rsin A (should all be same)

Time bar (total: 13.0s)

analyze349.0ms (2.7%)

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 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-sin: 45.0ms (33.8% of total)
ival-mult: 26.0ms (19.5% of total)
ival-div: 24.0ms (18% of total)
ival-cos: 20.0ms (15% of total)
ival-add: 16.0ms (12% of total)
const: 2.0ms (1.5% of total)
backward-pass: 1.0ms (0.8% of total)

sample2.1s (16.5%)

Results
1.7s5968×1valid
171.0ms2288×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-sin: 618.0ms (46.2% of total)
ival-cos: 289.0ms (21.6% of total)
ival-mult: 140.0ms (10.5% of total)
ival-div: 102.0ms (7.6% of total)
backward-pass: 96.0ms (7.2% of total)
ival-add: 84.0ms (6.3% of total)
const: 8.0ms (0.6% of total)
Bogosity

preprocess83.0ms (0.6%)

Algorithm
egg-herbie
Rules
2354×fnmadd-define
1960×fma-define
1434×sum3-define
1128×fnmsub-define
1096×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03895
19193
219693
348393
4161293
5355793
6588793
7689393
8787993
089
1129
2159
3169
0169
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Call 2
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* (neg r) (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ (neg a) b)))
(/ (* r (sin (neg b))) (cos (+ a (neg b))))
(neg (/ (* (neg r) (sin b)) (cos (+ a b))))
(neg (/ (* r (sin b)) (cos (+ (neg a) b))))
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b)))))
(/ (* a (sin b)) (cos (+ r b)))
(/ (* b (sin r)) (cos (+ a r)))
(/ (* r (sin a)) (cos (+ b a)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ b a)))
(/ (* (neg r) (sin b)) (cos (+ a b)))
(/ (fnmsub r (sin b) 0) (cos (+ b a)))
(/ (* r (sin b)) (cos (+ (neg a) b)))
(/ (* r (sin b)) (cos (- b a)))
(/ (* r (sin (neg b))) (cos (+ a (neg b))))
(/ (fnmsub r (sin b) 0) (cos (- b a)))
(neg (/ (* (neg r) (sin b)) (cos (+ a b))))
(/ (* r (sin b)) (cos (+ b a)))
(neg (/ (* r (sin b)) (cos (+ (neg a) b))))
(/ (fnmsub r (sin b) 0) (cos (- b a)))
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b)))))
(/ (* r (sin b)) (cos (- b a)))
(/ (* a (sin b)) (cos (+ r b)))
(/ (* (sin b) a) (cos (+ r b)))
(/ (* b (sin r)) (cos (+ a r)))
(/ (* b (sin r)) (cos (+ r a)))
(/ (* r (sin a)) (cos (+ b a)))
(* r (/ (sin a) (cos (+ b a))))
Symmetry

(negabs r)

explain153.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
74115(6.436472101567007e-232 -1.3642240147567132e+294 6.822667973136745e-180)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
00-0-r
00-0-b
00-0-(*.f64 r (sin.f64 b))
00-0-(sin.f64 b)
00-0-a
00-0-(+.f64 a b)
Results
99.0ms362×1valid
20.0ms150×0valid
Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sin: 24.0ms (34.7% of total)
ival-cos: 21.0ms (30.4% of total)
ival-mult: 8.0ms (11.6% of total)
backward-pass: 6.0ms (8.7% of total)
ival-add: 5.0ms (7.2% of total)
ival-div: 5.0ms (7.2% of total)
const: 1.0ms (1.4% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
75.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify34.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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)) (cos.f64 (+.f64 b a)))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11225
21525
31625
01625
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ b a)))
(* r (sin b))
r
(sin b)
b
(cos (+ b a))
(+ b a)
a
Outputs
(/ (* r (sin b)) (cos (+ b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a

localize94.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
accuracy75.8%
(cos.f64 (+.f64 b a))
Results
77.0ms181×1valid
7.0ms75×0valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sin: 11.0ms (32.2% of total)
ival-cos: 11.0ms (32.2% of total)
ival-mult: 4.0ms (11.7% of total)
backward-pass: 3.0ms (8.8% of total)
ival-add: 2.0ms (5.9% of total)
ival-div: 2.0ms (5.9% of total)
const: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (cos (+ b a)))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (cos (+ b a))>
Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
Calls

24 calls:

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

rewrite386.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
6648×*-lowering-*.f32
6648×*-lowering-*.f64
3292×/-lowering-/.f32
3292×/-lowering-/.f64
2624×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
13919
225319
3231419
01120519
Stop Event
iter limit
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ b a)))
(* r (sin b))
(sin b)
(cos (+ b a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
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(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (-.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (pow.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) #s(literal -4 binary64))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))

simplify313.0ms (2.4%)

Algorithm
egg-herbie
Rules
4042×*-lowering-*.f32
4042×*-lowering-*.f64
1622×sum5-define
1594×+-lowering-+.f64
1594×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0167937
1557880
21899847
37323847
08053847
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)))))))))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (*.f64 r a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (*.f64 r (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))

eval32.0ms (0.2%)

Compiler

Compiled 4848 to 628 computations (87% saved)

prune67.0ms (0.5%)

Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New22135256
Fresh000
Picked101
Done000
Total22235257
Accuracy
99.8%
Counts
257 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.5%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
34.0%
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
75.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
48.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
48.3%
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
98.7%
(/.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 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))
77.9%
(/.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 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
75.6%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
75.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
60.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
49.6%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
75.6%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
62.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
53.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
49.0%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
48.8%
(/.f64 (*.f64 r b) (cos.f64 a))
75.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
59.4%
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))))))
75.5%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
75.5%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
75.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
75.6%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
75.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
75.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
75.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
75.6%
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
48.7%
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
34.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 1576 to 950 computations (39.7% saved)

simplify184.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6272
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))))
cost-diff6272
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
cost-diff6592
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
cost-diff6592
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
cost-diff0
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
cost-diff0
(cos.f64 a)
cost-diff0
(*.f64 r b)
cost-diff0
(/.f64 (*.f64 r b) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6400
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
cost-diff6400
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
Rules
2214×fnmadd-define
1946×*-lowering-*.f32
1946×*-lowering-*.f64
1420×fma-define
1400×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033198
167196
2125194
3273194
4545194
51104194
62122194
74819194
08091194
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(* r (sin b))
r
(sin b)
b
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(cos b)
(cos a)
a
(* (sin b) (- 0 (sin a)))
(- 0 (sin a))
0
(sin a)
(/ (* r b) (cos a))
(* r b)
r
b
(cos a)
a
(/ r (/ (cos (+ b a)) (sin b)))
r
(/ (cos (+ b a)) (sin b))
(cos (+ b a))
(+ b a)
b
a
(sin b)
(* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1))
(/ (sin b) (cos (+ b a)))
(sin b)
b
(cos (+ b a))
(+ b a)
a
(pow (/ 1 r) -1)
(/ 1 r)
1
r
-1
(/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))))
(* r (sin b))
r
(sin b)
b
(+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))
(cos b)
(* a (- (* a (* -1/2 (cos b))) (sin b)))
a
(- (* a (* -1/2 (cos b))) (sin b))
(* a (* -1/2 (cos b)))
(* -1/2 (cos b))
-1/2
Outputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(* (sin b) (- 0 (sin a)))
(*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
(/ (* r b) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* r b)
(*.f64 r b)
r
b
(cos a)
(cos.f64 a)
a
(/ r (/ (cos (+ b a)) (sin b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/ (cos (+ b a)) (sin b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(sin b)
(sin.f64 b)
(* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin b)
(sin.f64 b)
b
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a
(pow (/ 1 r) -1)
r
(/ 1 r)
(/.f64 #s(literal 1 binary64) r)
1
#s(literal 1 binary64)
r
-1
#s(literal -1 binary64)
(/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 (sin.f64 b) a)) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))
(-.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 (sin.f64 b) a))
(cos b)
(cos.f64 b)
(* a (- (* a (* -1/2 (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)))
a
(- (* a (* -1/2 (cos b))) (sin b))
(-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b))
(* a (* -1/2 (cos b)))
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (cos b))
(*.f64 (cos.f64 b) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize320.0ms (2.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))
accuracy99.8%
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy94.7%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
accuracy99.7%
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
accuracy99.6%
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
accuracy75.8%
(cos.f64 (+.f64 b a))
accuracy100.0%
(sin.f64 b)
accuracy99.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
accuracy99.6%
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
accuracy75.8%
(cos.f64 (+.f64 b a))
accuracy100.0%
(*.f64 r b)
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(/.f64 (*.f64 r b) (cos.f64 a))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
accuracy99.7%
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
accuracy99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
Results
198.0ms181×1valid
69.0ms75×0valid
Compiler

Compiled 219 to 33 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-cos: 47.0ms (23.2% of total)
ival-pow: 41.0ms (20.2% of total)
ival-mult: 30.0ms (14.8% of total)
ival-sin: 29.0ms (14.3% of total)
ival-div: 23.0ms (11.3% of total)
backward-pass: 13.0ms (6.4% of total)
compiled-spec: 7.0ms (3.4% of total)
ival-add: 6.0ms (3% of total)
ival-sub: 5.0ms (2.5% of total)
const: 1.0ms (0.5% of total)

series63.0ms (0.5%)

Counts
19 → 480
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))>
#<alt (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (/ (* r b) (cos a))>
#<alt (* r b)>
#<alt (cos a)>
#<alt (/ r (/ (cos (+ b a)) (sin b)))>
#<alt (/ (cos (+ b a)) (sin b))>
#<alt (cos (+ b a))>
#<alt (+ b a)>
#<alt (* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1))>
#<alt (pow (/ 1 r) -1)>
#<alt (/ (sin b) (cos (+ b a)))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))))>
#<alt (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))>
#<alt (* (sin b) (- 0 (sin a)))>
#<alt (* a (* -1/2 (cos b)))>
#<alt (* a (- (* a (* -1/2 (cos b))) (sin b)))>
Outputs
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (+ (* 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)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (cos a) b)>
#<alt (/ (+ (cos a) (* -1 (* b (sin a)))) b)>
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)>
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (+ (* -1 a) (/ (cos b) (sin b)))>
#<alt (+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))>
#<alt (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* a (* b r)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* r (- (* 1/4 (pow a 2)) 1/2))) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* 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)))>
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2))>
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 a)>
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))>
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))>
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* -1/2 (pow a 2))>
#<alt (+ (* -1 (* a b)) (* -1/2 (pow a 2)))>
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b)))))>
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
Calls

120 calls:

TimeVariablePointExpression
8.0ms
a
@-inf
(/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))))
5.0ms
b
@-inf
(/ (cos (+ b a)) (sin b))
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
4.0ms
b
@-inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
3.0ms
b
@0
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))

rewrite458.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3722×/-lowering-/.f32
3722×/-lowering-/.f64
3606×*-lowering-*.f32
3606×*-lowering-*.f64
1912×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033161
1181121
21445121
08528121
Stop Event
iter limit
node limit
Counts
19 → 819
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(* r (sin b))
(sin b)
(/ (* r b) (cos a))
(* r b)
(cos a)
(/ r (/ (cos (+ b a)) (sin b)))
(/ (cos (+ b a)) (sin b))
(cos (+ b a))
(+ b a)
(* (/ (sin b) (cos (+ b a))) (pow (/ 1 r) -1))
(pow (/ 1 r) -1)
(/ (sin b) (cos (+ b a)))
(/ (* r (sin b)) (+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b)))))
(+ (cos b) (* a (- (* a (* -1/2 (cos b))) (sin b))))
(* (sin b) (- 0 (sin a)))
(* a (* -1/2 (cos b)))
(* a (- (* a (* -1/2 (cos b))) (sin b)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
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(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (sin.f64 b) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))))))))
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) a) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 b) (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))))))

simplify364.0ms (2.8%)

Algorithm
egg-herbie
Rules
5462×*-lowering-*.f32
5462×*-lowering-*.f64
2186×+-lowering-+.f64
2186×+-lowering-+.f32
1786×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05616002
119575598
270785598
087295598
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (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))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
r
r
r
r
r
r
r
r
r
r
r
r
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* a (* b r)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* r (- (* 1/4 (pow a 2)) 1/2))) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (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))) (/ (* (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)))
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2))
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin 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)) (* -1/2 (* a (cos b))))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* -1/2 (pow a 2))
(+ (* -1 (* a b)) (* -1/2 (pow a 2)))
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b)))))
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (-.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) a)))
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 b (*.f64 a #s(literal 1/6 binary64))))) a)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))

eval243.0ms (1.9%)

Compiler

Compiled 37743 to 2657 computations (93% saved)

prune265.0ms (2%)

Pruning

71 alts after pruning (71 fresh and 0 done)

PrunedKeptTotal
New1519571576
Fresh161430
Picked505
Done000
Total1540711611
Accuracy
100.0%
Counts
1611 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
75.5%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
75.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
48.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
60.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
30.1%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)))))
49.6%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
34.3%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
35.8%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
75.6%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
33.2%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a))))
62.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
53.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
33.3%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
33.4%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
33.4%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
49.0%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
99.4%
(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
98.8%
(/.f64 r (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)))
66.3%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))
99.4%
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
60.8%
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
51.7%
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
60.1%
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
49.8%
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b))
75.5%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
46.4%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b)))
48.3%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
49.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
63.3%
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b)))
62.1%
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
52.9%
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
48.8%
(/.f64 r (/.f64 (cos.f64 a) b))
99.4%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
60.8%
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
75.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
48.3%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
75.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
75.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
98.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
98.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
99.3%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
60.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
50.1%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
46.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
70.9%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
71.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
75.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
62.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
52.9%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
75.5%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
75.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
75.6%
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
48.8%
(*.f64 (/.f64 b (cos.f64 a)) r)
75.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
74.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
34.6%
(*.f64 r b)
48.8%
(*.f64 b (/.f64 r (cos.f64 a)))
32.8%
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
29.5%
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
34.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3064 to 1866 computations (39.1% saved)

simplify167.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
cost-diff13440
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
cost-diff13440
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b))
cost-diff13440
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 a))
cost-diff6592
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
cost-diff6592
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
cost-diff0
(sin.f64 b)
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 (cos.f64 a) (sin.f64 b))
cost-diff0
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
cost-diff0
(*.f64 r b)
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6336
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff6336
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
3012×*-lowering-*.f32
3012×*-lowering-*.f64
1684×/-lowering-/.f32
1684×/-lowering-/.f64
1132×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031199
169161
2147153
3396153
41541153
52775153
63697153
75237153
08783153
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(* r (sin b))
r
(sin b)
b
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))
(cos b)
(cos a)
a
(neg (* (sin b) (sin a)))
(* (sin b) (sin a))
(sin a)
(* r b)
r
b
(/ r (/ (cos a) (sin b)))
r
(/ (cos a) (sin b))
(cos a)
a
(sin b)
b
(* (/ (sin b) (cos a)) (pow (/ 1 r) -1))
(/ (sin b) (cos a))
(sin b)
b
(cos a)
a
(pow (/ 1 r) -1)
(/ 1 r)
1
r
-1
(/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)))
r
(/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))
(* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a))))
(* (cos (+ b a)) (cos (- b a)))
(cos (+ b a))
(+ b a)
b
a
(cos (- b a))
(- b a)
(/ 1 (cos (- b a)))
1
(sin b)
Outputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(neg (* (sin b) (sin a)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* (sin b) (sin a))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin a)
(sin.f64 a)
(* r b)
(*.f64 r b)
r
b
(/ r (/ (cos a) (sin b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
r
(/ (cos a) (sin b))
(/.f64 (cos.f64 a) (sin.f64 b))
(cos a)
(cos.f64 a)
a
(sin b)
(sin.f64 b)
b
(* (/ (sin b) (cos a)) (pow (/ 1 r) -1))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/ (sin b) (cos a))
(/.f64 (sin.f64 b) (cos.f64 a))
(sin b)
(sin.f64 b)
b
(cos a)
(cos.f64 a)
a
(pow (/ 1 r) -1)
r
(/ 1 r)
(/.f64 #s(literal 1 binary64) r)
1
#s(literal 1 binary64)
r
-1
#s(literal -1 binary64)
(/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a))))
(cos.f64 (+.f64 b a))
(* (cos (+ b a)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(cos (- b a))
(cos.f64 (-.f64 b a))
(- b a)
(-.f64 b a)
(/ 1 (cos (- b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))
1
#s(literal 1 binary64)
(sin b)
(sin.f64 b)

localize298.0ms (2.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
accuracy99.4%
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
accuracy75.9%
(cos.f64 (-.f64 b a))
accuracy75.8%
(cos.f64 (+.f64 b a))
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(/.f64 (sin.f64 b) (cos.f64 a))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
accuracy99.7%
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
accuracy100.0%
(cos.f64 a)
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(/.f64 (cos.f64 a) (sin.f64 b))
accuracy99.6%
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
accuracy100.0%
(*.f64 r b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Results
216.0ms178×1valid
33.0ms78×0valid
Compiler

Compiled 205 to 31 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-cos: 40.0ms (25.5% of total)
ival-sin: 30.0ms (19.1% of total)
ival-mult: 27.0ms (17.2% of total)
ival-div: 22.0ms (14% of total)
backward-pass: 12.0ms (7.6% of total)
ival-pow: 8.0ms (5.1% of total)
compiled-spec: 8.0ms (5.1% of total)
ival-add: 5.0ms (3.2% of total)
ival-sub: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
const: 1.0ms (0.6% of total)

series29.0ms (0.2%)

Counts
18 → 444
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))>
#<alt (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (* r b)>
#<alt (/ r (/ (cos a) (sin b)))>
#<alt (/ (cos a) (sin b))>
#<alt (cos a)>
#<alt (* (/ (sin b) (cos a)) (pow (/ 1 r) -1))>
#<alt (pow (/ 1 r) -1)>
#<alt (/ (sin b) (cos a))>
#<alt (/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)))>
#<alt (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))>
#<alt (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a))))>
#<alt (* (cos (+ b a)) (cos (- b a)))>
#<alt (* (sin b) (sin a))>
#<alt (cos (+ b a))>
#<alt (cos (- b a))>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ 1 (sin b))>
#<alt (+ (* -1/2 (/ (pow a 2) (sin b))) (/ 1 (sin b)))>
#<alt (+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) (sin b))) (* 1/2 (/ 1 (sin b))))) (/ 1 (sin b)))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) (sin b))) (* 1/24 (/ 1 (sin b))))) (* 1/2 (/ 1 (sin b))))) (/ 1 (sin b)))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) b)>
#<alt (/ (+ (cos a) (* 1/6 (* (pow b 2) (cos a)))) b)>
#<alt (/ (+ (cos a) (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/36 (cos a)) (* 1/120 (cos a))))) (* -1/6 (cos a))))) b)>
#<alt (/ (+ (cos a) (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/5040 (cos a)) (+ (* 1/720 (cos a)) (* 1/6 (+ (* -1/36 (cos a)) (* 1/120 (cos a)))))))) (+ (* -1/36 (cos a)) (* 1/120 (cos a))))) (* -1/6 (cos a))))) b)>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt (/ (cos a) (sin b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt r>
#<alt (/ b (cos a))>
#<alt (* b (+ (* -1/6 (/ (pow b 2) (cos a))) (/ 1 (cos a))))>
#<alt (* b (+ (* (pow b 2) (- (* 1/120 (/ (pow b 2) (cos a))) (* 1/6 (/ 1 (cos a))))) (/ 1 (cos a))))>
#<alt (* b (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1/5040 (/ (pow b 2) (cos a))) (* 1/120 (/ 1 (cos a))))) (* 1/6 (/ 1 (cos a))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (sin b)>
#<alt (+ (sin b) (* 1/2 (* (pow a 2) (sin b))))>
#<alt (+ (sin b) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (sin b)) (* 1/24 (sin b))))) (* -1/2 (sin b)))))>
#<alt (+ (sin b) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (sin b)) (+ (* 1/48 (sin b)) (* 1/2 (+ (* -1/4 (sin b)) (* 1/24 (sin b)))))))) (+ (* -1/4 (sin b)) (* 1/24 (sin b))))) (* -1/2 (sin b)))))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (sin b) (cos a))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (cos a) b)>
#<alt (/ (+ (cos a) (* -1 (* b (sin a)))) b)>
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)>
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos (- a (* -1 b))) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (+ (* -1 a) (/ (cos b) (sin b)))>
#<alt (+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))>
#<alt (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (+ a b)) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (/ (cos (- b (* -1 a))) (sin b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (* (cos a) (cos (neg a)))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (pow (cos b) 2)>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (neg a))>
#<alt (+ (cos (neg a)) (* -1 (* b (sin (neg a)))))>
#<alt (+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))>
#<alt (+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin b)))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (+ b (* -1 a)))>
#<alt (cos (+ b (* -1 a)))>
#<alt (cos (+ b (* -1 a)))>
#<alt (cos (+ b (* -1 a)))>
Calls

111 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
1.0ms
b
@inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
1.0ms
b
@0
(* (cos (+ b a)) (cos (- b a)))
1.0ms
a
@inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
1.0ms
r
@inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))

rewrite394.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
4288×*-lowering-*.f32
4288×*-lowering-*.f64
3494×/-lowering-/.f32
3494×/-lowering-/.f64
2418×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031104
116791
2135691
0954791
Stop Event
iter limit
node limit
Counts
18 → 744
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))
(* r (sin b))
(sin b)
(* r b)
(/ r (/ (cos a) (sin b)))
(/ (cos a) (sin b))
(cos a)
(* (/ (sin b) (cos a)) (pow (/ 1 r) -1))
(pow (/ 1 r) -1)
(/ (sin b) (cos a))
(/ r (/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b)))
(/ (* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a)))) (sin b))
(* (* (cos (+ b a)) (cos (- b a))) (/ 1 (cos (- b a))))
(* (cos (+ b a)) (cos (- b a)))
(* (sin b) (sin a))
(cos (+ b a))
(cos (- b a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (-.f64 b a)))) r) #s(literal -1 binary64)))
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(+.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
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(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(pow.f64 (cos.f64 (-.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) #s(literal -1 binary64))
(*.f64 (cos.f64 (-.f64 b a)) #s(literal 1 binary64))

simplify259.0ms (2%)

Algorithm
egg-herbie
Rules
4798×*-lowering-*.f32
4798×*-lowering-*.f64
2148×+-lowering-+.f64
2148×+-lowering-+.f32
1994×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04934388
117754101
265264101
080234101
Stop Event
iter limit
node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(* r (sin b))
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* b r) (cos a))
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ 1 (sin b))
(+ (* -1/2 (/ (pow a 2) (sin b))) (/ 1 (sin b)))
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) (sin b))) (* 1/2 (/ 1 (sin b))))) (/ 1 (sin b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) (sin b))) (* 1/24 (/ 1 (sin b))))) (* 1/2 (/ 1 (sin b))))) (/ 1 (sin b)))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) b)
(/ (+ (cos a) (* 1/6 (* (pow b 2) (cos a)))) b)
(/ (+ (cos a) (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/36 (cos a)) (* 1/120 (cos a))))) (* -1/6 (cos a))))) b)
(/ (+ (cos a) (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/5040 (cos a)) (+ (* 1/720 (cos a)) (* 1/6 (+ (* -1/36 (cos a)) (* 1/120 (cos a)))))))) (+ (* -1/36 (cos a)) (* 1/120 (cos a))))) (* -1/6 (cos a))))) b)
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
(/ (cos a) (sin b))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* b r) (cos a))
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(* r (sin b))
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
r
r
r
r
r
r
r
r
r
r
r
r
(/ b (cos a))
(* b (+ (* -1/6 (/ (pow b 2) (cos a))) (/ 1 (cos a))))
(* b (+ (* (pow b 2) (- (* 1/120 (/ (pow b 2) (cos a))) (* 1/6 (/ 1 (cos a))))) (/ 1 (cos a))))
(* b (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1/5040 (/ (pow b 2) (cos a))) (* 1/120 (/ 1 (cos a))))) (* 1/6 (/ 1 (cos a))))) (/ 1 (cos a))))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(sin b)
(+ (sin b) (* 1/2 (* (pow a 2) (sin b))))
(+ (sin b) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (sin b)) (* 1/24 (sin b))))) (* -1/2 (sin b)))))
(+ (sin b) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (sin b)) (+ (* 1/48 (sin b)) (* 1/2 (+ (* -1/4 (sin b)) (* 1/24 (sin b)))))))) (+ (* -1/4 (sin b)) (* 1/24 (sin b))))) (* -1/2 (sin b)))))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (sin b) (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(* (cos a) (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 (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 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 b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (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 (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(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)))))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
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(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos b)
(cos.f64 b)
(+ (cos b) (* a (sin b)))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (sin.f64 b) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)))))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))

eval215.0ms (1.6%)

Compiler

Compiled 37785 to 3471 computations (90.8% saved)

prune211.0ms (1.6%)

Pruning

87 alts after pruning (84 fresh and 3 done)

PrunedKeptTotal
New1353261379
Fresh85866
Picked235
Done000
Total1363871450
Accuracy
100.0%
Counts
1450 → 87
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
75.5%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
52.9%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))
75.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
48.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
63.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
76.0%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
98.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
60.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)))))
49.6%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
34.3%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
75.6%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))
33.2%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a))))
62.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
53.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
33.3%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
33.4%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
33.4%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
49.0%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
99.4%
(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
98.8%
(/.f64 r (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)))
66.3%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))
99.4%
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
60.8%
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
51.7%
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
60.1%
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
49.8%
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b))
35.7%
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
54.5%
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
99.2%
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
49.2%
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
98.6%
(/.f64 r (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
61.9%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))
52.8%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b)))
62.0%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
52.9%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
46.4%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b)))
49.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
63.3%
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b)))
62.1%
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
48.4%
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
52.9%
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
48.8%
(/.f64 r (/.f64 (cos.f64 a) b))
38.6%
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.4%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
60.8%
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
75.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
52.4%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
75.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
75.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
98.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
99.3%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
60.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
46.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
70.9%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
71.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
75.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
62.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
52.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64)))
50.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
50.3%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r)))
75.5%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
75.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
53.0%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
75.6%
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
48.8%
(*.f64 (/.f64 b (cos.f64 a)) r)
75.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
74.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
32.6%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
38.6%
(*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
53.0%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
38.7%
(*.f64 r (sin.f64 b))
34.6%
(*.f64 r b)
48.8%
(*.f64 b (/.f64 r (cos.f64 a)))
32.8%
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
29.5%
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
34.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
24.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3571 to 2215 computations (38% saved)

simplify147.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 b)
cost-diff6272
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))))
cost-diff12800
(/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))
cost-diff12800
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
cost-diff0
(cos.f64 b)
cost-diff0
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
cost-diff6528
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))
cost-diff6528
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
cost-diff0
(cos.f64 a)
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 a a))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
cost-diff0
(*.f64 r b)
cost-diff0
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6400
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff6400
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
Rules
2106×sum4-define
1888×fma-lowering-fma.f32
1888×fma-lowering-fma.f64
1874×*-lowering-*.f32
1874×*-lowering-*.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
033226
175221
2143216
3277212
4575210
51404210
65919208
08036208
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))
(* r (sin b))
r
(sin b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))
(- 0 (sin b))
0
(sin a)
a
(* (cos b) (cos a))
(cos b)
(cos a)
(/ (* r b) (+ 1 (* -1/2 (* a a))))
(* r b)
r
b
(+ 1 (* -1/2 (* a a)))
1
(* -1/2 (* a a))
-1/2
(* a a)
a
(/ (* r (sin b)) (cos a))
(* r (sin b))
r
(sin b)
b
(cos a)
a
(/ r (/ (- (cos b) (* (sin b) a)) (sin b)))
r
(/ (- (cos b) (* (sin b) a)) (sin b))
(- (cos b) (* (sin b) a))
(cos b)
b
(* (sin b) a)
(sin b)
a
(/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)))
r
(/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))
(+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b))))
(cos b)
b
(* a (- (* a (* (cos b) -1/2)) (sin b)))
a
(- (* a (* (cos b) -1/2)) (sin b))
(* a (* (cos b) -1/2))
(* (cos b) -1/2)
-1/2
(sin b)
Outputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(- 0 (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
a
(* (cos b) (cos a))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
(/ (* r b) (+ 1 (* -1/2 (* a a))))
(*.f64 r (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))
(* r b)
(*.f64 r b)
r
b
(+ 1 (* -1/2 (* a a)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
1
#s(literal 1 binary64)
(* -1/2 (* a a))
(*.f64 #s(literal -1/2 binary64) (*.f64 a a))
-1/2
#s(literal -1/2 binary64)
(* a a)
(*.f64 a a)
a
(/ (* r (sin b)) (cos a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(cos a)
(cos.f64 a)
a
(/ r (/ (- (cos b) (* (sin b) a)) (sin b)))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
r
(/ (- (cos b) (* (sin b) a)) (sin b))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(- (cos b) (* (sin b) a))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos b)
(cos.f64 b)
b
(* (sin b) a)
(*.f64 (sin.f64 b) a)
(sin b)
(sin.f64 b)
a
(/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (sin.f64 b)) a))
r
(/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (sin.f64 b)) a)
(+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b))))
(-.f64 (*.f64 (cos.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 (sin.f64 b) a))
(cos b)
(cos.f64 b)
b
(* a (- (* a (* (cos b) -1/2)) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
a
(- (* a (* (cos b) -1/2)) (sin b))
(-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))
(* a (* (cos b) -1/2))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* (cos b) -1/2)
(*.f64 (cos.f64 b) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(sin b)
(sin.f64 b)

localize158.0ms (1.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
accuracy99.8%
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
accuracy99.8%
(/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b))
accuracy93.2%
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
accuracy100.0%
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
accuracy99.8%
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
accuracy99.8%
(*.f64 (sin.f64 b) a)
accuracy99.7%
(/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b))
accuracy100.0%
(cos.f64 a)
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
accuracy100.0%
(*.f64 r b)
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 a a))
accuracy89.2%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
accuracy99.9%
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
Results
114.0ms256×0valid
Compiler

Compiled 238 to 33 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 23.0ms (32.5% of total)
ival-sin: 13.0ms (18.4% of total)
ival-cos: 12.0ms (17% of total)
ival-div: 11.0ms (15.6% of total)
ival-add: 4.0ms (5.7% of total)
ival-sub: 4.0ms (5.7% of total)
compiled-spec: 3.0ms (4.2% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.2%)

Counts
22 → 516
Calls
Call 1
Inputs
#<alt (/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))>
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (/ (* r b) (+ 1 (* -1/2 (* a a))))>
#<alt (* r b)>
#<alt (+ 1 (* -1/2 (* a a)))>
#<alt (* -1/2 (* a a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (cos a)>
#<alt (/ r (/ (- (cos b) (* (sin b) a)) (sin b)))>
#<alt (/ (- (cos b) (* (sin b) a)) (sin b))>
#<alt (- (cos b) (* (sin b) a))>
#<alt (cos b)>
#<alt (/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)))>
#<alt (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))>
#<alt (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b))))>
#<alt (* (cos b) (cos a))>
#<alt (* a a)>
#<alt (* (sin b) a)>
#<alt (* a (* (cos b) -1/2))>
#<alt (* a (- (* a (* (cos b) -1/2)) (sin b)))>
Outputs
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* b r))) (* -1/2 (* b r)))))>
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* 1/8 (* (pow a 2) (* b r))) (* -1/4 (* b r)))) (* -1/2 (* b r)))))>
#<alt (* -2 (/ (* b r) (pow a 2)))>
#<alt (/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2))>
#<alt (* -2 (/ (* b r) (pow a 2)))>
#<alt (/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (* -1/2 (pow a 2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))>
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#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* a b)>
#<alt (* b (+ a (* -1/6 (* a (pow b 2)))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 a)>
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))>
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))>
#<alt (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* -1/2 (pow a 2))>
#<alt (+ (* -1 (* a b)) (* -1/2 (pow a 2)))>
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b)))))>
#<alt (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
#<alt (* a (- (* -1/2 (* a (cos b))) (sin b)))>
Calls

129 calls:

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

rewrite391.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
3424×/-lowering-/.f32
3424×/-lowering-/.f64
3302×*-lowering-*.f32
3302×*-lowering-*.f64
2254×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033174
1196169
21657152
08540152
Stop Event
iter limit
node limit
Counts
22 → 535
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))
(* r (sin b))
(sin b)
(/ (* r b) (+ 1 (* -1/2 (* a a))))
(* r b)
(+ 1 (* -1/2 (* a a)))
(* -1/2 (* a a))
(/ (* r (sin b)) (cos a))
(cos a)
(/ r (/ (- (cos b) (* (sin b) a)) (sin b)))
(/ (- (cos b) (* (sin b) a)) (sin b))
(- (cos b) (* (sin b) a))
(cos b)
(/ r (/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b)))
(/ (+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b)))) (sin b))
(+ (cos b) (* a (- (* a (* (cos b) -1/2)) (sin b))))
(* (cos b) (cos a))
(* a a)
(* (sin b) a)
(* a (* (cos b) -1/2))
(* a (- (* a (* (cos b) -1/2)) (sin b)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+.f64 (cos.f64 (+.f64 b a)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(cos.f64 (+.f64 b a))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a)) (-.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a))))))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(*.f64 (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) a)

simplify403.0ms (3.1%)

Algorithm
egg-herbie
Rules
6608×*-lowering-*.f32
6608×*-lowering-*.f64
2810×+-lowering-+.f64
2810×+-lowering-+.f32
1774×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06836347
123645888
083575888
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (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))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* b r))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* 1/8 (* (pow a 2) (* b r))) (* -1/4 (* b r)))) (* -1/2 (* b r)))))
(* -2 (/ (* b r) (pow a 2)))
(/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2))
(/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2))
(/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2))
(* -2 (/ (* b r) (pow a 2)))
(/ (+ (* -4 (/ (* b r) (pow a 2))) (* -2 (* b r))) (pow a 2))
(/ (- (+ (* -8 (/ (* b r) (pow a 4))) (* -2 (* b r))) (* 4 (/ (* b r) (pow a 2)))) (pow a 2))
(/ (- (+ (* -16 (/ (* b r) (pow a 6))) (* -2 (* b r))) (+ (* 4 (/ (* b r) (pow a 2))) (* 8 (/ (* b r) (pow a 4))))) (pow a 2))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* -1/2 (pow a 2)))
(* -1/2 (pow a 2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* -1/2 (pow a 2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(* -1/2 (pow a 2))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* b r) (cos a))
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(* r (sin b))
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(* b r)
(* b (+ r (* a (* b r))))
(* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))
(* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (/ (* a (* r (pow (sin b) 3))) (pow (cos b) 3)) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (/ (* a (* r (pow (sin b) 4))) (pow (cos b) 4)) (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* -1 (/ r a))
(/ (+ (* -1 r) (* -1 (/ (* r (cos b)) (* a (sin b))))) a)
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (cos b)) (* a (sin b)))) a)
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a)
(* -1 (/ r a))
(* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a))
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a))
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a))
(/ 1 b)
(/ (+ 1 (* -1 (* a b))) b)
(/ (+ 1 (* b (+ (* -1 a) (* -1/3 b)))) b)
(/ (+ 1 (* b (+ (* -1 a) (* b (- (* -1/45 (pow b 2)) 1/3))))) b)
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (- (cos b) (* a (sin b))) (sin b))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* -1 a) (/ (cos b) (sin b)))
(* -1 a)
(* a (- (/ (cos b) (* a (sin b))) 1))
(* a (- (/ (cos b) (* a (sin b))) 1))
(* a (- (/ (cos b) (* a (sin b))) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ (cos b) (* a (sin b)))))))
(* -1 (* a (+ 1 (* -1 (/ (cos b) (* a (sin b)))))))
(* -1 (* a (+ 1 (* -1 (/ (cos b) (* a (sin b)))))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* b (- (* -1/2 b) a)))
(+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* -1 (* a (sin b))))
(* -1 (* a (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* -1 (* a (sin b)))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* a (* b r)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* r (- (* 1/4 (pow a 2)) 1/2))) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (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))) (/ (* (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)))
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2))
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))
(/ (+ 1 (* -1/2 (pow a 2))) b)
(/ (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) b)
(/ (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) (+ 1/2 (* -1/6 (+ 1 (* -1/2 (pow a 2))))))))))) b)
(/ (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/4 (pow a 2)) (* (pow b 2) (- (+ 1/24 (* -1/48 (pow a 2))) (+ (* -1/6 (- (* 1/4 (pow a 2)) (+ 1/2 (* -1/6 (+ 1 (* -1/2 (pow a 2))))))) (* 1/120 (+ 1 (* -1/2 (pow a 2)))))))) (+ 1/2 (* -1/6 (+ 1 (* -1/2 (pow a 2))))))))))) b)
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (sin b))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(* -1/2 (/ (* (pow a 2) (cos b)) (sin b)))
(* (pow a 2) (- (* -1/2 (/ (cos b) (sin b))) (/ 1 a)))
(* (pow a 2) (- (+ (* -1/2 (/ (cos b) (sin b))) (/ (cos b) (* (pow a 2) (sin b)))) (/ 1 a)))
(* (pow a 2) (- (+ (* -1/2 (/ (cos b) (sin b))) (/ (cos b) (* (pow a 2) (sin b)))) (/ 1 a)))
(* -1/2 (/ (* (pow a 2) (cos b)) (sin b)))
(* (pow a 2) (- (* -1/2 (/ (cos b) (sin b))) (/ 1 a)))
(* (pow a 2) (+ (* -1 (/ (+ 1 (* -1 (/ (cos b) (* a (sin b))))) a)) (* -1/2 (/ (cos b) (sin b)))))
(* (pow a 2) (+ (* -1 (/ (+ 1 (* -1 (/ (cos b) (* a (sin b))))) a)) (* -1/2 (/ (cos b) (sin b)))))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin 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)) (* -1/2 (* a (cos b))))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* a b)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* -1/2 (pow a 2))
(+ (* -1 (* a b)) (* -1/2 (pow a 2)))
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b)))))
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (-.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* a b)
(*.f64 b a)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(*.f64 b (+.f64 a (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(*.f64 b (+.f64 a (*.f64 b (*.f64 b (+.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(*.f64 b (+.f64 a (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))) (*.f64 a #s(literal 1/120 binary64))))))))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 a)
(*.f64 a #s(literal -1/2 binary64))
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/4 binary64))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (*.f64 b (*.f64 a #s(literal -1/48 binary64)))) (*.f64 a #s(literal 1/4 binary64)))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(+.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 b b) (+.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/1440 binary64))))))))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1 (* a (sin b)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* -1/2 (* (pow a 2) (cos b)))
(*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))
(* -1/2 (* (pow a 2) (cos b)))
(*.f64 a (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)))
(* -1/2 (pow a 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 a a))
(+ (* -1 (* a b)) (* -1/2 (pow a 2)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* 1/4 (* (pow a 2) b)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (*.f64 a (*.f64 a #s(literal 1/4 binary64)))) a)))
(+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (+ (* 1/6 (* a b)) (* 1/4 (pow a 2)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 b (*.f64 a #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #s(literal 1/4 binary64))))) a)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))
(* a (- (* -1/2 (* a (cos b))) (sin b)))
(*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))

eval213.0ms (1.6%)

Compiler

Compiled 29752 to 2800 computations (90.6% saved)

prune262.0ms (2%)

Pruning

103 alts after pruning (96 fresh and 7 done)

PrunedKeptTotal
New1240271267
Fresh106979
Picked145
Done033
Total12511031354
Accuracy
100.0%
Counts
1354 → 103
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
75.5%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
52.9%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))
75.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
20.8%
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a))
6.9%
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a))
48.4%
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
53.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
63.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
54.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
63.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.7%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))))
76.0%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
98.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
49.6%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)))))
34.3%
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
75.6%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))
62.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
53.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
33.3%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
33.4%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
10.1%
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
99.4%
(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
98.8%
(/.f64 r (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)))
66.3%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))
99.4%
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
33.9%
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
60.8%
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
51.7%
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
35.1%
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
60.1%
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b)))
60.1%
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
49.8%
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b))
33.6%
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
34.6%
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
33.4%
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
54.5%
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
99.2%
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
49.2%
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
98.6%
(/.f64 r (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
61.9%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))
52.8%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b)))
62.0%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
52.9%
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
46.4%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b)))
49.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
63.3%
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b)))
62.1%
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
52.9%
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
48.8%
(/.f64 r (/.f64 (cos.f64 a) b))
38.6%
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
34.5%
(/.f64 r (/.f64 #s(literal 1 binary64) b))
99.4%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
60.8%
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
6.4%
(/.f64 r (-.f64 #s(literal 0 binary64) a))
32.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
75.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
60.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b))))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
52.4%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
75.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
75.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
98.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
99.3%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
60.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r)
46.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
70.9%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
71.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
75.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
62.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
52.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64)))
50.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
50.3%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r)))
75.5%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
29.7%
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
27.8%
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
75.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
53.0%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
75.6%
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
29.7%
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
48.8%
(*.f64 (/.f64 b (cos.f64 a)) r)
75.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
60.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
74.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
32.6%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
38.6%
(*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
53.0%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
38.7%
(*.f64 r (sin.f64 b))
34.6%
(*.f64 r b)
33.4%
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
48.8%
(*.f64 b (/.f64 r (cos.f64 a)))
8.8%
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
32.5%
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
34.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
24.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 4827 to 1894 computations (60.8% saved)

regimes243.0ms (1.9%)

Counts
147 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b)))
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r)
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a))
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b))
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a))))
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 (-.f64 b a))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.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 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(/.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 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(/.f64 r (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(+.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Calls

4 calls:

65.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
57.0ms
r
53.0ms
b
51.0ms
a
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes202.0ms (1.5%)

Counts
123 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b)))
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r)
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a))
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b))
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
Calls

4 calls:

57.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
51.0ms
r
44.0ms
b
35.0ms
a
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes202.0ms (1.5%)

Counts
121 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b)))
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r)
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a))
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b))
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) r))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
Calls

4 calls:

57.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
41.0ms
b
36.0ms
r
32.0ms
a
Results
AccuracySegmentsBranch
76.0%1r
76.0%1a
76.0%1b
76.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes159.0ms (1.2%)

Counts
114 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b))))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b))))) (sin.f64 b)))
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) r)
(/.f64 r (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (cos.f64 a))
(/.f64 r (/.f64 (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)))) b))
(/.f64 r (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (cos.f64 b))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (exp.f64 (log.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (pow.f64 (sqrt.f64 r) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(*.f64 b (+.f64 (/.f64 r (cos.f64 a)) (*.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
(/.f64 (*.f64 r (/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 a))
(/.f64 r (/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 a a) (-.f64 (+.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (/.f64 (cos.f64 b) a) a)) (/.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

4 calls:

51.0ms
a
36.0ms
b
31.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
31.0ms
r
Results
AccuracySegmentsBranch
75.7%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
75.7%1r
75.7%1a
75.7%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes69.0ms (0.5%)

Counts
47 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (sin.f64 b) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
Outputs
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
Calls

3 calls:

26.0ms
a
25.0ms
r
13.0ms
b
Results
AccuracySegmentsBranch
62.2%1r
76.1%3a
76.5%3b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.1%)

Counts
43 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
Outputs
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
76.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes41.0ms (0.3%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 a) (sin.f64 b)))
Outputs
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
Calls

3 calls:

13.0ms
a
12.0ms
b
12.0ms
r
Results
AccuracySegmentsBranch
53.0%1r
53.0%1a
53.0%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes52.0ms (0.4%)

Counts
40 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (+.f64 (*.f64 b (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) a)) #s(literal 1 binary64))))
Outputs
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
Calls

3 calls:

20.0ms
b
16.0ms
r
11.0ms
a
Results
AccuracySegmentsBranch
52.9%3b
49.2%1a
49.2%1r
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.2%)

Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
Outputs
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
52.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts
37 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (sin.f64 b)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 r (/.f64 (cos.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 r (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)) b))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))))
Outputs
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
52.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Counts
27 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) b))
Outputs
(*.f64 r (sin.f64 b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (sin.f64 b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
52.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
Outputs
(*.f64 r (sin.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (sin.f64 b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
52.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
(*.f64 r (sin.f64 b))
Outputs
(*.f64 r (sin.f64 b))
Calls

3 calls:

17.0ms
a
6.0ms
r
6.0ms
b
Results
AccuracySegmentsBranch
38.7%1r
38.7%1a
38.7%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.3%)

Accuracy

Total -21.6b remaining (-51.7%)

Threshold costs -21.6b (-51.7%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (-.f64 #s(literal 0 binary64) a))
(/.f64 r (/.f64 #s(literal 1 binary64) b))
(*.f64 b (*.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(*.f64 b (*.f64 (/.f64 r (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (*.f64 r b) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) r) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal -1/3 binary64)) a))) b))
(/.f64 r (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b a))) b))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal -1/720 binary64)))))))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 (*.f64 r (*.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(*.f64 b (+.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 r (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))) (/.f64 (*.f64 r (*.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))))))))) (/.f64 (*.f64 r a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))))))))
Outputs
(*.f64 r b)
Calls

3 calls:

21.0ms
b
6.0ms
r
6.0ms
a
Results
AccuracySegmentsBranch
34.6%1a
34.6%1b
34.6%1r
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch52.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.7625687425251072e-11
3.454809335368143e-6
25.0ms
-14349883.17366734
-234765.297074692
Results
26.0ms108×1valid
14.0ms148×0valid
Compiler

Compiled 370 to 269 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sin: 8.0ms (32.5% of total)
ival-cos: 8.0ms (32.5% of total)
ival-mult: 3.0ms (12.2% of total)
ival-add: 2.0ms (8.1% of total)
ival-div: 2.0ms (8.1% of total)
backward-pass: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
2.7625687425251072e-11
3.454809335368143e-6
24.0ms
-14349883.17366734
-234765.297074692
Results
26.0ms127×1valid
12.0ms129×0valid
Compiler

Compiled 370 to 269 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 9.0ms (34.9% of total)
ival-cos: 8.0ms (31% of total)
ival-mult: 3.0ms (11.6% of total)
ival-add: 2.0ms (7.7% of total)
ival-div: 2.0ms (7.7% of total)
backward-pass: 2.0ms (7.7% of total)
const: 0.0ms (0% of total)

bsearch96.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
50.0ms
3.454809335368143e-6
0.48256408473710244
42.0ms
-7742674566099505000.0
-2657266891348.2866
Results
47.0ms200×1valid
35.0ms88×0valid
Compiler

Compiled 522 to 373 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-cos: 14.0ms (36% of total)
ival-sin: 12.0ms (30.9% of total)
ival-mult: 4.0ms (10.3% of total)
ival-add: 3.0ms (7.7% of total)
ival-div: 3.0ms (7.7% of total)
backward-pass: 3.0ms (7.7% of total)
const: 0.0ms (0% of total)

bsearch79.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
3.454809335368143e-6
0.48256408473710244
42.0ms
-7742674566099505000.0
-2657266891348.2866
Results
49.0ms209×1valid
16.0ms79×0valid
Compiler

Compiled 522 to 373 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sin: 22.0ms (43.7% of total)
ival-cos: 14.0ms (27.8% of total)
ival-mult: 4.0ms (8% of total)
ival-add: 3.0ms (6% of total)
ival-div: 3.0ms (6% of total)
backward-pass: 3.0ms (6% of total)
const: 0.0ms (0% of total)

bsearch60.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
1516.5198380522038
219608209.44656968
26.0ms
-14349883.17366734
-234765.297074692
Results
26.0ms101×1valid
21.0ms155×0valid
Compiler

Compiled 338 to 237 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sin: 15.0ms (44.7% of total)
ival-cos: 10.0ms (29.8% of total)
ival-mult: 3.0ms (8.9% of total)
ival-add: 2.0ms (6% of total)
ival-div: 2.0ms (6% of total)
backward-pass: 1.0ms (3% of total)
const: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
13.37465258268199
1516.5198380522038
24.0ms
-14349883.17366734
-234765.297074692
Results
21.0ms95×1valid
21.0ms129×0valid
Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 13.0ms (42.9% of total)
ival-cos: 10.0ms (33% of total)
ival-mult: 3.0ms (9.9% of total)
ival-add: 2.0ms (6.6% of total)
ival-div: 2.0ms (6.6% of total)
backward-pass: 1.0ms (3.3% of total)
const: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
13.37465258268199
1516.5198380522038
24.0ms
-14349883.17366734
-234765.297074692
Results
24.0ms95×1valid
16.0ms129×0valid
Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sin: 14.0ms (47.5% of total)
ival-cos: 8.0ms (27.1% of total)
ival-mult: 3.0ms (10.2% of total)
ival-add: 2.0ms (6.8% of total)
ival-div: 2.0ms (6.8% of total)
backward-pass: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)

simplify37.0ms (0.3%)

Algorithm
egg-herbie
Rules
38×*-commutative_binary64
28×+-commutative_binary64
16×sub-neg_binary64
14×if-if-or-not_binary32
10×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087247
1142247
2159247
3168247
4172247
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 5076543969084869/2361183241434822606848 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/1180591620717411303424 binary64)) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(if (<=.f64 b #s(literal -112000000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -2700000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3200 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -250000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (sin.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 r b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 (-.f64 (+.f64 b a) b) a))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 b (+.f64 a (-.f64 b a)))) (cos.f64 (+.f64 a (-.f64 (+.f64 b a) b)))) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 5076543969084869/2361183241434822606848 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/1180591620717411303424 binary64)) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
(if (<=.f64 b #s(literal -240000 binary64)) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/1180591620717411303424 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(if (<=.f64 b #s(literal -112000000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))) (*.f64 r b)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -2700000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3200 binary64)) (/.f64 (*.f64 r b) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -250000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 (/.f64 b (cos.f64 a)) r) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -250000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -310000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 27/2 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (sin.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 r b)

soundness2.6s (20%)

Rules
6648×*-lowering-*.f32
6648×*-lowering-*.f64
5462×*-lowering-*.f32
5462×*-lowering-*.f64
4798×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04934388
117754101
265264101
080234101
05616002
119575598
270785598
087295598
031104
116791
2135691
0954791
0167937
1557880
21899847
37323847
08053847
089
1129
2159
3169
0169
033161
1181121
21445121
08528121
0819
13919
225319
3231419
01120519
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1046 to 606 computations (42.1% saved)

preprocess87.0ms (0.7%)

Remove

(negabs r)

Compiler

Compiled 780 to 324 computations (58.5% saved)

end0.0ms (0%)

Profiling

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