rsin A (should all be same)

Time bar (total: 13.5s)

analyze360.0ms (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: 116.0ms
ival-sin: 41.0ms (35.4% of total)
ival-mult: 25.0ms (21.6% of total)
ival-add: 18.0ms (15.5% of total)
ival-cos: 18.0ms (15.5% of total)
ival-div: 10.0ms (8.6% of total)
const: 2.0ms (1.7% of total)
backward-pass: 1.0ms (0.9% of total)

sample2.4s (17.5%)

Results
1.6s5908×1valid
482.0ms2348×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 387.0ms (34.5% of total)
ival-cos: 289.0ms (25.7% of total)
ival-mult: 123.0ms (11% of total)
ival-div: 117.0ms (10.4% of total)
backward-pass: 112.0ms (10% of total)
ival-add: 87.0ms (7.7% of total)
const: 8.0ms (0.7% of total)
Bogosity

preprocess86.0ms (0.6%)

Algorithm
egg-herbie
Rules
2148×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
5356093
6590193
7691293
8789893
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)) (sec (+ b a)))
(/ (* (neg r) (sin b)) (cos (+ a b)))
(* r (* (neg (sin b)) (sec (+ b a))))
(/ (* r (sin b)) (cos (+ (neg a) b)))
(* (* r (sin b)) (sec (- b a)))
(/ (* r (sin (neg b))) (cos (+ a (neg b))))
(* r (* (neg (sin b)) (sec (- b a))))
(neg (/ (* (neg r) (sin b)) (cos (+ a b))))
(* (* r (sin b)) (sec (+ b a)))
(neg (/ (* r (sin b)) (cos (+ (neg a) b))))
(* r (* (neg (sin b)) (sec (- b a))))
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b)))))
(* (* r (sin b)) (sec (- b a)))
(/ (* a (sin b)) (cos (+ r b)))
(* (* (sin b) a) (sec (+ r b)))
(/ (* b (sin r)) (cos (+ a r)))
(/ (* b (sin r)) (cos (+ r a)))
(/ (* r (sin a)) (cos (+ b a)))
(* r (* (sin a) (sec (+ b a))))
Symmetry

(negabs r)

explain229.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
62120(9.154752326257607e+111 -7.080219628638648e+294 7.706694970374197e-274)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
168.0ms360×1valid
17.0ms152×0valid
Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-sin: 53.0ms (51.6% of total)
backward-pass: 17.0ms (16.5% of total)
ival-cos: 16.0ms (15.6% of total)
ival-mult: 7.0ms (6.8% of total)
ival-add: 5.0ms (4.9% of total)
ival-div: 5.0ms (4.9% of total)
const: 1.0ms (1% 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
80.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

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

localize82.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
accuracy80.2%
(cos.f64 (+.f64 b a))
Results
63.0ms180×1valid
9.0ms76×0valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 12.0ms (32.1% of total)
ival-cos: 11.0ms (29.5% of total)
ival-mult: 5.0ms (13.4% of total)
backward-pass: 4.0ms (10.7% of total)
ival-add: 2.0ms (5.4% of total)
ival-div: 2.0ms (5.4% 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
r
@inf
(/ (* r (sin b)) (cos (+ b a)))
1.0ms
a
@0
(/ (* r (sin b)) (cos (+ b a)))

rewrite481.0ms (3.6%)

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
225619
3232719
01129019
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 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (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 r (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (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 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 1 binary64))
(*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (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 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 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (sin.f64 b) (/.f64 (-.f64 #s(literal 0 binary64) r) (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 r (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) 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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #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 r (-.f64 #s(literal 0 binary64) (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))))

simplify233.0ms (1.7%)

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
1557853
21904820
37378820
08114820
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 (*.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 (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 r (sin.f64 a)) (/.f64 #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 (*.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 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))) (neg.f64 (*.f64 (+.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.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))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) 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 (- 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 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 r (*.f64 b b)) (+.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 b (*.f64 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 #s(literal -1/6 binary64) (*.f64 b b))))
(* 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 b (*.f64 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))

eval30.0ms (0.2%)

Compiler

Compiled 4847 to 628 computations (87% saved)

prune72.0ms (0.5%)

Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New22036256
Fresh000
Picked101
Done000
Total22136257
Accuracy
99.9%
Counts
257 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
53.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
53.6%
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
53.4%
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
53.5%
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
99.6%
(/.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))))
99.6%
(/.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)))))
98.8%
(/.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))))))))
81.4%
(/.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))))))
80.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
80.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
79.8%
(/.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)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
61.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
61.0%
(/.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)))))
61.2%
(/.f64 (*.f64 r (sin.f64 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)))))))
54.5%
(/.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)))))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
63.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
57.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
53.8%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
53.7%
(/.f64 (*.f64 r b) (cos.f64 a))
80.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
79.2%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
79.2%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)))
79.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
80.0%
(*.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)))
80.1%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
80.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
80.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
80.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
80.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
80.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
80.1%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
37.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 1524 to 970 computations (36.4% saved)

simplify151.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 b))
cost-diff256
(*.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)))
cost-diff6464
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))
cost-diff6464
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff0
(cos.f64 a)
cost-diff0
(*.f64 r b)
cost-diff0
(/.f64 (*.f64 r b) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
cost-diff6400
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
Rules
1368×fnmadd-define
1278×*-lowering-*.f32
1278×*-lowering-*.f64
1192×fma-define
1012×div-sub
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032177
164173
2121169
3264169
4727169
51898168
63254168
74768168
08134168
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)))
r
(cos (+ b a))
(+ b a)
b
a
(sin b)
(/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b)))
(/ 1 (cos (+ b a)))
1
(cos (+ b a))
(+ b a)
b
a
(/ (/ 1 r) (sin b))
(/ 1 r)
r
(sin b)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(pow (/ -1 (sin b)) -1)
(/ -1 (sin b))
-1
(sin b)
b
(pow (/ (cos (+ b a)) (- 0 r)) -1)
(/ (cos (+ b a)) (- 0 r))
(cos (+ b a))
(+ b a)
a
(- 0 r)
0
r
Outputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(* 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 -1 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 b (/.f64 (cos.f64 a) r))
(* 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)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(sin b)
(sin.f64 b)
(/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
1
#s(literal 1 binary64)
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(/ (/ 1 r) (sin b))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)
(/ 1 r)
(/.f64 #s(literal 1 binary64) r)
r
(sin b)
(sin.f64 b)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow (/ -1 (sin b)) -1)
(-.f64 #s(literal 0 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
-1
#s(literal -1 binary64)
(sin b)
(sin.f64 b)
b
(pow (/ (cos (+ b a)) (- 0 r)) -1)
(/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a)))
(/ (cos (+ b a)) (- 0 r))
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a
(- 0 r)
(-.f64 #s(literal 0 binary64) r)
0
#s(literal 0 binary64)
r

localize465.0ms (3.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.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)))
accuracy99.7%
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))
accuracy99.6%
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
accuracy80.2%
(cos.f64 (+.f64 b a))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
accuracy98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
accuracy80.2%
(cos.f64 (+.f64 b a))
accuracy100.0%
(sin.f64 b)
accuracy99.7%
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy99.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy80.2%
(cos.f64 (+.f64 b a))
accuracy100.0%
(*.f64 r b)
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(/.f64 (*.f64 r b) (cos.f64 a))
accuracy99.9%
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
accuracy99.7%
(/.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
282.0ms178×1valid
80.0ms78×0valid
Compiler

Compiled 204 to 32 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-pow: 28.0ms (17.7% of total)
ival-cos: 27.0ms (17.1% of total)
ival-div: 24.0ms (15.2% of total)
ival-sin: 24.0ms (15.2% of total)
backward-pass: 19.0ms (12% of total)
ival-mult: 18.0ms (11.4% of total)
compiled-spec: 8.0ms (5.1% of total)
ival-sub: 5.0ms (3.2% of total)
ival-add: 4.0ms (2.5% of total)
const: 1.0ms (0.6% of total)

series89.0ms (0.7%)

Counts
20 → 528
Calls
Call 1
Inputs
#<alt (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))>
#<alt (/ (* r (sin b)) (+ (* (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 (/ r (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (+ b a)>
#<alt (/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b)))>
#<alt (/ 1 (cos (+ b a)))>
#<alt (pow (/ -1 (sin b)) -1)>
#<alt (pow (/ (cos (+ b a)) (- 0 r)) -1)>
#<alt (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))>
#<alt (/ -1 (sin b))>
#<alt (* (sin b) (- 0 (sin a)))>
#<alt (/ (/ 1 r) (sin b))>
#<alt (/ (cos (+ b a)) (- 0 r))>
Outputs
#<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)) (+ (* -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 (* 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 (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos b))>
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<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 (/ 1 (cos a))>
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))>
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos b))>
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (* -1 b)>
#<alt (* b (- (* 1/6 (pow b 2)) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (/ r (cos a)))>
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))>
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos b)))>
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))>
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))>
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (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)) (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 (/ -1 b)>
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)>
#<alt (/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)>
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin 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 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (* -1 (/ (cos a) r))>
#<alt (+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r))>
#<alt (+ (* -1 (/ (cos a) r)) (* b (+ (* 1/2 (/ (* b (cos a)) r)) (/ (sin a) r))))>
#<alt (+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) r)) (* 1/2 (/ (cos a) r)))) (/ (sin a) r))))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (- a (* -1 b))) r))>
#<alt (* -1 (/ (cos (- a (* -1 b))) r))>
#<alt (* -1 (/ (cos (- a (* -1 b))) r))>
#<alt (* -1 (/ (cos (- a (* -1 b))) r))>
#<alt (* -1 (/ (cos b) r))>
#<alt (+ (* -1 (/ (cos b) r)) (/ (* a (sin b)) r))>
#<alt (+ (* -1 (/ (cos b) r)) (* a (+ (* 1/2 (/ (* a (cos b)) r)) (/ (sin b) r))))>
#<alt (+ (* -1 (/ (cos b) r)) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) r)) (* 1/2 (/ (cos b) r)))) (/ (sin b) r))))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (- b (* -1 a))) r))>
#<alt (* -1 (/ (cos (- b (* -1 a))) r))>
#<alt (* -1 (/ (cos (- b (* -1 a))) r))>
#<alt (* -1 (/ (cos (- b (* -1 a))) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
#<alt (* -1 (/ (cos (+ a b)) r))>
Calls

132 calls:

TimeVariablePointExpression
34.0ms
b
@inf
(/ (/ 1 r) (sin b))
6.0ms
a
@-inf
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
4.0ms
a
@-inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
2.0ms
b
@0
(/ (cos (+ b a)) (- 0 r))
2.0ms
r
@0
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))

rewrite453.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
3822×/-lowering-/.f32
3822×/-lowering-/.f64
3626×*-lowering-*.f32
3626×*-lowering-*.f64
1584×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032153
1188104
21458104
08282104
Stop Event
iter limit
node limit
Counts
20 → 1269
Calls
Call 1
Inputs
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(/ (* r (sin b)) (+ (* (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))
(/ r (cos (+ b a)))
(cos (+ b a))
(+ b a)
(/ (/ 1 (cos (+ b a))) (/ (/ 1 r) (sin b)))
(/ 1 (cos (+ b a)))
(pow (/ -1 (sin b)) -1)
(pow (/ (cos (+ b a)) (- 0 r)) -1)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(/ -1 (sin b))
(* (sin b) (- 0 (sin a)))
(/ (/ 1 r) (sin b))
(/ (cos (+ b a)) (- 0 r))
Outputs
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (cos.f64 (+.f64 b a)) (+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (cos.f64 (+.f64 b a)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(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 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #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))))) (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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))))
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(*.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 b a)))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) r))))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.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))) #s(literal -1 binary64)) (/.f64 (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) r))
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) r))
(*.f64 (/.f64 (-.f64 (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 0 binary64) (*.f64 r (*.f64 r r)))) (/.f64 (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (/.f64 #s(literal 1 binary64) (*.f64 r r))))
(*.f64 (/.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 0 binary64) (*.f64 r r))) (/.f64 (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r))))
(*.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) r)))

simplify332.0ms (2.5%)

Algorithm
egg-herbie
Rules
4794×*-lowering-*.f32
4794×*-lowering-*.f64
1982×+-lowering-+.f64
1982×+-lowering-+.f32
1832×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05095812
118015251
264335215
080135215
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
(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)) (+ (* -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))))
(* 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))))
(/ 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))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(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)))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(* -1 b)
(* b (- (* 1/6 (pow b 2)) 1))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (/ r (cos a)))
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos b)))
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (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)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ -1 b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(* -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 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(* -1 (/ (cos a) r))
(+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r))
(+ (* -1 (/ (cos a) r)) (* b (+ (* 1/2 (/ (* b (cos a)) r)) (/ (sin a) r))))
(+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) r)) (* 1/2 (/ (cos a) r)))) (/ (sin a) r))))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (- a (* -1 b))) r))
(* -1 (/ (cos (- a (* -1 b))) r))
(* -1 (/ (cos (- a (* -1 b))) r))
(* -1 (/ (cos (- a (* -1 b))) r))
(* -1 (/ (cos b) r))
(+ (* -1 (/ (cos b) r)) (/ (* a (sin b)) r))
(+ (* -1 (/ (cos b) r)) (* a (+ (* 1/2 (/ (* a (cos b)) r)) (/ (sin b) r))))
(+ (* -1 (/ (cos b) r)) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) r)) (* 1/2 (/ (cos b) r)))) (/ (sin b) r))))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (- b (* -1 a))) r))
(* -1 (/ (cos (- b (* -1 a))) r))
(* -1 (/ (cos (- b (* -1 a))) r))
(* -1 (/ (cos (- b (* -1 a))) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
(* -1 (/ (cos (+ a b)) r))
Outputs
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* b r) (cos a))
(/.f64 (*.f64 b r) (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 (sin.f64 a) r) (/.f64 b (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 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 a) r) (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))))
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a
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b
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b
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a
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(/ (* r (sin b)) (cos b))
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(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))
(* -1 (/ (cos (+ a b)) r))
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))
(* -1 (/ (cos (+ a b)) r))
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))

eval317.0ms (2.4%)

Compiler

Compiled 52660 to 3632 computations (93.1% saved)

prune410.0ms (3%)

Pruning

81 alts after pruning (80 fresh and 1 done)

PrunedKeptTotal
New2133692202
Fresh201131
Picked415
Done000
Total2157812238
Accuracy
100.0%
Counts
2238 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.3%
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
99.5%
(/.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)))))
80.0%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
61.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
73.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
79.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
52.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
52.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
52.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
53.3%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
53.2%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b))
52.9%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
45.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 0 binary64) r)))
79.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
39.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
63.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
56.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
50.7%
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.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)))))
79.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
79.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
54.7%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (sin.f64 b) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
53.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
99.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
63.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
53.6%
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
53.4%
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
53.5%
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
22.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #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 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
46.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))
99.1%
(/.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))))
99.6%
(/.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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
46.6%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))))
80.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
61.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
57.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
35.1%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))
35.0%
(/.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)))))))))
35.2%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
53.8%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
53.7%
(/.f64 (*.f64 r b) (cos.f64 a))
80.0%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
80.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
79.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
63.5%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64)))
57.7%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
57.7%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64))))
49.2%
(*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)))
79.7%
(*.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))))
46.7%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) (/.f64 (sin.f64 b) r))
49.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) r)) (sin.f64 b))
45.9%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
80.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
99.6%
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.6%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
61.6%
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (sin.f64 b))
56.0%
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b))
61.2%
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (sin.f64 b))
54.5%
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b))
73.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
53.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
68.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b))
63.7%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
57.8%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
53.7%
(*.f64 (/.f64 b (cos.f64 a)) r)
27.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b))
80.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
80.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b))
60.5%
(*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b))
49.3%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))) (sin.f64 b))
80.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
27.1%
(*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b))
54.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
53.7%
(*.f64 b (/.f64 r (cos.f64 a)))
37.0%
(*.f64 b r)
37.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
Compiler

Compiled 3253 to 2118 computations (34.9% saved)

simplify207.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
cost-diff0
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))
cost-diff512
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
cost-diff0
(sin.f64 b)
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
cost-diff0
(*.f64 b r)
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
cost-diff6400
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
Rules
1804×*-lowering-*.f32
1804×*-lowering-*.f64
1462×fnmsub-define
1454×fmsub-define
1344×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033187
175184
2146181
3387176
41253169
54173169
66627169
08395169
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)
(* b r)
b
r
(* (/ r (cos a)) (sin b))
(/ r (cos a))
r
(cos a)
a
(sin b)
b
(* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r))
(/ (sin b) (/ (cos (+ b a)) (- 0 (* r r))))
(sin b)
b
(/ (cos (+ b a)) (- 0 (* r r)))
(cos (+ b a))
(+ b a)
a
(- 0 (* r r))
0
(* r r)
r
(/ -1 r)
-1
(/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1)))
(/ 1 (cos (+ b a)))
1
(cos (+ b a))
(+ b a)
b
a
(exp (* (log (* (sin b) r)) -1))
(* (log (* (sin b) r)) -1)
(log (* (sin b) r))
(* (sin b) r)
(sin b)
r
-1
Outputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* 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)
(* b r)
(*.f64 r b)
b
r
(* (/ r (cos a)) (sin b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
r
(cos a)
(cos.f64 a)
a
(sin b)
(sin.f64 b)
b
(* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (sin b) (/ (cos (+ b a)) (- 0 (* r r))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))
(sin b)
(sin.f64 b)
b
(/ (cos (+ b a)) (- 0 (* r r)))
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
a
(- 0 (* r r))
(-.f64 #s(literal 0 binary64) (*.f64 r r))
0
#s(literal 0 binary64)
(* r r)
(*.f64 r r)
r
(/ -1 r)
(/.f64 #s(literal -1 binary64) r)
-1
#s(literal -1 binary64)
(/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
1
#s(literal 1 binary64)
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(exp (* (log (* (sin b) r)) -1))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)
(* (log (* (sin b) r)) -1)
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
(log (* (sin b) r))
(log.f64 (*.f64 r (sin.f64 b)))
(* (sin b) r)
(*.f64 r (sin.f64 b))
(sin b)
(sin.f64 b)
r
-1
#s(literal -1 binary64)

localize283.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
accuracy96.2%
(log.f64 (*.f64 (sin.f64 b) r))
accuracy95.9%
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
accuracy88.3%
(cos.f64 (+.f64 b a))
accuracy99.1%
(/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))
accuracy97.5%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))
accuracy88.3%
(cos.f64 (+.f64 b a))
accuracy81.3%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(cos.f64 a)
accuracy99.9%
(/.f64 r (cos.f64 a))
accuracy99.8%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
accuracy100.0%
(*.f64 b r)
accuracy99.9%
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy99.9%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.9%
(*.f64 r (sin.f64 b))
accuracy99.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Results
129.0ms83×1valid
70.0ms131×0invalid
33.0ms42×0valid
Compiler

Compiled 204 to 33 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 24.0ms (19.9% of total)
backward-pass: 23.0ms (19.1% of total)
ival-cos: 19.0ms (15.8% of total)
ival-sin: 17.0ms (14.1% of total)
ival-div: 14.0ms (11.6% of total)
ival-log: 8.0ms (6.6% of total)
compiled-spec: 5.0ms (4.2% of total)
ival-add: 3.0ms (2.5% of total)
ival-exp: 3.0ms (2.5% of total)
ival-sub: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% of total)
const: 1.0ms (0.8% of total)

series155.0ms (1.2%)

Counts
17 → 456
Calls
Call 1
Inputs
#<alt (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))>
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (* b r)>
#<alt (* (/ r (cos a)) (sin b))>
#<alt (/ r (cos a))>
#<alt (cos a)>
#<alt (* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r))>
#<alt (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r))))>
#<alt (/ (cos (+ b a)) (- 0 (* r r)))>
#<alt (exp (* (log (* (sin b) r)) -1))>
#<alt (/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1)))>
#<alt (/ 1 (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (* (sin b) (sin a))>
#<alt (log (* (sin b) r))>
Outputs
#<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)) (- (* (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 (* 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 (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt r>
#<alt (+ r (* 1/2 (* (pow a 2) r)))>
#<alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<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 (+ (/ 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 (* -1 (/ (* b (pow r 2)) (cos a)))>
#<alt (* b (+ (* -1 (/ (* b (* (pow r 2) (sin a))) (pow (cos a) 2))) (* -1 (/ (pow r 2) (cos a)))))>
#<alt (* b (+ (* -1 (/ (pow r 2) (cos a))) (* b (+ (* -1 (* b (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a))))))) (* -1 (/ (* (pow r 2) (sin a)) (pow (cos a) 2)))))))>
#<alt (* b (+ (* -1 (/ (pow r 2) (cos a))) (* b (+ (* -1 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a)))))) (cos a))) (+ (* -1/2 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))))))))))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (+ (* -1 (/ (* a (* (pow r 2) (pow (sin b) 2))) (pow (cos b) 2))) (* -1 (/ (* (pow r 2) (sin b)) (cos b))))>
#<alt (+ (* -1 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))))))))>
#<alt (+ (* -1 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (+ (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1/2 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))))) (cos b)))))))))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (cos a) (pow r 2)))>
#<alt (+ (* -1 (/ (cos a) (pow r 2))) (/ (* b (sin a)) (pow r 2)))>
#<alt (+ (* -1 (/ (cos a) (pow r 2))) (* b (+ (* 1/2 (/ (* b (cos a)) (pow r 2))) (/ (sin a) (pow r 2)))))>
#<alt (+ (* -1 (/ (cos a) (pow r 2))) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) (pow r 2))) (* 1/2 (/ (cos a) (pow r 2))))) (/ (sin a) (pow r 2)))))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (- a (* -1 b))) (pow r 2)))>
#<alt (* -1 (/ (cos (- a (* -1 b))) (pow r 2)))>
#<alt (* -1 (/ (cos (- a (* -1 b))) (pow r 2)))>
#<alt (* -1 (/ (cos (- a (* -1 b))) (pow r 2)))>
#<alt (* -1 (/ (cos b) (pow r 2)))>
#<alt (+ (* -1 (/ (cos b) (pow r 2))) (/ (* a (sin b)) (pow r 2)))>
#<alt (+ (* -1 (/ (cos b) (pow r 2))) (* a (+ (* 1/2 (/ (* a (cos b)) (pow r 2))) (/ (sin b) (pow r 2)))))>
#<alt (+ (* -1 (/ (cos b) (pow r 2))) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) (pow r 2))) (* 1/2 (/ (cos b) (pow r 2))))) (/ (sin b) (pow r 2)))))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (- b (* -1 a))) (pow r 2)))>
#<alt (* -1 (/ (cos (- b (* -1 a))) (pow r 2)))>
#<alt (* -1 (/ (cos (- b (* -1 a))) (pow r 2)))>
#<alt (* -1 (/ (cos (- b (* -1 a))) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (* -1 (/ (cos (+ a b)) (pow r 2)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (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 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 (/ 1 (cos a))>
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))>
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos b))>
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<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 (* 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 (+ (log b) (log r))>
#<alt (+ (log b) (+ (log r) (* -1/6 (pow b 2))))>
#<alt (+ (log b) (+ (log r) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6))))>
#<alt (+ (log b) (+ (log r) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6))))>
#<alt (log (* r (sin b)))>
#<alt (log (* r (sin b)))>
#<alt (log (* r (sin b)))>
#<alt (log (* r (sin b)))>
#<alt (log (* r (sin b)))>
#<alt (log (* r (sin b)))>
#<alt (log (* r (sin b)))>
#<alt (log (* r (sin b)))>
#<alt (+ (log r) (log (sin b)))>
#<alt (+ (log r) (log (sin b)))>
#<alt (+ (log r) (log (sin b)))>
#<alt (+ (log r) (log (sin b)))>
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))>
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))>
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))>
#<alt (+ (log (sin b)) (* -1 (log (/ 1 r))))>
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))>
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))>
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))>
#<alt (+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))>
Calls

114 calls:

TimeVariablePointExpression
41.0ms
b
@inf
(log (* (sin b) r))
37.0ms
r
@0
(log (* (sin b) r))
22.0ms
r
@-inf
(log (* (sin b) r))
16.0ms
b
@-inf
(log (* (sin b) r))
6.0ms
r
@inf
(log (* (sin b) r))

rewrite397.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
3656×/-lowering-/.f32
3656×/-lowering-/.f64
3564×*-lowering-*.f32
3564×*-lowering-*.f64
1850×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033102
1173101
2136598
0821998
Stop Event
iter limit
node limit
Counts
17 → 794
Calls
Call 1
Inputs
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(* r (sin b))
(sin b)
(* b r)
(* (/ r (cos a)) (sin b))
(/ r (cos a))
(cos a)
(* (/ (sin b) (/ (cos (+ b a)) (- 0 (* r r)))) (/ -1 r))
(/ (sin b) (/ (cos (+ b a)) (- 0 (* r r))))
(/ (cos (+ b a)) (- 0 (* r r)))
(exp (* (log (* (sin b) r)) -1))
(/ (/ 1 (cos (+ b a))) (exp (* (log (* (sin b) r)) -1)))
(/ 1 (cos (+ b a)))
(cos (+ b a))
(* (sin b) (sin a))
(log (* (sin b) r))
Outputs
(+.f64 (*.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 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.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 (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))))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(cos.f64 (+.f64 b a))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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))))) (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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))))
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(/.f64 (neg.f64 (-.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 (neg.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 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 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 (*.f64 (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.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 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) #s(literal 3 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 #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 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b 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))))) (cos.f64 (-.f64 b 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))))) (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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #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 (+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(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) (-.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 (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 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 b a)) (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) (-.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 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
(*.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) (-.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))))) #s(literal 1 binary64)) (/.f64 (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))))) (*.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 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 (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)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(log.f64 (*.f64 (sin.f64 b) r))
(+.f64 (log.f64 (sin.f64 b)) (log.f64 r))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(-.f64 (/.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (log.f64 (/.f64 (sin.f64 b) r))) (/.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (log.f64 (/.f64 (sin.f64 b) r))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 r) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 b)) (log.f64 r)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (log.f64 r) #s(literal 2 binary64))) (log.f64 (/.f64 (sin.f64 b) r)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 r) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 b)) (log.f64 r))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (log.f64 r) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (sin.f64 b) r))))
(/.f64 (+.f64 (pow.f64 (log.f64 r) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 r) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (log.f64 r) (log.f64 (sin.f64 b))))))

simplify324.0ms (2.4%)

Algorithm
egg-herbie
Rules
5332×*-lowering-*.f32
5332×*-lowering-*.f64
1998×+-lowering-+.f64
1998×+-lowering-+.f32
1606×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05255178
118464671
267624635
080394635
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(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)) (- (* (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))))
(* 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))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (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)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (/ (* b (pow r 2)) (cos a)))
(* b (+ (* -1 (/ (* b (* (pow r 2) (sin a))) (pow (cos a) 2))) (* -1 (/ (pow r 2) (cos a)))))
(* b (+ (* -1 (/ (pow r 2) (cos a))) (* b (+ (* -1 (* b (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a))))))) (* -1 (/ (* (pow r 2) (sin a)) (pow (cos a) 2)))))))
(* b (+ (* -1 (/ (pow r 2) (cos a))) (* b (+ (* -1 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a)))))) (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ (pow r 2) (cos a))) (+ (* -1 (/ (* (pow r 2) (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ (pow r 2) (cos a)))))) (cos a))) (+ (* -1/2 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* (pow r 2) (sin a)) (pow (cos a) 2))))))))))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(+ (* -1 (/ (* a (* (pow r 2) (pow (sin b) 2))) (pow (cos b) 2))) (* -1 (/ (* (pow r 2) (sin b)) (cos b))))
(+ (* -1 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))))))))
(+ (* -1 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (+ (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))) (* a (+ (* -1/2 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* (pow r 2) (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow r 2) (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* (pow r 2) (sin b)) (cos b))))) (cos b)))))))))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (- b (* -1 a)))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (* (pow r 2) (sin b)) (cos (+ a b))))
(* -1 (/ (cos a) (pow r 2)))
(+ (* -1 (/ (cos a) (pow r 2))) (/ (* b (sin a)) (pow r 2)))
(+ (* -1 (/ (cos a) (pow r 2))) (* b (+ (* 1/2 (/ (* b (cos a)) (pow r 2))) (/ (sin a) (pow r 2)))))
(+ (* -1 (/ (cos a) (pow r 2))) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) (pow r 2))) (* 1/2 (/ (cos a) (pow r 2))))) (/ (sin a) (pow r 2)))))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (- a (* -1 b))) (pow r 2)))
(* -1 (/ (cos (- a (* -1 b))) (pow r 2)))
(* -1 (/ (cos (- a (* -1 b))) (pow r 2)))
(* -1 (/ (cos (- a (* -1 b))) (pow r 2)))
(* -1 (/ (cos b) (pow r 2)))
(+ (* -1 (/ (cos b) (pow r 2))) (/ (* a (sin b)) (pow r 2)))
(+ (* -1 (/ (cos b) (pow r 2))) (* a (+ (* 1/2 (/ (* a (cos b)) (pow r 2))) (/ (sin b) (pow r 2)))))
(+ (* -1 (/ (cos b) (pow r 2))) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) (pow r 2))) (* 1/2 (/ (cos b) (pow r 2))))) (/ (sin b) (pow r 2)))))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (- b (* -1 a))) (pow r 2)))
(* -1 (/ (cos (- b (* -1 a))) (pow r 2)))
(* -1 (/ (cos (- b (* -1 a))) (pow r 2)))
(* -1 (/ (cos (- b (* -1 a))) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(* -1 (/ (cos (+ a b)) (pow r 2)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(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)))
(* 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))
(+ (log b) (log r))
(+ (log b) (+ (log r) (* -1/6 (pow b 2))))
(+ (log b) (+ (log r) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6))))
(+ (log b) (+ (log r) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6))))
(log (* r (sin b)))
(log (* r (sin b)))
(log (* r (sin b)))
(log (* r (sin b)))
(log (* r (sin b)))
(log (* r (sin b)))
(log (* r (sin b)))
(log (* r (sin b)))
(+ (log r) (log (sin b)))
(+ (log r) (log (sin b)))
(+ (log r) (log (sin b)))
(+ (log r) (log (sin b)))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
Outputs
(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 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (sin.f64 a))))
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(+.f64 (/.f64 (*.f64 (sin.f64 b) r) (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 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (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 (sin.f64 b) (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))) (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ 1 (cos a))
(/.f64 #s(literal 1 binary64) (cos.f64 a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 b (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (+.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (*.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)))))))))))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos b))
(/.f64 #s(literal 1 binary64) (cos.f64 b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (*.f64 a (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 a (+.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (+ a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- b (* -1 a))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a 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 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (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 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))) (sin.f64 a))))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (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 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (sin.f64 b))))) (sin.f64 b))))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(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))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (+.f64 (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (sin.f64 a)) (*.f64 (*.f64 (sin.f64 a) (+.f64 #s(literal 1/120 binary64) (*.f64 b (*.f64 b #s(literal -1/5040 binary64))))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* a (sin b))
(*.f64 a (sin.f64 b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (+.f64 (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 a a)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)) (*.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) #s(literal 1/120 binary64))))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(+ (log b) (log r))
(+.f64 (log.f64 b) (log.f64 r))
(+ (log b) (+ (log r) (* -1/6 (pow b 2))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) (+.f64 (log.f64 b) (log.f64 r)))
(+ (log b) (+ (log r) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6))))
(+.f64 (log.f64 r) (+.f64 (log.f64 b) (*.f64 b (*.f64 b (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal -1/180 binary64)))))))
(+ (log b) (+ (log r) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6))))
(+.f64 (log.f64 r) (+.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 b b) #s(literal -1/2835 binary64))) b) b))) (log.f64 b)))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(log (* r (sin b)))
(log.f64 (*.f64 (sin.f64 b) r))
(+ (log r) (log (sin b)))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log r) (log (sin b)))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log r) (log (sin b)))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log r) (log (sin b)))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log (sin b)) (* -1 (log (/ 1 r))))
(+.f64 (log.f64 r) (log.f64 (sin.f64 b)))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r)))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r)))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r)))
(+ (log (* -1 (sin b))) (* -1 (log (/ -1 r))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b))) (log.f64 (/.f64 #s(literal -1 binary64) r)))

eval207.0ms (1.5%)

Compiler

Compiled 38181 to 3059 computations (92% saved)

prune300.0ms (2.2%)

Pruning

90 alts after pruning (86 fresh and 4 done)

PrunedKeptTotal
New1435271462
Fresh165975
Picked235
Done011
Total1453901543
Accuracy
100.0%
Counts
1543 → 90
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.3%
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
45.9%
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r r))) r)
99.5%
(/.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)))))
80.0%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
61.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
73.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
28.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
79.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
52.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
52.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
52.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
53.3%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
52.9%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
79.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
63.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
33.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
30.7%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
53.8%
(/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
99.4%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
50.7%
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.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)))))
79.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
53.5%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
99.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
63.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
57.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
53.6%
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
53.4%
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
46.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))
99.1%
(/.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))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
65.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.9%
(/.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) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
46.6%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))))
80.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
61.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
56.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
35.1%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))
35.0%
(/.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)))))))))
35.2%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
53.7%
(/.f64 (*.f64 r b) (cos.f64 a))
80.0%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
80.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
79.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
63.5%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64)))
57.7%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64))))
49.2%
(*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)))
79.7%
(*.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))))
45.8%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r))))
43.0%
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
22.6%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r))
53.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
35.4%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
47.7%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r))
46.3%
(*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r))
19.8%
(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r))
80.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
99.6%
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.6%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
61.6%
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b))
61.2%
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (sin.f64 b))
54.5%
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b))
37.9%
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b))
73.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
53.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
68.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b))
63.7%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
53.6%
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
57.8%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
53.7%
(*.f64 (/.f64 r (cos.f64 a)) b)
53.7%
(*.f64 (/.f64 b (cos.f64 a)) r)
27.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b))
80.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
57.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b))
80.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b))
79.2%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))))
33.6%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
60.5%
(*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b))
80.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
27.1%
(*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b))
57.7%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
41.6%
(*.f64 (sin.f64 b) r)
21.8%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r))
44.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b))
57.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
37.0%
(*.f64 b r)
37.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
Compiler

Compiled 3464 to 2275 computations (34.3% saved)

simplify142.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(*.f64 r (*.f64 (sin.f64 b) r))
cost-diff0
(/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b)))
cost-diff512
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
cost-diff0
(sin.f64 b)
cost-diff0
(cos.f64 b)
cost-diff0
(/.f64 r (cos.f64 b))
cost-diff0
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
cost-diff0
(*.f64 a (*.f64 a #s(literal -1/2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))
cost-diff0
(*.f64 r b)
cost-diff0
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
cost-diff0
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
Rules
1494×fma-lowering-fma.f32
1494×fma-lowering-fma.f64
1458×fma-define
1308×fnmadd-define
1282×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033187
185180
2201180
3565180
41820180
53811180
65762180
08150180
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* (sin b) r)
(sin b)
b
r
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* (cos a) (cos b))
(cos a)
a
(cos b)
(* (sin a) (sin b))
(sin a)
(/ (* r b) (+ 1 (* a (* a -1/2))))
(* r b)
r
b
(+ 1 (* a (* a -1/2)))
1
(* a (* a -1/2))
a
(* a -1/2)
-1/2
(* (/ r (cos b)) (sin b))
(/ r (cos b))
r
(cos b)
b
(sin b)
(* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r))
(/ (* r (* (sin b) r)) (* -1 (cos b)))
(* r (* (sin b) r))
r
(* (sin b) r)
(sin b)
b
(* -1 (cos b))
-1
(cos b)
(/ -1 r)
(/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2))
(/ 1 (cos (+ b a)))
1
(cos (+ b a))
(+ b a)
b
a
(pow (* (* (sin b) r) (* (sin b) r)) -1/2)
(* (* (sin b) r) (* (sin b) r))
(* (sin b) r)
(sin b)
r
-1/2
Outputs
(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* (sin b) r)
(*.f64 (sin.f64 b) r)
(sin b)
(sin.f64 b)
b
r
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
a
(cos b)
(cos.f64 b)
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin a)
(sin.f64 a)
(/ (* r b) (+ 1 (* a (* a -1/2))))
(/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(* r b)
(*.f64 b r)
r
b
(+ 1 (* a (* a -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* a (* a -1/2))
(*.f64 a (*.f64 a #s(literal -1/2 binary64)))
a
(* a -1/2)
(*.f64 a #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (/ r (cos b)) (sin b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/ r (cos b))
(/.f64 r (cos.f64 b))
r
(cos b)
(cos.f64 b)
b
(sin b)
(sin.f64 b)
(* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/ (* r (* (sin b) r)) (* -1 (cos b)))
(/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (cos.f64 b)))
(* r (* (sin b) r))
(*.f64 r (*.f64 (sin.f64 b) r))
r
(* (sin b) r)
(*.f64 (sin.f64 b) r)
(sin b)
(sin.f64 b)
b
(* -1 (cos b))
(-.f64 #s(literal 0 binary64) (cos.f64 b))
-1
#s(literal -1 binary64)
(cos b)
(cos.f64 b)
(/ -1 r)
(/.f64 #s(literal -1 binary64) r)
(/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (pow.f64 (*.f64 (sin.f64 b) (*.f64 r (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64))))
(/ 1 (cos (+ b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
1
#s(literal 1 binary64)
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(pow (* (* (sin b) r) (* (sin b) r)) -1/2)
(pow.f64 (*.f64 (sin.f64 b) (*.f64 r (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64))
(* (* (sin b) r) (* (sin b) r))
(*.f64 (sin.f64 b) (*.f64 r (*.f64 (sin.f64 b) r)))
(* (sin b) r)
(*.f64 (sin.f64 b) r)
(sin b)
(sin.f64 b)
r
-1/2
#s(literal -1/2 binary64)

localize360.0ms (2.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))
accuracy98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
accuracy80.2%
(cos.f64 (+.f64 b a))
accuracy57.5%
(pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))
accuracy99.9%
(/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b)))
accuracy99.8%
(*.f64 r (*.f64 (sin.f64 b) r))
accuracy99.8%
(*.f64 (sin.f64 b) r)
accuracy62.0%
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(cos.f64 b)
accuracy99.8%
(/.f64 r (cos.f64 b))
accuracy99.8%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
accuracy100.0%
(*.f64 a (*.f64 a #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 a #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))
accuracy93.7%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
accuracy99.9%
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy99.8%
(*.f64 (sin.f64 b) r)
accuracy99.8%
(*.f64 (sin.f64 a) (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
Results
252.0ms180×1valid
57.0ms76×0valid
Compiler

Compiled 219 to 34 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 44.0ms (29.6% of total)
ival-cos: 27.0ms (18.2% of total)
ival-sin: 23.0ms (15.5% of total)
ival-div: 21.0ms (14.1% of total)
backward-pass: 16.0ms (10.8% of total)
ival-pow: 10.0ms (6.7% of total)
ival-add: 4.0ms (2.7% of total)
ival-sub: 2.0ms (1.3% of total)
const: 1.0ms (0.7% of total)

series33.0ms (0.2%)

Counts
22 → 504
Calls
Call 1
Inputs
#<alt (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (* (sin b) r)>
#<alt (sin b)>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (/ (* r b) (+ 1 (* a (* a -1/2))))>
#<alt (* r b)>
#<alt (+ 1 (* a (* a -1/2)))>
#<alt (* a (* a -1/2))>
#<alt (* (/ r (cos b)) (sin b))>
#<alt (/ r (cos b))>
#<alt (cos b)>
#<alt (* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r))>
#<alt (/ (* r (* (sin b) r)) (* -1 (cos b)))>
#<alt (* r (* (sin b) r))>
#<alt (/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2))>
#<alt (/ 1 (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (+ b a)>
#<alt (* (sin a) (sin b))>
#<alt (* a -1/2)>
#<alt (pow (* (* (sin b) r) (* (sin b) r)) -1/2)>
#<alt (* (* (sin b) r) (* (sin b) r))>
Outputs
#<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 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 (/ (* 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 (* 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 (* 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>
#<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 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 (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 (/ (* 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))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (* -1/2 (pow a 2))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (* b r)>
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt r>
#<alt (+ r (* 1/2 (* (pow b 2) r)))>
#<alt (+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt (/ r (cos b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (* b r)>
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (* b (pow r 2)))>
#<alt (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))) (* -1 (pow r 2))))>
#<alt (* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2)))))) (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))))))>
#<alt (* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* -1/5040 (pow r 2)) (+ (* -1/2 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2))))) (+ (* -1/720 (pow r 2)) (* 1/24 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))))))) (* -1 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2)))))))))))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* -1 (/ (* (pow r 2) (sin b)) (cos b)))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* b (pow r 2))>
#<alt (* b (+ (* -1/6 (* (pow b 2) (pow r 2))) (pow r 2)))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* 1/120 (* (pow b 2) (pow r 2))))) (pow r 2)))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (pow r 2))) (* 1/120 (pow r 2)))))) (pow r 2)))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (sin b))>
#<alt (* (pow r 2) (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 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 (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (/ 1 (cos a))>
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))>
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos b))>
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<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 (* 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 (* 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 (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (* (pow b 2) (pow r 2))>
#<alt (* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))>
#<alt (* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))>
#<alt (* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
#<alt (* (pow r 2) (pow (sin b) 2))>
Calls

126 calls:

TimeVariablePointExpression
3.0ms
r
@-inf
(/ r (cos b))
2.0ms
b
@0
(/ r (cos b))
1.0ms
r
@0
(/ (* r b) (+ 1 (* a (* a -1/2))))
1.0ms
b
@-inf
(/ (* r (* (sin b) r)) (* -1 (cos b)))
1.0ms
b
@0
(/ (* r (* (sin b) r)) (* -1 (cos b)))

rewrite371.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
4078×*-lowering-*.f32
4078×*-lowering-*.f64
3728×/-lowering-/.f32
3728×/-lowering-/.f64
1560×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033121
1204113
21489104
08230104
Stop Event
iter limit
node limit
Counts
22 → 1170
Calls
Call 1
Inputs
(/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* (sin b) r)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r b) (+ 1 (* a (* a -1/2))))
(* r b)
(+ 1 (* a (* a -1/2)))
(* a (* a -1/2))
(* (/ r (cos b)) (sin b))
(/ r (cos b))
(cos b)
(* (/ (* r (* (sin b) r)) (* -1 (cos b))) (/ -1 r))
(/ (* r (* (sin b) r)) (* -1 (cos b)))
(* r (* (sin b) r))
(/ (/ 1 (cos (+ b a))) (pow (* (* (sin b) r) (* (sin b) r)) -1/2))
(/ 1 (cos (+ b a)))
(cos (+ b a))
(+ b a)
(* (sin a) (sin b))
(* a -1/2)
(pow (* (* (sin b) r) (* (sin b) r)) -1/2)
(* (* (sin b) r) (* (sin b) r))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r)))))))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r))))) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r))))))
(-.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)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (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 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (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 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))))
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.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)))))
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(*.f64 (pow.f64 r #s(literal -1/2 binary64)) (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (*.f64 r r)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 r #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r))))
(pow.f64 (*.f64 (sin.f64 b) r) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (sin.f64 b) r)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) #s(literal 2 binary64))
(*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r)))
(*.f64 r (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))
(*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (sin.f64 b) (*.f64 r r)) (sin.f64 b))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r))
(*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(*.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) r)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) r)
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))))
(*.f64 (exp.f64 (log.f64 (sin.f64 b))) (exp.f64 (log.f64 (*.f64 (sin.f64 b) (*.f64 r r)))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 b)))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 r))))
(*.f64 (exp.f64 (log.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (exp.f64 (log.f64 r)))

simplify307.0ms (2.3%)

Algorithm
egg-herbie
Rules
5216×*-lowering-*.f32
5216×*-lowering-*.f64
1950×+-lowering-+.f64
1950×+-lowering-+.f32
1838×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05064951
117684380
264844331
082334331
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(/ (* 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 a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* 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 b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(* b r)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
r
(+ r (* 1/2 (* (pow b 2) r)))
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos 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))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(* b r)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (* b (pow r 2)))
(* b (+ (* -1 (* (pow b 2) (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))) (* -1 (pow r 2))))
(* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2)))))) (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))))))
(* b (+ (* -1 (pow r 2)) (* (pow b 2) (+ (* -1 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* -1/5040 (pow r 2)) (+ (* -1/2 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2))))) (+ (* -1/720 (pow r 2)) (* 1/24 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2))))))))) (* -1 (- (* 1/120 (pow r 2)) (+ (* -1/2 (- (* -1/6 (pow r 2)) (* -1/2 (pow r 2)))) (* 1/24 (pow r 2)))))))))))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* -1 (/ (* (pow r 2) (sin b)) (cos b)))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* b (pow r 2))
(* b (+ (* -1/6 (* (pow b 2) (pow r 2))) (pow r 2)))
(* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* 1/120 (* (pow b 2) (pow r 2))))) (pow r 2)))
(* b (+ (* (pow b 2) (+ (* -1/6 (pow r 2)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (pow r 2))) (* 1/120 (pow r 2)))))) (pow r 2)))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(* (pow r 2) (sin b))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(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)))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(* (pow b 2) (pow r 2))
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
Outputs
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (+.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 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) (/.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 (sin.f64 a) (/.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) (/.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 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a))) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.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 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))
(+ (* a (- (* 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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (*.f64 a (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(/ (* 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 a) (sin.f64 b))))
(* b r)
(*.f64 b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
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(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))
(* (pow b 2) (pow r 2))
(*.f64 b (*.f64 b (*.f64 r r)))
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))
(*.f64 (*.f64 b b) (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 r r)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))
(*.f64 (*.f64 b b) (+.f64 (*.f64 r r) (*.f64 (*.f64 b b) (*.f64 (*.f64 r r) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) #s(literal 2/45 binary64)))))))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))
(*.f64 (*.f64 b b) (+.f64 (*.f64 r r) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/315 binary64)) #s(literal 2/45 binary64))))))))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r r))

eval329.0ms (2.4%)

Compiler

Compiled 40162 to 3239 computations (91.9% saved)

prune357.0ms (2.6%)

Pruning

110 alts after pruning (105 fresh and 5 done)

PrunedKeptTotal
New1898561954
Fresh324981
Picked415
Done044
Total19341102044
Accuracy
100.0%
Counts
2044 → 110
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
99.5%
(/.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)))))
80.0%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
61.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
19.7%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
73.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
79.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
53.3%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
52.9%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
14.3%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
26.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))))
79.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
25.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
25.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
30.7%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
37.8%
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))))
36.9%
(/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 r #s(literal -1/2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
48.4%
(/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
50.7%
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (/.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)))))
11.0%
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
80.1%
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
54.7%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
54.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
54.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b))))
55.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))))))
55.8%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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))))))))))
57.8%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))))
99.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
63.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)))))
67.8%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (sin.f64 b))))
58.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))))
61.7%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
56.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
63.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
57.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
46.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))
99.1%
(/.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))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
65.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
32.8%
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
35.1%
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/24 binary64))))))
35.0%
(/.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)))))))))
32.8%
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
53.7%
(/.f64 (*.f64 r b) (cos.f64 a))
14.3%
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
63.6%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
80.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
34.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
43.1%
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64)))))
37.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r))
57.7%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64))))
49.2%
(*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)))
63.6%
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 r (cos.f64 b)) r))
63.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 b) r)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))))
63.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) r)))
45.8%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r))))
43.0%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 b)) (*.f64 r (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
32.7%
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
19.0%
(*.f64 (/.f64 (*.f64 r (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)))) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
32.8%
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
30.5%
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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)))))
22.6%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r))
53.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
35.4%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
47.7%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r))
46.3%
(*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r))
19.8%
(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r))
99.6%
(*.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.6%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
61.6%
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b))
73.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
68.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b))
57.8%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
53.7%
(*.f64 (/.f64 r (cos.f64 a)) b)
63.6%
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 b) r)))
63.7%
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r)))
32.7%
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
35.2%
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
53.7%
(*.f64 (/.f64 b (cos.f64 a)) r)
27.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b))
57.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b))
37.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r))
35.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
80.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b))
37.9%
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))
33.6%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
60.5%
(*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b))
63.7%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b)))
36.9%
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b))
27.1%
(*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b))
57.7%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
23.9%
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
25.5%
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
63.7%
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
41.6%
(*.f64 (sin.f64 b) r)
21.8%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r))
44.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b))
57.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
63.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
63.7%
(*.f64 r (tan.f64 b))
35.2%
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
36.6%
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
36.6%
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
36.6%
(*.f64 b (+.f64 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
37.0%
(*.f64 b r)
37.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
Compiler

Compiled 5706 to 2243 computations (60.7% saved)

regimes233.0ms (1.7%)

Counts
190 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r))
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r r))) r)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 b)) (*.f64 r (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 r (cos.f64 b)) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
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(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.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 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b 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)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #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 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
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:

55.0ms
a
52.0ms
b
51.0ms
r
50.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes206.0ms (1.5%)

Counts
170 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r))
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r r))) r)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 b)) (*.f64 r (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 r (cos.f64 b)) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) r)) (sin.f64 b))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 b) r)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) (/.f64 (sin.f64 b) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 0 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (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) r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 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 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 r (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)))) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.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) (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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b))
(*.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 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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b))
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (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))) (*.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 (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)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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))))))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))))))
(/.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 (/.f64 r (-.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 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) (*.f64 a r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal -1 binary64) r))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

47.0ms
b
46.0ms
r
45.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
44.0ms
a
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes223.0ms (1.7%)

Counts
162 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r))
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
(/.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r r))) r)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 b)) (*.f64 r (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 r (cos.f64 b)) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) r)) (sin.f64 b))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 r r))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 b) r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 b) r)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r r))) (/.f64 (sin.f64 b) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 (*.f64 (*.f64 r (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 0 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 r r)) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r r))))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (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) r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (cos.f64 b) (*.f64 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 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (*.f64 (cos.f64 a) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 r (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 r r)))) (*.f64 #s(literal -1 binary64) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (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 #s(literal 0 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.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) (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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b))
(*.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 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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b))
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (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))) (*.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 (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)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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))))))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))))))
(/.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 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Calls

4 calls:

58.0ms
b
53.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
44.0ms
a
44.0ms
r
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes197.0ms (1.5%)

Counts
161 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
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(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.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) (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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))) (sin.f64 b))
(*.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 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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (sin.f64 b))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 a (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) #s(literal 1 binary64)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 r (+.f64 (cos.f64 a) (*.f64 b (+.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))) (sin.f64 b))
(*.f64 (/.f64 r (+.f64 (cos.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (*.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))) (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))) (*.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 (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)))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/24 binary64)))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (pow.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.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))))))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))))))))))))
(/.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)) (cos.f64 (+.f64 a b)))
Calls

4 calls:

55.0ms
r
46.0ms
b
43.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
41.0ms
a
Results
AccuracySegmentsBranch
80.2%1r
80.2%1a
80.2%1b
80.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes77.0ms (0.6%)

Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r))
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

3 calls:

26.0ms
r
23.0ms
b
18.0ms
a
Results
AccuracySegmentsBranch
80.2%1r
80.2%1a
80.2%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes63.0ms (0.5%)

Counts
63 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r))
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) (sin.f64 b))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
Calls

3 calls:

18.0ms
r
18.0ms
b
16.0ms
a
Results
AccuracySegmentsBranch
63.7%1r
80.4%3a
80.5%3b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts
57 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) b) r))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (*.f64 b r) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) r) (*.f64 (/.f64 r #s(literal -1 binary64)) (tan.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (*.f64 (*.f64 r (tan.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (*.f64 r (tan.f64 b)) (/.f64 r #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 r (/.f64 r (cos.f64 a))))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 r (cos.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 r (*.f64 (sin.f64 b) r)) (*.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))) r))
(/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (/.f64 (*.f64 r r) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r)) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 b b))))))
(/.f64 (*.f64 r (*.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)))))))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))))))))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 7/360 binary64)) r) (/.f64 #s(literal 1/6 binary64) r)))) b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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)))))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (tan.f64 b))
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 r (tan.f64 b))
Calls

2 calls:

8.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
63.7%1a
63.7%1b
Compiler

Compiled 8 to 6 computations (25% saved)

regimes31.0ms (0.2%)

Accuracy

Total -20.3b remaining (-50.2%)

Threshold costs -20.3b (-50.2%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(/.f64 (*.f64 (*.f64 b r) #s(literal -2 binary64)) (*.f64 a a))
(*.f64 b (+.f64 r (*.f64 (*.f64 b (*.f64 b r)) #s(literal 1/3 binary64))))
(*.f64 b (/.f64 r (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) r)
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64))))) (*.f64 b r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (*.f64 b r)))
(/.f64 (*.f64 r b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a 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 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64))))))
(*.f64 b (+.f64 r (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 b r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 b r) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 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 r (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 r #s(literal 1/120 binary64)) (-.f64 (*.f64 b (*.f64 b (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) (*.f64 #s(literal -1/24 binary64) r))) (+.f64 (*.f64 r #s(literal -1/720 binary64)) (*.f64 r #s(literal 1/72 binary64))))))) (+.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r #s(literal 1/24 binary64)))))) (*.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 r r) #s(literal -1/3 binary64)) (*.f64 b (*.f64 b (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 r (*.f64 r #s(literal -1/5040 binary64))) (+.f64 (*.f64 r (*.f64 r #s(literal -1/720 binary64))) (*.f64 (*.f64 r r) #s(literal 1/72 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r))))) (*.f64 #s(literal -1 binary64) (*.f64 b b))) (+.f64 (-.f64 (*.f64 r (*.f64 r #s(literal 1/120 binary64))) (*.f64 r (*.f64 r #s(literal -1/6 binary64)))) (*.f64 #s(literal -1/24 binary64) (*.f64 r r)))))))) (*.f64 r r))) (/.f64 #s(literal -1 binary64) r))
Outputs
(*.f64 b r)
Calls

3 calls:

18.0ms
b
6.0ms
r
6.0ms
a
Results
AccuracySegmentsBranch
37.0%1b
37.0%1r
37.0%1a
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch67.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
2.112200590445549e-12
6.812616280624113e-9
23.0ms
-0.5906935306990849
-2.1257389175862412e-10
Results
41.0ms113×1valid
13.0ms159×0valid
Compiler

Compiled 348 to 250 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 6.0ms (28.8% of total)
ival-sin: 5.0ms (24% of total)
ival-mult: 3.0ms (14.4% of total)
ival-add: 2.0ms (9.6% of total)
ival-div: 2.0ms (9.6% of total)
backward-pass: 2.0ms (9.6% of total)
const: 0.0ms (0% of total)

bsearch61.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
2.112200590445549e-12
6.812616280624113e-9
23.0ms
-0.5906935306990849
-2.1257389175862412e-10
Results
35.0ms107×1valid
13.0ms165×0valid
Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 18.0ms (51.6% of total)
ival-cos: 6.0ms (17.2% of total)
ival-sin: 5.0ms (14.3% of total)
ival-add: 2.0ms (5.7% of total)
ival-div: 2.0ms (5.7% of total)
backward-pass: 2.0ms (5.7% of total)
const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040117
162117
273117
378117
480117
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 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -4722366482869645/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
(if (<=.f64 b #s(literal -2597301565578305/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 b r)
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 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.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 -4722366482869645/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
(if (<=.f64 b #s(literal -2597301565578305/2361183241434822606848 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 4110347786689739/604462909807314587353088 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 b r)
(*.f64 r b)

soundness2.2s (16.6%)

Rules
6648×*-lowering-*.f32
6648×*-lowering-*.f64
4794×*-lowering-*.f32
4794×*-lowering-*.f64
4078×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032153
1188104
21458104
08282104
033121
1204113
21489104
08230104
0819
13919
225619
3232719
01129019
0167937
1557853
21904820
37378820
08114820
089
1129
2159
3169
0169
05095812
118015251
264335215
080135215
Stop Event
fuel
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 505 to 294 computations (41.8% saved)

preprocess106.0ms (0.8%)

Remove

(negabs r)

Compiler

Compiled 512 to 252 computations (50.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...