b))
#s(literal 2 binary64)
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))
(*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (fma.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 (cos.f64 a) (cos.f64 b))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(*.f64 (*.f64 (*.f64 (cos.f64 a) (sin.f64 a)) (cos.f64 b)) (sin.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
(/.f64 (*.f64 b r) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
r
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal -1/2 binary64)
#s(literal 1 binary64)
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) a #s(literal 1 binary64))
(neg.f64 b)
a
#s(literal 1 binary64)
(*.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 (cos.f64 (-.f64 b a)) r) (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
a
#s(literal 2 binary64)
(cos.f64 (-.f64 b a))
(-.f64 b a)
(*.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 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
(/.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))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(cos.f64 (-.f64 a b))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)
(cos.f64 (-.f64 b a))
(-.f64 b a)

localize335.0ms (3.3%)

Memory
31.3MiB live, 597.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3203125
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))
accuracy18.703777009120063
(cos.f64 (-.f64 b a))
accuracy18.840218118729904
(cos.f64 (+.f64 a b))
accuracy42.71070792892387
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
accuracy0.2578125
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy0.28744125976844204
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
accuracy18.703777009120063
(cos.f64 (-.f64 b a))
accuracy28.682554411846098
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
accuracy0.09375
(*.f64 r (sin.f64 b))
accuracy0.26400375976844204
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
accuracy31.634070688059932
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))
accuracy35.07584470251783
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))
accuracy0.08203125
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
accuracy0.12109375
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy32.04700684088413
#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))
accuracy35.694520870309425
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy0.29525375976844204
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
accuracy0.3447838379159782
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64))
accuracy0.3515625
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))
accuracy0.47081767583195644
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))
Samples
239.0ms192×1valid
32.0ms64×0valid
Compiler

Compiled 498 to 58 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-mult: 59.0ms (26.3% of total)
ival-cos: 35.0ms (15.6% of total)
ival-sin: 34.0ms (15.2% of total)
ival-div: 21.0ms (9.4% of total)
adjust: 20.0ms (8.9% of total)
ival-add: 15.0ms (6.7% of total)
ival-pow: 15.0ms (6.7% of total)
ival-pow2: 12.0ms (5.4% of total)
ival-sub: 6.0ms (2.7% of total)
ival-neg: 5.0ms (2.2% of total)
ival-pi: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series162.0ms (1.6%)

Memory
4.7MiB live, 162.0MiB allocated
Counts
28 → 190
Calls
Call 1
Inputs
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))
#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))
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))
(*.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 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (sin.f64 b) r)
(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 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(cos.f64 (-.f64 b a))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 (+.f64 a b))
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(* r (sin b))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (* (cos (- b a)) (sin b))) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))))
(/ (* r (sin b)) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))))
(pow (cos b) 2)
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* a (pow (cos b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* (cos b) (sin b)))) (pow (cos b) 2))
(pow (cos b) 3)
(- (* -3/2 (* (pow a 2) (pow (cos b) 3))) (* -1 (pow (cos b) 3)))
(- (* (pow a 2) (- (* -1 (* a (pow (sin b) 3))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3)))
(- (* (pow a 2) (- (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3)))
(* a (* (cos b) (sin b)))
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b)))))))
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (* 1/12 (* (cos b) (sin b)))))))))))
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (+ (* 1/12 (* (cos b) (sin b))) (* (pow a 2) (+ (* -1/144 (* (cos b) (sin b))) (+ (* -1/240 (* (cos b) (sin b))) (+ (* -1/720 (* (cos b) (sin b))) (* -1/5040 (* (cos b) (sin b))))))))))))))))
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* (cos b) (sin b)))) (pow (cos b) 2))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ 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))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(/ (* r (sin b)) (pow (cos b) 2))
(+ (* -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)))
(+ (* 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)))
(+ (* 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)))
(sin (- (* 1/2 (PI)) b))
(+ (sin (- (* 1/2 (PI)) b)) (* a (cos (- (* 1/2 (PI)) b))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (cos (- (* 1/2 (PI)) b)) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (cos (- (* 1/2 (PI)) b)) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* -1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
(+ (* a (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (+ (* a (- (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (- (* 1/2 (PI)) b)))) (* -1 (* (cos (- (* 1/2 (PI)) b)) (sin b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))) (- (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b)))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (* (cos b) (sin (- (* 1/2 (PI)) b))))))) (/ (* r (pow (sin b) 2)) (* (cos b) (sin (- (* 1/2 (PI)) b))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (- (* 1/2 (PI)) b)))) (* (cos b) (cos (- (* 1/2 (PI)) b)))))) (* (cos b) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
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(* b (+ (* b (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))
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(* b (+ (* b (- (+ (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (* b (- (+ (* b (- (* 1/3 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI))))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (/ (* (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(/ (* b r) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* -1 (pow (cos a) 3))
(+ (* -1 (pow (cos a) 3)) (* 3/2 (* (pow b 2) (pow (cos a) 3))))
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (* (pow b 2) (pow (cos a) 3))) (* 3/2 (pow (cos a) 3)))))
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* 3/2 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (pow (cos a) 3)) (* 61/240 (* (pow b 2) (pow (cos a) 3))))))))
(+ (* -1 (* (pow b 2) (pow (cos a) 2))) (pow (cos a) 2))
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* 1/3 (* (pow b 2) (pow (cos a) 2))))) (pow (cos a) 2))
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* (pow b 2) (+ (* -2/45 (* (pow b 2) (pow (cos a) 2))) (* 1/3 (pow (cos a) 2)))))) (pow (cos a) 2))
(* -1 (* (pow b 3) (pow (sin a) 3)))
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* 1/2 (* (pow b 2) (pow (sin a) 3)))))
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (* (pow b 2) (pow (sin a) 3))) (* 1/2 (pow (sin a) 3))))))
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* 1/2 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (pow (sin a) 3)) (* 41/3024 (* (pow b 2) (pow (sin a) 3)))))))))
(+ (cos a) (* b (- (* b (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a))))
(+ (cos a) (* b (- (* b (- (+ (* -3/2 (cos a)) (* b (- (* -1 (/ (pow (sin a) 3) (pow (cos a) 2))) (+ (* -1 (/ (* (sin a) (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (pow (cos a) 2))) (+ (* -1/2 (sin a)) (+ (* -1/6 (sin a)) (/ (* (sin a) (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (cos a)))))))) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a))))
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* 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))))
(+ (* 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))))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(* (cos a) (sin (+ a (* 1/2 (PI)))))
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (* b (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(sin (+ a (+ (* -1 b) (* 1/2 (PI)))))
(/ (* r (* (cos (neg (+ a (* -1 b)))) (sin b))) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))))
(/ (* r (sin b)) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))
Calls

9 calls:

TimeVariablePointExpression
71.0ms
b
@-inf
((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))))
24.0ms
b
@0
((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))))
12.0ms
a
@-inf
((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))))
12.0ms
a
@0
((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))))
10.0ms
a
@inf
((+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (sin (- (+ (/ (PI) 2) a) b)) (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (pow (* (neg (cos b)) (cos a)) 3) (pow (* (cos a) (cos b)) 2) (pow (* (neg (sin b)) (sin a)) 3) (/ (- (pow (* (neg (sin b)) (sin a)) 3) (pow (* (neg (cos b)) (cos a)) 3)) (+ (pow (* (sin a) (sin b)) 2) (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))))) (+ (* (neg (sin b)) a) (cos b)) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2) (cos (+ a b)) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))))

simplify210.0ms (2.1%)

Memory
18.6MiB live, 291.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010927249
142477018
083506564
Stop Event
iter limit
node limit
Counts
190 → 188
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(* r (sin b))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (* (cos (- b a)) (sin b))) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))))
(/ (* r (sin b)) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))))
(pow (cos b) 2)
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* a (pow (cos b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* (cos b) (sin b)))) (pow (cos b) 2))
(pow (cos b) 3)
(- (* -3/2 (* (pow a 2) (pow (cos b) 3))) (* -1 (pow (cos b) 3)))
(- (* (pow a 2) (- (* -1 (* a (pow (sin b) 3))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3)))
(- (* (pow a 2) (- (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3)))
(* a (* (cos b) (sin b)))
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b)))))))
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (* 1/12 (* (cos b) (sin b)))))))))))
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(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2))
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(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
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r
(+ r (* 1/2 (* (pow a 2) r)))
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1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos b)
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(/ (* r (sin b)) (pow (cos b) 2))
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(sin (- (* 1/2 (PI)) b))
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(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
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(/ (* r (sin b)) (* (cos b) (sin (- (* 1/2 (PI)) b))))
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(* -1 (pow (cos b) 3))
(+ (* -1 (pow (cos b) 3)) (* 3/2 (* (pow a 2) (pow (cos b) 3))))
(+ (* -1 (pow (cos b) 3)) (* (pow a 2) (+ (* -7/8 (* (pow a 2) (pow (cos b) 3))) (* 3/2 (pow (cos b) 3)))))
(+ (* -1 (pow (cos b) 3)) (* (pow a 2) (+ (* 3/2 (pow (cos b) 3)) (* (pow a 2) (+ (* -7/8 (pow (cos b) 3)) (* 61/240 (* (pow a 2) (pow (cos b) 3))))))))
(+ (* -1 (* (pow a 2) (pow (cos b) 2))) (pow (cos b) 2))
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* 1/3 (* (pow a 2) (pow (cos b) 2))))) (pow (cos b) 2))
(+ (* (pow a 2) (+ (* -1 (pow (cos b) 2)) (* (pow a 2) (+ (* -2/45 (* (pow a 2) (pow (cos b) 2))) (* 1/3 (pow (cos b) 2)))))) (pow (cos b) 2))
(* -1 (* (pow a 3) (pow (sin b) 3)))
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* 1/2 (* (pow a 2) (pow (sin b) 3)))))
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (* (pow a 2) (pow (sin b) 3))) (* 1/2 (pow (sin b) 3))))))
(* (pow a 3) (+ (* -1 (pow (sin b) 3)) (* (pow a 2) (+ (* 1/2 (pow (sin b) 3)) (* (pow a 2) (+ (* -13/120 (pow (sin b) 3)) (* 41/3024 (* (pow a 2) (pow (sin b) 3)))))))))
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(+ (cos b) (* a (sin b)))
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(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(* (cos b) (sin (- (* 1/2 (PI)) b)))
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(+ (* (cos a) (* (cos b) (* (sin a) (sin b)))) (* (pow (cos a) 2) (pow (cos b) 2)))
(- (* -1 (* (pow (sin a) 3) (pow (sin b) 3))) (* -1 (* (pow (cos a) 3) (pow (cos b) 3))))
(* (cos a) (* (cos b) (* (sin a) (sin b))))
(+ (* (cos a) (* (cos b) (* (sin a) (sin b)))) (+ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow (sin a) 2) (pow (sin b) 2))))
(cos a)
(cos (+ a b))
(sin (- (+ a (* 1/2 (PI))) b))
(* -1 (* (pow (cos a) 3) (pow (cos b) 3)))
(* (pow (cos a) 2) (pow (cos b) 2))
(* -1 (* (pow (sin a) 3) (pow (sin b) 3)))
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(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(* (cos (+ a b)) (cos (- b a)))
(cos (- b a))
(pow (cos a) 2)
(* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(sin (- (* 1/2 (PI)) (+ b (* -1 a))))
(/ (* r (* (cos (+ b (* -1 a))) (sin b))) (* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a))))))
(/ (* r (sin b)) (* (cos (- b (* -1 a))) (sin (- (* 1/2 (PI)) (+ b (* -1 a))))))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(cos (+ b (* -1 a)))
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(pow (cos a) 3)
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(- (* (pow b 2) (- (* -1 (* b (pow (sin a) 3))) (* 3/2 (pow (cos a) 3)))) (* -1 (pow (cos a) 3)))
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(* b (* (cos a) (sin a)))
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(* b (+ (* (cos a) (sin a)) (* (pow b 2) (+ (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))) (* (pow b 2) (* (cos a) (+ (* 1/120 (sin a)) (+ (* 1/24 (sin a)) (* 1/12 (sin a))))))))))
(* b (+ (* (cos a) (sin a)) (* (pow b 2) (+ (* (cos a) (+ (* -1/2 (sin a)) (* -1/6 (sin a)))) (* (pow b 2) (+ (* (cos a) (+ (* 1/120 (sin a)) (+ (* 1/24 (sin a)) (* 1/12 (sin a))))) (* (pow b 2) (* (cos a) (+ (* -1/144 (sin a)) (+ (* -1/240 (sin a)) (+ (* -1/720 (sin a)) (* -1/5040 (sin a)))))))))))))
(+ (* b (+ (* b (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (* (cos a) (sin a)))) (pow (cos a) 2))
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(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
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(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* b r) (* (cos a) (cos (neg a))))
(* 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))))))
(* 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))))))
(* 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))))))
(sin (+ a (* 1/2 (PI))))
(+ (sin (+ a (* 1/2 (PI)))) (* -1 (* b (cos (+ a (* 1/2 (PI)))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (* -1 (cos (+ a (* 1/2 (PI))))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (* -1 (cos (+ a (* 1/2 (PI))))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* 1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))
(/ (* b (* r (cos (neg a)))) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(* b (+ (* b (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* b (+ (* b (- (+ (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (* b (- (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* b (+ (* b (- (+ (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (* b (- (+ (* b (- (* 1/3 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI))))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))) (/ (* (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (+ (* -1/2 (cos (neg a))) (* -1/6 (cos (neg a))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1 (/ (* r (sin (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (/ (* r (* (cos (neg a)) (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ (* r (cos (neg a))) (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(/ (* b r) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) (- (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (* (cos a) (sin (+ a (* 1/2 (PI)))))))))) (* -1/6 (/ r (* (cos a) (sin (+ a (* 1/2 (PI)))))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI))))))) 2)) (* (pow (cos a) 3) (pow (sin (+ a (* 1/2 (PI)))) 3)))) (/ (* r (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2)))))) (/ (* r (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (pow (cos a) 2) (pow (sin (+ a (* 1/2 (PI)))) 2))))) (/ r (* (cos a) (sin (+ a (* 1/2 (PI))))))))
(* -1 (pow (cos a) 3))
(+ (* -1 (pow (cos a) 3)) (* 3/2 (* (pow b 2) (pow (cos a) 3))))
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (* (pow b 2) (pow (cos a) 3))) (* 3/2 (pow (cos a) 3)))))
(+ (* -1 (pow (cos a) 3)) (* (pow b 2) (+ (* 3/2 (pow (cos a) 3)) (* (pow b 2) (+ (* -7/8 (pow (cos a) 3)) (* 61/240 (* (pow b 2) (pow (cos a) 3))))))))
(+ (* -1 (* (pow b 2) (pow (cos a) 2))) (pow (cos a) 2))
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* 1/3 (* (pow b 2) (pow (cos a) 2))))) (pow (cos a) 2))
(+ (* (pow b 2) (+ (* -1 (pow (cos a) 2)) (* (pow b 2) (+ (* -2/45 (* (pow b 2) (pow (cos a) 2))) (* 1/3 (pow (cos a) 2)))))) (pow (cos a) 2))
(* -1 (* (pow b 3) (pow (sin a) 3)))
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* 1/2 (* (pow b 2) (pow (sin a) 3)))))
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (* (pow b 2) (pow (sin a) 3))) (* 1/2 (pow (sin a) 3))))))
(* (pow b 3) (+ (* -1 (pow (sin a) 3)) (* (pow b 2) (+ (* 1/2 (pow (sin a) 3)) (* (pow b 2) (+ (* -13/120 (pow (sin a) 3)) (* 41/3024 (* (pow b 2) (pow (sin a) 3)))))))))
(+ (cos a) (* b (- (* b (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a))))
(+ (cos a) (* b (- (* b (- (+ (* -3/2 (cos a)) (* b (- (* -1 (/ (pow (sin a) 3) (pow (cos a) 2))) (+ (* -1 (/ (* (sin a) (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))) (pow (cos a) 2))) (+ (* -1/2 (sin a)) (+ (* -1/6 (sin a)) (/ (* (sin a) (- (* -3/2 (cos a)) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (cos a)))))))) (+ (* -1 (cos a)) (+ (* -1 (/ (pow (sin a) 2) (cos a))) (/ (pow (sin a) 2) (cos a)))))) (sin a))))
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* 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))))
(+ (* 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))))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(* (cos a) (sin (+ a (* 1/2 (PI)))))
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (* (cos (+ a (* 1/2 (PI)))) (sin a))))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(+ (* b (+ (* -1 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* -1 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (* b (+ (* -1 (* (cos a) (sin (+ a (* 1/2 (PI)))))) (+ (* b (+ (* 1/6 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (+ (* 1/6 (* (sin a) (sin (+ a (* 1/2 (PI)))))) (+ (* 1/2 (* (cos a) (cos (+ a (* 1/2 (PI)))))) (* 1/2 (* (sin a) (sin (+ a (* 1/2 (PI)))))))))) (* (cos (+ a (* 1/2 (PI)))) (sin a)))))))) (* (cos a) (sin (+ a (* 1/2 (PI))))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(sin (+ a (+ (* -1 b) (* 1/2 (PI)))))
(/ (* r (* (cos (neg (+ a (* -1 b)))) (sin b))) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))))
(/ (* r (sin b)) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 b a)))
(/ (* r (* (cos (- b a)) (sin b))) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))))
(*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (sin (- (+ a (* 1/2 (PI))) b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))
(pow (cos b) 2)
(pow.f64 (cos.f64 b) #s(literal 2 binary64))
(+ (* a (* (cos b) (sin b))) (pow (cos b) 2))
(fma.f64 (*.f64 (cos.f64 b) a) (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* a (pow (cos b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2))
(fma.f64 (fma.f64 (neg.f64 a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))))) (* (cos b) (sin b)))) (pow (cos b) 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64)) a (neg.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(pow (cos b) 3)
(pow.f64 (cos.f64 b) #s(literal 3 binary64))
(- (* -3/2 (* (pow a 2) (pow (cos b) 3))) (* -1 (pow (cos b) 3)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a a)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))
(- (* (pow a 2) (- (* -1 (* a (pow (sin b) 3))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3)))
(fma.f64 (fma.f64 (neg.f64 a) (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 a a) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))
(- (* (pow a 2) (- (* a (+ (* -1 (pow (sin b) 3)) (* 7/8 (* a (pow (cos b) 3))))) (* 3/2 (pow (cos b) 3)))) (* -1 (pow (cos b) 3)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 7/8 binary64) a) (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 a a) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))
(* a (* (cos b) (sin b)))
(*.f64 (*.f64 (cos.f64 b) a) (sin.f64 b))
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b)))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64)) (*.f64 (cos.f64 b) (sin.f64 b))) a)
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (* 1/12 (* (cos b) (sin b)))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 b)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal 1/8 binary64))) (*.f64 a a))) (*.f64 a a) (*.f64 (cos.f64 b) (sin.f64 b))) a)
(* a (+ (* (cos b) (sin b)) (* (pow a 2) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (* (pow a 2) (+ (* 1/120 (* (cos b) (sin b))) (+ (* 1/24 (* (cos b) (sin b))) (+ (* 1/12 (* (cos b) (sin b))) (* (pow a 2) (+ (* -1/144 (* (cos b) (sin b))) (+ (* -1/240 (* (cos b) (sin b))) (+ (* -1/720 (* (cos b) (sin b))) (* -1/5040 (* (cos b) (sin b))))))))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -2/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 b)) (sin.f64 b) (fma.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal 1/8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/144 binary64) (cos.f64 b)) (sin.f64 b) (fma.f64 (*.f64 #s(literal -1/240 binary64) (cos.f64 b)) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/630 binary64)))) (*.f64 a a)))) (*.f64 a a))) (*.f64 a a) (*.f64 (cos.f64 b) (sin.f64 b))) a)
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))) (* (cos b) (sin b)))) (pow (cos b) 2))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) a (*.f64 (cos.f64 b) (sin.f64 b))) a (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* -1/2 (* (cos b) (sin b))) (* -1/6 (* (cos b) (sin b))))) (pow (sin b) 2)))) (* (cos b) (sin b)))) (pow (cos b) 2))
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(cos (- a (* -1 b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 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))))
(sin (+ a (+ (* -1 b) (* 1/2 (PI)))))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a))
(/ (* r (* (cos (neg (+ a (* -1 b)))) (sin b))) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))))
(*.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (sin.f64 b)) (cos.f64 (-.f64 a (neg.f64 b)))) (/.f64 r (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a))))
(/ (* r (sin b)) (* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI)))))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a)) (cos.f64 (-.f64 a (neg.f64 b)))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) b a)) (cos.f64 (-.f64 a (neg.f64 b))))
(cos (neg (+ a (* -1 b))))
(cos.f64 (fma.f64 #s(literal -1 binary64) b a))
(* (cos (- a (* -1 b))) (sin (+ a (+ (* -1 b) (* 1/2 (PI))))))
(*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a)) (cos.f64 (-.f64 a (neg.f64 b))))

rewrite242.0ms (2.4%)

Memory
-45.3MiB live, 253.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068404
0115357
1427340
23456326
08051325
Stop Event
iter limit
node limit
iter limit
Counts
28 → 706
Calls
Call 1
Inputs
(+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))
(-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))
#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))
(*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))
(*.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 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (sin.f64 b) r)
(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 (sin.f64 b) r) (*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b))))
(pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
#s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(cos.f64 (-.f64 b a))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 (+.f64 a b))
(*.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)) (cos.f64 (+.f64 a b)))
Outputs
(*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 (-.f64 (+.f64 (PI.f64) b) a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 a)) (neg.f64 (cos.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) #s(literal 3 binary64))) (+.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 b)) (cos.f64 a) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 a)) (cos.f64 b) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (cos.f64 b))) (cos.f64 a) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (cos.f64 a)) (neg.f64 (cos.f64 b)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (sin.f64 b))) (sin.f64 a) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (fabs.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (fabs.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (fabs.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (exp.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a)) (neg.f64 (sin.f64 b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (cos.f64 a) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cos.f64 b)) (*.f64 (cos.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (neg.f64 (cos.f64 b)) (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (sin.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sin.f64 b)) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (cos.f64 a) (*.f64 (cos.f64 a) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (cos.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))))
(fma.f64 (cos.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a))))) (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a))))))
(-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) (*.f64 (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (sin.f64 b) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a))))
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (cos.f64 a)))
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) (sin.f64 a))))
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 a)) (neg.f64 (cos.f64 b))))
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(*.f64 (fabs.f64 (cos.f64 a)) (fabs.f64 (cos.f64 a)))
(*.f64 (exp.f64 (log.f64 (cos.f64 a))) (exp.f64 (log.f64 (cos.f64 a))))
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(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (neg.f64 (-.f64 b a)))) (cos.f64 (-.f64 (+.f64 b a) (neg.f64 (-.f64 b a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 b a)))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 (/.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 b a)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)) #s(literal 2 binary64)) (/.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) #s(literal 2 binary64)))

eval454.0ms (4.5%)

Memory
6.1MiB live, 196.6MiB allocated
Compiler

Compiled 40 603 to 4 121 computations (89.9% saved)

prune149.0ms (1.5%)

Memory
7.8MiB live, 147.0MiB allocated
Pruning

89 alts after pruning (79 fresh and 10 done)

PrunedKeptTotal
New77740817
Fresh143953
Picked325
Done088
Total79489883
Accuracy
100.0%
Counts
883 → 89
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
70.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 (+.f64 b a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
50.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
51.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 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)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
59.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 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 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
86.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
57.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.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)) #s(approx (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(approx (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (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 (sin.f64 a) (sin.f64 b)))))))
22.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))) (sin.f64 a)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
37.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
37.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
51.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
52.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
53.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
36.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
36.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
31.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
31.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
30.3%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
30.5%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
30.6%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
30.7%
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
30.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
49.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
30.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
30.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
30.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
49.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
37.7%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
71.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
36.9%
(*.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)))) #s(approx (cos (- b a)) (cos.f64 a)))
36.6%
(*.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)) b) a)))
37.8%
(*.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)))
53.2%
(*.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 a)))
70.5%
(*.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))))
36.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
37.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
38.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
38.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
54.2%
(*.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)))
53.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
35.7%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
37.1%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
54.7%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
38.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a)))
54.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a)))
70.8%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.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))
39.0%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64))
70.6%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
70.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
70.5%
(*.f64 (*.f64 (/.f64 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)))) (sin.f64 b))
55.0%
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
55.0%
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
70.5%
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a)))
70.6%
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))
38.3%
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)))) (cos.f64 (-.f64 b a)))
52.2%
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
33.0%
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
31.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
49.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
32.5%
#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))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
31.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
30.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
31.1%
#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))
49.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
31.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
31.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
37.0%
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
38.3%
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
Compiler

Compiled 6 374 to 2 446 computations (61.6% saved)

regimes149.0ms (1.5%)

Memory
13.6MiB live, 158.2MiB allocated
Counts
127 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.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 a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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)))) #s(approx (cos (- b a)) (cos.f64 a)))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.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)) b) a)))
(*.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 a b)) (*.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 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 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)))) (sin.f64 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) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 (+.f64 b a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b) b (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 a))) (pow.f64 (*.f64 a (sin.f64 b)) #s(literal 2 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (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 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (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 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.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)) #s(approx (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a))) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (cos.f64 a)) (neg.f64 (cos.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(approx (+ (pow (* (cos a) (cos b)) 2) (* (* (neg (sin b)) (sin a)) (* (neg (cos b)) (cos a)))) (fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))) (sin.f64 a)) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 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 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Calls

4 calls:

47.0ms
r
34.0ms
b
32.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
30.0ms
a
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes179.0ms (1.8%)

Memory
-7.4MiB live, 139.8MiB allocated
Counts
102 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.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 a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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)))) #s(approx (cos (- b a)) (cos.f64 a)))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.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)) b) a)))
(*.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 a b)) (*.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 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 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)))) (sin.f64 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) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
Calls

4 calls:

76.0ms
b
46.0ms
r
28.0ms
a
24.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes130.0ms (1.3%)

Memory
23.6MiB live, 113.3MiB allocated
Counts
101 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.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 a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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)))) #s(approx (cos (- b a)) (cos.f64 a)))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.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)) b) a)))
(*.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 a b)) (*.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 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 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)))) (sin.f64 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) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Calls

4 calls:

41.0ms
b
38.0ms
r
24.0ms
a
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes163.0ms (1.6%)

Memory
-11.3MiB live, 133.9MiB allocated
Counts
100 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.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 a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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)))) #s(approx (cos (- b a)) (cos.f64 a)))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.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)) b) a)))
(*.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 a b)) (*.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 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 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)))) (sin.f64 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) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (-.f64 b (+.f64 b a)))) (sin.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b) a)))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (-.f64 b a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b))) (sin.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (cos.f64 (+.f64 (+.f64 (-.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
Calls

4 calls:

66.0ms
b
38.0ms
r
31.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
24.0ms
a
Results
AccuracySegmentsBranch
71.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
71.2%1r
71.2%1a
71.2%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes140.0ms (1.4%)

Memory
7.6MiB live, 155.6MiB allocated
Counts
89 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.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 a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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)))) #s(approx (cos (- b a)) (cos.f64 a)))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.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)) b) a)))
(*.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 a b)) (*.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))
Outputs
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.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))
Calls

4 calls:

54.0ms
b
32.0ms
r
29.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
21.0ms
a
Results
AccuracySegmentsBranch
70.8%1b
70.8%1a
70.8%1r
70.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes136.0ms (1.3%)

Memory
-24.6MiB live, 167.2MiB allocated
Counts
88 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ (/ (PI) 2) b) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (*.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.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 a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (cos.f64 (-.f64 b a)))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (cos.f64 a)))) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 #s(approx (sin (- (+ (/ (PI) 2) a) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(*.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)))) #s(approx (cos (- b a)) (cos.f64 a)))
#s(approx (* (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 (*.f64 r (cos.f64 (-.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 #s(approx (/ (* (sin b) r) (* (sin (- (+ (/ (PI) 2) a) b)) (cos (+ a b)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))
(*.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)) b) a)))
(*.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)))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
Calls

4 calls:

37.0ms
r
34.0ms
a
27.0ms
b
20.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
70.6%1b
70.6%1a
70.6%1r
70.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes48.0ms (0.5%)

Memory
8.4MiB live, 54.4MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Calls

4 calls:

19.0ms
b
9.0ms
a
9.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
9.0ms
r
Results
AccuracySegmentsBranch
70.6%1a
70.6%1b
70.6%1r
70.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes39.0ms (0.4%)

Memory
9.5MiB live, 56.0MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Calls

4 calls:

10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
9.0ms
a
9.0ms
r
9.0ms
b
Results
AccuracySegmentsBranch
70.6%3a
70.4%3b
59.1%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
57.4%2r
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.3%)

Memory
-18.1MiB live, 32.3MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

2 calls:

21.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
70.4%3b
68.1%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes62.0ms (0.6%)

Memory
2.9MiB live, 48.6MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
Calls

4 calls:

38.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
7.0ms
b
7.0ms
a
7.0ms
r
Results
AccuracySegmentsBranch
49.8%1r
49.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
49.8%1a
54.6%3b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#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))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
54.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.3%)

Memory
-28.7MiB live, 17.9MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))
Calls

1 calls:

27.0ms
b
Results
AccuracySegmentsBranch
54.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
Calls

2 calls:

5.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
49.8%1a
49.8%1b
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes43.0ms (0.4%)

Memory
-10.8MiB live, 36.1MiB allocated
Accuracy

Total -1.9b remaining (-4.4%)

Threshold costs -1.9b (-4.4%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
#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 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #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)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Calls

4 calls:

28.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms
b
5.0ms
a
5.0ms
r
Results
AccuracySegmentsBranch
31.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
31.8%1r
31.8%1b
31.8%1a
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch68.0ms (0.7%)

Memory
23.2MiB live, 76.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
3.785144243871092e-5
3.593390553388105
27.0ms
-1.629951495319413e+20
-723177.477722634
Samples
27.0ms167×1valid
10.0ms137×0valid
Compiler

Compiled 563 to 489 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 9.0ms (33.2% of total)
ival-sin: 7.0ms (25.8% of total)
ival-add: 3.0ms (11.1% of total)
adjust: 3.0ms (11.1% of total)
ival-div: 2.0ms (7.4% of total)
ival-mult: 2.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory
-14.4MiB live, 77.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.865889717822031e-7
19.299248969978777
17.0ms
-0.00010623333584036063
-1.1872811217627939e-5
Samples
21.0ms139×1valid
8.0ms101×0valid
Compiler

Compiled 642 to 479 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 6.0ms (32.1% of total)
ival-sin: 4.0ms (21.4% of total)
adjust: 3.0ms (16.1% of total)
ival-add: 2.0ms (10.7% of total)
ival-div: 2.0ms (10.7% of total)
ival-mult: 2.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch53.0ms (0.5%)

Memory
-8.1MiB live, 90.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
8.865889717822031e-7
19.299248969978777
27.0ms
-17.550824942868324
-0.00010623333584036063
Samples
26.0ms137×1valid
12.0ms119×0valid
Compiler

Compiled 822 to 626 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 13.0ms (42.8% of total)
ival-cos: 8.0ms (26.3% of total)
adjust: 3.0ms (9.9% of total)
ival-add: 2.0ms (6.6% of total)
ival-div: 2.0ms (6.6% of total)
ival-mult: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
8.865889717822031e-7
19.299248969978777
6.0ms
-17.550824942868324
-0.00010623333584036063
Samples
3.0ms31×0valid
3.0ms17×1valid
Compiler

Compiled 606 to 518 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 2.0ms (44.3% of total)
ival-cos: 1.0ms (22.2% of total)
ival-add: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
-14.7MiB live, 31.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
8.865889717822031e-7
19.299248969978777
1.0ms
-17.550824942868324
-0.00010623333584036063
Samples
13.0ms46×0valid
8.0ms50×1valid
Compiler

Compiled 660 to 554 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 3.0ms (33.3% of total)
ival-cos: 3.0ms (33.3% of total)
ival-add: 1.0ms (11.1% of total)
ival-div: 1.0ms (11.1% of total)
adjust: 1.0ms (11.1% of total)
ival-mult: 1.0ms (11.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify63.0ms (0.6%)

Memory
18.3MiB live, 64.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117390
1187387
2258387
3350387
4512387
5969387
62223387
74575387
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.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 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -740000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 b #s(literal -1936908127739503/18446744073709551616 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7566047373982433/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 b a))))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.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 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -740000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (or (<=.f64 a #s(literal -740000 binary64)) (not (<=.f64 a #s(literal 4796153459164483/73786976294838206464 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(if (<=.f64 b #s(literal -1936908127739503/18446744073709551616 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7566047373982433/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 b #s(literal -1936908127739503/18446744073709551616 binary64)) (not (<=.f64 b #s(literal 7566047373982433/72057594037927936 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (not (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) r) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -8782019273372467/2251799813685248 binary64)) (not (<=.f64 b #s(literal 8106479329266893/2251799813685248 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (not (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin b)) a) (cos b)) #s(literal 1 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.4s (13.9%)

Memory
48.8MiB live, 1 023.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03991562
114491464
258641444
082141339
068404
0115357
1427340
23456326
08051325
0819
01319
14619
226619
3285319
0828619
031157
055129
1184129
21205129
08128129
06062997
122942613
088732404
0167593
1569562
22016518
37405515
09145482
050222
082190
1295187
22195187
08128187
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 765 to 405 computations (47.1% saved)

preprocess167.0ms (1.6%)

Memory
-7.7MiB live, 85.7MiB allocated
Remove

(negabs r)

Compiler

Compiled 830 to 284 computations (65.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...