rsin A (should all be same)

Time bar (total: 11.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.1MiB allocated

analyze261.0ms (2.3%)

Memory
1.8MiB live, 400.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.9s (16.8%)

Memory
-98.8MiB live, 2 195.8MiB allocated
Samples
1.1s5 778×1valid
450.0ms2 478×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 612.0ms (46.8% of total)
ival-sin: 349.0ms (26.7% of total)
adjust: 117.0ms (8.9% of total)
ival-add: 82.0ms (6.3% of total)
ival-div: 69.0ms (5.3% of total)
ival-mult: 69.0ms (5.3% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain139.0ms (1.2%)

Memory
17.6MiB live, 182.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
66131(-8.356014856385794e-233 1.716886823856758e+77 -1.1051166496521931e-16)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1970
Confusion
Predicted +Predicted -
+660
-13159
Precision
0.3350253807106599
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-131059
Precision?
0.3350253807106599
Recall?
1.0
Freqs
test
numberfreq
059
1197
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
76.0ms380×1valid
11.0ms132×0valid
Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-cos: 30.0ms (46.7% of total)
ival-sin: 13.0ms (20.2% of total)
adjust: 7.0ms (10.9% of total)
ival-add: 5.0ms (7.8% of total)
ival-div: 5.0ms (7.8% of total)
ival-mult: 4.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess108.0ms (0.9%)

Memory
-25.9MiB live, 34.0MiB allocated
Algorithm
egg-herbie
Rules
692×times-frac
392×associate-*r*
382×unsub-neg
370×div-sub
360×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03788
18984
219384
347884
4139984
5233884
6292584
7329984
8348184
9369884
10392784
11393384
12393384
13394184
14396184
15396984
16396984
089
0139
1179
2209
3219
0219
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Symmetry

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
01325
11725
22025
32125
02125
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize53.0ms (0.5%)

Memory
-14.3MiB live, 61.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 b)
accuracy0.1015625
(*.f64 r (sin.f64 b))
accuracy0.244472509768442
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy14.104303360806092
(cos.f64 (+.f64 a b))
Samples
34.0ms190×1valid
11.0ms66×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 10.0ms (29.9% of total)
ival-div: 8.0ms (23.9% of total)
ival-cos: 8.0ms (23.9% of total)
adjust: 3.0ms (9% of total)
ival-add: 2.0ms (6% of total)
ival-mult: 2.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>
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 b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<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)))>
Calls

24 calls:

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

simplify343.0ms (3%)

Memory
46.0MiB live, 377.8MiB allocated
Algorithm
egg-herbie
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
4 746×lower-*.f64
4 746×lower-*.f32
2 894×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167960
1517928
21595886
35409885
08292853
Stop Event
iter limit
node limit
Counts
96 → 95
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 b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos 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)))
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 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* 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 (fma.f64 b (fma.f64 b (fma.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)))) (/.f64 r (cos.f64 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))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) (fma.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))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.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)))) (/.f64 r (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 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (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)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.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)))) (neg.f64 a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.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 (fma.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 (sin.f64 b) (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)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (* 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 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r))
(* 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))))
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) 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)
(sin b)
(sin.f64 b)
(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))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))
(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))
(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))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 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 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))

rewrite312.0ms (2.7%)

Memory
-43.4MiB live, 364.5MiB allocated
Rules
6 510×lower-*.f32
6 508×lower-*.f64
3 846×lower-fma.f64
3 846×lower-fma.f32
3 176×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14419
223419
3205019
0844119
Stop Event
iter limit
node limit
iter limit
Counts
4 → 138
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (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 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r)))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 r (sin.f64 b))
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b))))
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r))
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b)))
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r)
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.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))
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a 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))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (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)))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.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 #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 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (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 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #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 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (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 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (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 a b)))))) #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 (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 a b)) (*.f64 (cos.f64 (-.f64 a b)) (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) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.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) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval27.0ms (0.2%)

Memory
34.3MiB live, 69.5MiB allocated
Compiler

Compiled 3 974 to 536 computations (86.5% saved)

prune60.0ms (0.5%)

Memory
4.5MiB live, 158.9MiB allocated
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New20231233
Fresh000
Picked011
Done000
Total20232234
Accuracy
99.9%
Counts
234 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.6%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
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)))))
98.6%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.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 #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 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
76.9%
(/.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))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))))
77.9%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
59.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
53.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
55.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
51.6%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
51.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
51.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
77.9%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
77.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
78.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
77.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
77.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
77.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
77.9%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
77.9%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
35.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
61.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
52.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (fma.f64 b (fma.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)))) (/.f64 r (cos.f64 a)))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
Compiler

Compiled 1 244 to 744 computations (40.2% saved)

simplify181.0ms (1.6%)

Memory
-7.3MiB live, 285.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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)) (neg.f64 r)) #s(literal -1 binary64)))
cost-diff6464
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
cost-diff7040
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
cost-diff128
(neg.f64 (-.f64 a b))
cost-diff128
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
cost-diff1280
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a 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
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
5 818×lower-fma.f32
5 816×lower-fma.f64
2 160×lower-*.f32
2 148×lower-*.f64
1 374×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037236
065211
1106208
2208199
3465197
41246197
53680197
66397197
77767197
08080197
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 b a)
a
(-.f64 a b)
(neg.f64 (-.f64 a b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
#s(literal -1 binary64)
(sin.f64 b)
b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(neg.f64 r)
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 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
(-.f64 (neg.f64 a) b)
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 b a)
a
(-.f64 a b)
(neg.f64 (-.f64 a b))
(-.f64 b a)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(sin.f64 (neg.f64 b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
#s(literal -1 binary64)
(sin.f64 b)
b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(neg.f64 r)
r

localize250.0ms (2.2%)

Memory
20.2MiB live, 558.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19921875
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
accuracy0.2109375
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
accuracy0.24609375
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
accuracy14.1043033608061
(cos.f64 (+.f64 b a))
accuracy0.1015625
(*.f64 r (sin.f64 b))
accuracy0.244472509768442
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
accuracy14.104303360806092
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
accuracy29.01538685552668
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
accuracy0
(sin.f64 b)
accuracy0.1953125
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.19921875
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy14.1043033608061
(cos.f64 (+.f64 b a))
accuracy0
(*.f64 r b)
accuracy0
(cos.f64 a)
accuracy0.12109375
(/.f64 (*.f64 r b) (cos.f64 a))
accuracy30.725032206885096
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
accuracy0.07776129138909577
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy0.1015625
(*.f64 r (sin.f64 b))
accuracy0.17578125
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.244472509768442
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Samples
176.0ms194×1valid
24.0ms62×0valid
Compiler

Compiled 233 to 37 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-cos: 42.0ms (26% of total)
ival-div: 29.0ms (17.9% of total)
ival-mult: 23.0ms (14.2% of total)
ival-pow: 18.0ms (11.1% of total)
ival-sin: 18.0ms (11.1% of total)
adjust: 15.0ms (9.3% of total)
ival-sub: 6.0ms (3.7% of total)
ival-neg: 6.0ms (3.7% of total)
ival-add: 6.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series168.0ms (1.5%)

Memory
-22.9MiB live, 107.8MiB allocated
Counts
21 → 552
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))>
#<alt (/.f64 (*.f64 r b) (cos.f64 a))>
#<alt (*.f64 r b)>
#<alt (cos.f64 a)>
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))>
#<alt (/.f64 r (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))>
#<alt (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))>
#<alt (neg.f64 (-.f64 a b))>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))>
#<alt (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))>
#<alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (sin.f64 b))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (* 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) (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 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)))>
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#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 b)))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- 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 (* 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))>
Calls

138 calls:

TimeVariablePointExpression
41.0ms
r
@-inf
(/ r (cos (+ b a)))
38.0ms
b
@-inf
(/ -1 (sin b))
35.0ms
r
@0
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
8.0ms
b
@-inf
(pow (/ (cos (+ b a)) (neg r)) -1)
4.0ms
b
@0
(/ (* r b) (cos a))

simplify300.0ms (2.6%)

Memory
12.7MiB live, 470.2MiB allocated
Algorithm
egg-herbie
Rules
9 418×lower-fma.f64
9 418×lower-fma.f32
7 060×lower-*.f64
7 060×lower-*.f32
2 604×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05827019
118446591
265866487
082586324
Stop Event
iter limit
node limit
Counts
552 → 542
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* 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) (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 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))))
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(* -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))
(* 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))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* 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 (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #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)))) (/.f64 r (cos.f64 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))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #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 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #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)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (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)))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (neg.f64 (fma.f64 a (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.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))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.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 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.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 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 r #s(literal -1/6 binary64))) r))
(* 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))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) 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)
(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))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)) (cos.f64 a))
(- (* (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)) (* (sin a) (sin b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
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(fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #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 (neg.f64 (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (neg.f64 r) (cos.f64 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)))))))))))
(fma.f64 b (fma.f64 b (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 r #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 (sin.f64 a) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (neg.f64 r) (cos.f64 a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- a (* -1 b)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- a (* -1 b)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- a (* -1 b)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- a (* -1 b)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos b)))
(neg.f64 (/.f64 r (cos.f64 b)))
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))
(neg.f64 (fma.f64 (*.f64 r (sin.f64 b)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 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))))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (neg.f64 (/.f64 r (cos.f64 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)))))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (neg.f64 (/.f64 r (cos.f64 b))))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- b (* -1 a)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- b (* -1 a)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- b (* -1 a)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (- b (* -1 a)))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(* -1 (/ r (cos (+ a b))))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* 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 (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #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)))) (/.f64 r (cos.f64 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))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #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 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #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)))) (/.f64 r (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)))
(fma.f64 (sin.f64 b) (/.f64 r (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)))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (neg.f64 (fma.f64 a (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.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))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* 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)) (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)))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -31/15120 binary64) #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 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))))))))
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.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 (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 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))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))

rewrite347.0ms (3%)

Memory
-16.4MiB live, 559.4MiB allocated
Rules
5 162×lower-/.f32
5 150×lower-/.f64
4 648×lower-*.f32
4 636×lower-*.f64
3 804×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037169
065130
1218117
21452117
08562117
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 246
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(neg.f64 (-.f64 a b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 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 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
Outputs
(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 (neg.f64 (sin.f64 b))) (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) (log.f64 (neg.f64 (sin.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (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) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64))) #s(literal -1/2 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 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 r #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
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(*.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 r #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r)))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (sin.f64 b))))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (sin.f64 b)))))
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 a b)) #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 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (fma.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 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))

eval332.0ms (2.9%)

Memory
16.2MiB live, 524.5MiB allocated
Compiler

Compiled 53 275 to 3 999 computations (92.5% saved)

prune316.0ms (2.8%)

Memory
-0.2MiB live, 601.7MiB allocated
Pruning

71 alts after pruning (67 fresh and 4 done)

PrunedKeptTotal
New2 091602 151
Fresh19726
Picked235
Done011
Total2 112712 183
Accuracy
100.0%
Counts
2 183 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
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)))))
68.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
66.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
62.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
89.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
98.7%
(/.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 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
77.9%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
41.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
23.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a)))))
46.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
71.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
41.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))))))
72.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b))))))
20.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))
64.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))))
41.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
53.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
55.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
77.9%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
37.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
51.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
51.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
77.9%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
42.1%
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
99.4%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
71.0%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64)))
77.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
55.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a))))
61.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b)))))
77.9%
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64)))
52.4%
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
77.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
77.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
78.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
98.8%
(*.f64 (/.f64 r (/.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 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
77.9%
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
71.1%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
51.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
32.8%
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b))
64.1%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
61.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
55.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
77.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
77.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
48.9%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
38.1%
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
51.6%
(*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
77.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
35.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
51.9%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
51.9%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
51.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
23.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))))
31.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
35.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Compiler

Compiled 2 801 to 1 686 computations (39.8% saved)

simplify323.0ms (2.8%)

Memory
22.5MiB live, 178.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff320
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
cost-diff704
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
cost-diff5760
(pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64))
cost-diff6464
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
cost-diff128
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
cost-diff0
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
cost-diff0
(*.f64 r b)
cost-diff0
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
cost-diff0
(sin.f64 b)
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff0
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
Rules
4 360×lower-fma.f32
4 356×lower-fma.f64
2 006×div-sub
1 912×lower-*.f32
1 900×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051287
079279
1121276
2179270
3271268
4507268
5784268
61163268
71703268
82509268
93017268
103925268
115161268
126095268
136582268
146594268
156602268
166630268
176806268
187054268
197219268
207275268
217358268
227358268
237538264
08095260
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
r
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 b)
b
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(cos.f64 a)
a
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 b a))
#s(literal -1 binary64)
(+.f64 b a)
a
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64))
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64))
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(neg.f64 r)
r
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.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 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 b)
b
(neg.f64 (sin.f64 a))
(sin.f64 (neg.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(cos.f64 a)
a
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(cos.f64 (+.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(-.f64 (neg.f64 b) a)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 b a))
#s(literal -1 binary64)
(+.f64 b a)
a
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
#s(approx (/ -1 (sin b)) (fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b))
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64))
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(neg.f64 r)
r

localize316.0ms (2.8%)

Memory
0.6MiB live, 595.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.3359375
(*.f64 b #s(literal -1/6 binary64))
accuracy14.014148645461335
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
accuracy14.104303360806092
(cos.f64 (+.f64 b a))
accuracy30.35622402604904
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
accuracy0.1015625
(*.f64 r (sin.f64 b))
accuracy0.1875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
accuracy0.244472509768442
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
accuracy14.104303360806092
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
accuracy0
(cos.f64 a)
accuracy0.1015625
(*.f64 r (sin.f64 b))
accuracy0.244472509768442
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
accuracy28.349537441575762
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
accuracy0
(*.f64 r b)
accuracy23.852331947416257
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
accuracy30.725032206885096
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
accuracy0.05859375
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.10672628162065376
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.1953125
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
accuracy0.19921875
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
Samples
212.0ms194×1valid
22.0ms62×0valid
Compiler

Compiled 246 to 44 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-cos: 53.0ms (29.5% of total)
ival-div: 26.0ms (14.5% of total)
ival-mult: 22.0ms (12.2% of total)
adjust: 20.0ms (11.1% of total)
ival-pow: 20.0ms (11.1% of total)
ival-sin: 19.0ms (10.6% of total)
ival-add: 9.0ms (5% of total)
const: 6.0ms (3.3% of total)
ival-neg: 5.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-4.6MiB live, 73.2MiB allocated
Counts
22 → 552
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))>
#<alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))>
#<alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))>
#<alt (sin.f64 b)>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))>
#<alt #s(approx (/ (* r b) (cos a)) (*.f64 r b))>
#<alt (*.f64 r b)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))>
#<alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))>
#<alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))>
#<alt (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64))>
#<alt (*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))>
#<alt (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)>
#<alt (*.f64 (cos.f64 b) (cos.f64 a))>
#<alt (cos.f64 a)>
#<alt #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (*.f64 b #s(literal -1/6 binary64))>
Outputs
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt 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 (/ (* 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 (/ (* 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))>
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#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))>
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))>
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ -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 (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 (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
Calls

138 calls:

TimeVariablePointExpression
4.0ms
a
@inf
(* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b))
1.0ms
r
@0
(/ (* r (sin b)) (cos (/ 1 (/ -1 (+ b a)))))
1.0ms
a
@-inf
(* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b))
1.0ms
b
@inf
(* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b))
1.0ms
b
@-inf
(* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b))

simplify303.0ms (2.6%)

Memory
-8.2MiB live, 404.2MiB allocated
Algorithm
egg-herbie
Rules
8 460×lower-fma.f64
8 460×lower-fma.f32
7 010×lower-*.f64
7 010×lower-*.f32
1 776×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05076707
115906435
254916344
088876149
Stop Event
iter limit
node limit
Counts
552 → 551
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
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)
(/ (* 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))))
(/ (* 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)
(/ (* 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))
(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)))
(* -1 a)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 b)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (* -1 (/ b a)) 1))
(* a (- (* -1 (/ b a)) 1))
(* -1 a)
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 b)))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(* -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))))
(* -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))
(/ (* 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)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(* -1/6 b)
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(* -1/6 b)
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
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)
(/ -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))
(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)))
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* 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))))
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(-.f64 (*.f64 b #s(literal -1/6 binary64)) (/.f64 b (*.f64 b b)))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(-.f64 (*.f64 b #s(literal -1/6 binary64)) (/.f64 b (*.f64 b b)))
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(-.f64 (*.f64 b #s(literal -1/6 binary64)) (/.f64 b (*.f64 b b)))
(* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))
(-.f64 (*.f64 b #s(literal -1/6 binary64)) (/.f64 b (*.f64 b b)))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 a a) (*.f64 a a))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -31/15120 binary64) #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/ -1 (sin b))
(/.f64 #s(literal -1 binary64) (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))))
(fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)))) (sin.f64 (neg.f64 a))) (cos.f64 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 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))))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64))))) (sin.f64 b)) (cos.f64 b))
(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))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))

rewrite323.0ms (2.8%)

Memory
17.2MiB live, 496.7MiB allocated
Rules
4 680×lower-/.f32
4 666×lower-/.f64
3 914×lower-fma.f32
3 910×lower-fma.f64
3 812×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051226
079177
1274172
21640172
08266172
Stop Event
iter limit
node limit
iter limit
Counts
22 → 812
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 r (sin.f64 b))
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 a)
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(cos.f64 (+.f64 b a))
(*.f64 b #s(literal -1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(pow.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 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.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) (neg.f64 (sin.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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) (neg.f64 (sin.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
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(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
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(/.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) (fma.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 (+.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))) (fma.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))) (fma.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) #s(literal 3 binary64))) (fma.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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (fma.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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(/.f64 (-.f64 (pow.f64 (fma.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))) (fma.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.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 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.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) (neg.f64 (sin.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (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))))
(*.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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 b #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) b)

eval251.0ms (2.2%)

Memory
1.5MiB live, 420.5MiB allocated
Compiler

Compiled 37 603 to 2 782 computations (92.6% saved)

prune251.0ms (2.2%)

Memory
6.7MiB live, 495.4MiB allocated
Pruning

79 alts after pruning (72 fresh and 7 done)

PrunedKeptTotal
New1 412261 438
Fresh164662
Picked235
Done044
Total1 430791 509
Accuracy
100.0%
Counts
1 509 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
52.4%
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
52.4%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
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)))))
68.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
66.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
62.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.7%
(/.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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
98.7%
(/.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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
20.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64))))
41.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a)))))
46.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
72.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b))))))
20.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))
64.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))))
59.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
52.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
53.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
55.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
36.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
51.2%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
77.9%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
37.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
50.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
51.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
51.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
77.9%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
52.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
42.1%
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
99.4%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
71.0%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64)))
77.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
55.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a))))
61.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b)))))
77.9%
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64)))
77.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
52.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
98.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
77.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
78.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
55.9%
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
62.2%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))
56.8%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
98.8%
(*.f64 (/.f64 r (/.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 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
98.8%
(*.f64 (/.f64 r (-.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
77.9%
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
71.1%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
64.1%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
61.1%
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
55.8%
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
77.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
55.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b)))
51.6%
(*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
77.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
25.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
51.9%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
51.9%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
51.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
23.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))))
31.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
35.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Compiler

Compiled 3 023 to 1 857 computations (38.6% saved)

simplify152.0ms (1.3%)

Memory
6.5MiB live, 188.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))
cost-diff0
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
cost-diff0
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
cost-diff0
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
cost-diff0
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
cost-diff0
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
cost-diff0
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
cost-diff0
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
cost-diff128
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r))
cost-diff128
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
cost-diff6464
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))
cost-diff7040
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
Rules
2 940×lower-fma.f32
2 932×lower-fma.f64
2 394×lower-*.f32
2 378×lower-*.f64
1 238×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055378
091362
1142358
2236352
3479346
41208346
52411346
63882346
76238346
87278346
97665346
107769346
117968346
08004346
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
#s(literal -1 binary64)
(sin.f64 b)
b
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(neg.f64 r)
r
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(*.f64 r b)
r
b
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
#s(literal 1 binary64)
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64))
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(neg.f64 r)
r
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
r
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
r
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))
(sin.f64 b)
b
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
#s(approx (* (cos b) (cos a)) (cos.f64 a))
(cos.f64 a)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(sin.f64 (neg.f64 b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
#s(literal -1 binary64)
(sin.f64 b)
b
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 r (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r))
(/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) r)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(neg.f64 r)
r
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 a (*.f64 r (*.f64 a #s(literal 1/2 binary64))) r))))
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 a (*.f64 r (*.f64 a #s(literal 1/2 binary64))) r)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 a (*.f64 r (*.f64 a #s(literal 1/2 binary64))) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(*.f64 r b)
(*.f64 b r)
r
b
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
#s(literal 1 binary64)
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64))
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(neg.f64 r)
r
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(cos.f64 (+.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(+.f64 b a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 r (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 b)
b
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
#s(approx (* (cos b) (cos a)) (cos.f64 a))
(cos.f64 a)

localize352.0ms (3.1%)

Memory
-35.1MiB live, 705.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10672628162065376
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))
accuracy0.1953125
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
accuracy0.19921875
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
accuracy28.157871806496743
#s(approx (* (cos b) (cos a)) (cos.f64 a))
accuracy0.1875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
accuracy0.1953125
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
accuracy0.19921875
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
accuracy14.104303360806092
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
accuracy0.3359375
(*.f64 b #s(literal -1/6 binary64))
accuracy14.014148645461335
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
accuracy14.104303360806092
(cos.f64 (+.f64 b a))
accuracy30.35622402604904
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
accuracy0
(*.f64 a a)
accuracy9.232044991058986
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
accuracy30.362353499421904
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
accuracy30.725032206885096
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
accuracy0.18359375
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r))
accuracy0.19921875
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
accuracy0.2109375
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))
accuracy0.24609375
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
Samples
239.0ms193×1valid
25.0ms63×0valid
Compiler

Compiled 323 to 49 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-div: 61.0ms (27.9% of total)
ival-cos: 53.0ms (24.2% of total)
ival-mult: 28.0ms (12.8% of total)
ival-sin: 28.0ms (12.8% of total)
adjust: 16.0ms (7.3% of total)
ival-pow: 15.0ms (6.9% of total)
ival-add: 9.0ms (4.1% of total)
const: 6.0ms (2.7% of total)
ival-neg: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
17.2MiB live, 56.1MiB allocated
Counts
24 → 612
Calls
Call 1
Inputs
#<alt (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))>
#<alt (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))>
#<alt (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))>
#<alt #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))>
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))>
#<alt #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))>
#<alt (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))>
#<alt (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))>
#<alt (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))>
#<alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))>
#<alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))>
#<alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))>
#<alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))>
#<alt (sin.f64 b)>
#<alt (*.f64 a a)>
#<alt (cos.f64 (+.f64 b a))>
#<alt (*.f64 b #s(literal -1/6 binary64))>
#<alt #s(approx (* (cos b) (cos a)) (cos.f64 a))>
Outputs
#<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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))>
#<alt (* -1 (/ r (+ (* -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)) (+ (* -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 (* -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 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))>
#<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))))>
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#<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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt 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 (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<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 (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
Calls

153 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ (+ (* b (* b -1/6)) -1) b)
1.0ms
r
@0
(* (+ (* 1/2 (* a a)) 1) (* r b))
1.0ms
b
@0
(* (+ (* 1/2 (* a a)) 1) (* r b))
1.0ms
b
@-inf
(/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r))
1.0ms
a
@-inf
(/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r))

simplify261.0ms (2.3%)

Memory
2.3MiB live, 432.5MiB allocated
Algorithm
egg-herbie
Rules
9 542×lower-fma.f64
9 542×lower-fma.f32
7 500×lower-*.f64
7 500×lower-*.f32
2 590×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04018068
112787619
241837550
085417292
Stop Event
iter limit
node limit
Counts
612 → 605
Calls
Call 1
Inputs
(* -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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (/ r (+ (* -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)) (+ (* -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))))
(* -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 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))
(/ (* 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)))
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
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)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(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)))
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
Outputs
(* -1 b)
(neg.f64 b)
(* b (- (* 1/6 (pow b 2)) 1))
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* -1 (/ r (cos a)))
(neg.f64 (/.f64 r (cos.f64 a)))
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))
(neg.f64 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 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))))))))
(-.f64 (neg.f64 (*.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 r (cos.f64 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)))))))))))
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (neg.f64 r)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (neg.f64 r)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (neg.f64 (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 (/.f64 r (cos.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (cos b)))
(neg.f64 (/.f64 r (cos.f64 b)))
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 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))))))))
(-.f64 (neg.f64 (*.f64 a (fma.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))))) (/.f64 r (cos.f64 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)))))))))))
(fma.f64 a (-.f64 (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (cos.f64 b))) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (neg.f64 (/.f64 r (cos.f64 b))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* 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 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* 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 (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 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))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (*.f64 b (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) (cos.f64 a))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* 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 b) (sin.f64 a))))
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 a (fma.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 a (fma.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (cos.f64 b))) (neg.f64 a) (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 b)))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(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))))))
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 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 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b))) (cos.f64 b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) 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)
(sin b)
(sin.f64 b)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(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))))
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 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 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))))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b))) (cos.f64 b))
(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))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 a a) (*.f64 a a))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))

rewrite271.0ms (2.4%)

Memory
11.5MiB live, 410.6MiB allocated
Rules
4 642×lower-/.f32
4 624×lower-/.f64
3 864×lower-*.f32
3 848×lower-*.f64
3 584×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055285
091279
1314234
21902234
08157234
Stop Event
iter limit
node limit
iter limit
Counts
24 → 956
Calls
Call 1
Inputs
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))
(sin.f64 b)
(*.f64 a a)
(cos.f64 (+.f64 b a))
(*.f64 b #s(literal -1/6 binary64))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
Outputs
(exp.f64 (log.f64 (neg.f64 (sin.f64 b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(neg.f64 (sin.f64 b))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (sin.f64 b) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.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 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (fma.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) (sin.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)))))
(/.f64 #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))))
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.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 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #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) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.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 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 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))) (fma.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)))) (fma.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) (sin.f64 a))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.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 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 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 (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 (*.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) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (*.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (neg.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)))) (neg.f64 (fma.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)))) (fma.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) (sin.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))
(/.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))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 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) 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) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64))) (fma.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) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.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) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 b #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) b)
#s(approx (* (cos b) (cos a)) (cos.f64 a))

eval214.0ms (1.9%)

Memory
-17.2MiB live, 388.1MiB allocated
Compiler

Compiled 38 573 to 3 128 computations (91.9% saved)

prune246.0ms (2.1%)

Memory
16.0MiB live, 497.8MiB allocated
Pruning

96 alts after pruning (87 fresh and 9 done)

PrunedKeptTotal
New1 574351 609
Fresh155267
Picked325
Done077
Total1 592961 688
Accuracy
100.0%
Counts
1 688 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
52.4%
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
52.6%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))) (neg.f64 r)))
52.5%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (neg.f64 r)))
36.1%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
52.2%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
77.8%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
4.4%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
52.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
56.8%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (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)))))
68.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
66.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
62.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.7%
(/.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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
98.7%
(/.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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
20.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64))))
41.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a)))))
46.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
72.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b))))))
20.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))
64.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))))
59.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
52.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
55.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
36.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
51.2%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
56.8%
(/.f64 (sin.f64 b) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
77.9%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
51.8%
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
37.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
50.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
51.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
51.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
77.9%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
50.0%
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
42.1%
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
60.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 r)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r)) #s(literal -1 binary64)))
71.0%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64)))
77.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
99.4%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))
61.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b)))))
55.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 a)))))
48.6%
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
77.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
52.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
49.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
98.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
77.8%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
78.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
55.9%
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
62.2%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))
98.8%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
98.8%
(*.f64 (/.f64 r (-.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
77.9%
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
28.8%
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
71.1%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
19.5%
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 b a))))) (sin.f64 b))
64.1%
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ b a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
61.1%
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
55.8%
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
56.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) (sin.f64 b))
77.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
52.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
55.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b)))
56.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b))
99.5%
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
48.7%
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
51.6%
(*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
56.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
77.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
25.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
51.9%
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
51.9%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
51.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
25.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
31.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
15.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
35.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
18.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
Compiler

Compiled 4 784 to 1 747 computations (63.5% saved)

regimes276.0ms (2.4%)

Memory
-29.6MiB live, 173.8MiB allocated
Counts
153 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 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 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ b a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))))
(*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b))))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (neg.f64 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))))))
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))) (neg.f64 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.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) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 b a))))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(/.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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 r)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r)) #s(literal -1 binary64)))
(/.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))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (fma.f64 b (fma.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)))) (/.f64 r (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 r (/.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 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 r (-.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.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 #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 a) (cos.f64 b)) (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:

86.0ms
b
58.0ms
a
54.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
39.0ms
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)

regimes305.0ms (2.7%)

Memory
-1.1MiB live, 119.6MiB allocated
Counts
132 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 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 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ b a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b))))))
(*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b))))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (neg.f64 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))))))
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))) (neg.f64 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.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) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 b a))))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
Calls

4 calls:

88.0ms
a
62.0ms
b
34.0ms
r
33.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes284.0ms (2.5%)

Memory
-2.4MiB live, 156.6MiB allocated
Counts
131 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
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(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
Calls

4 calls:

70.0ms
a
67.0ms
b
66.0ms
r
33.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
78.0%1r
78.0%1a
78.0%1b
78.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes97.0ms (0.8%)

Memory
7.3MiB live, 84.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

4 calls:

38.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
31.0ms
r
13.0ms
a
13.0ms
b
Results
AccuracySegmentsBranch
77.9%1r
77.9%1b
77.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
77.9%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes64.0ms (0.6%)

Memory
13.1MiB live, 54.7MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
Calls

4 calls:

22.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
13.0ms
b
13.0ms
a
13.0ms
r
Results
AccuracySegmentsBranch
61.2%1r
77.6%3b
64.4%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.3%3a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
Calls

1 calls:

12.0ms
a
Results
AccuracySegmentsBranch
78.2%3a
Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.3%)

Memory
-19.9MiB live, 19.5MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
Outputs
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
Calls

1 calls:

27.0ms
a
Results
AccuracySegmentsBranch
78.2%3a
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
Calls

1 calls:

12.0ms
a
Results
AccuracySegmentsBranch
78.2%3a
Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.4%)

Memory
-12.1MiB live, 27.2MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Calls

2 calls:

36.0ms
a
11.0ms
b
Results
AccuracySegmentsBranch
77.6%3b
76.6%3a
Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.4%)

Memory
5.8MiB live, 45.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
Calls

4 calls:

17.0ms
a
10.0ms
r
10.0ms
b
10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
52.4%1r
52.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
52.4%1a
56.4%3b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
56.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes41.0ms (0.4%)

Memory
-47.6MiB live, 7.3MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))
Calls

1 calls:

40.0ms
b
Results
AccuracySegmentsBranch
56.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a))))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
Calls

4 calls:

4.0ms
r
4.0ms
b
4.0ms
a
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
51.9%1a
51.9%1r
51.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
51.9%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
Calls

4 calls:

4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
a
4.0ms
b
4.0ms
r
Results
AccuracySegmentsBranch
51.9%1b
51.9%1a
51.9%1r
51.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes24.0ms (0.2%)

Memory
-18.4MiB live, 21.3MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Calls

4 calls:

13.0ms
r
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
51.9%1b
51.9%1a
51.9%1r
51.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Accuracy

Total -16.3b remaining (-39.6%)

Threshold costs -16.3b (-39.6%)

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

4 calls:

3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
a
3.0ms
r
3.0ms
b
Results
AccuracySegmentsBranch
35.6%1b
35.6%1a
35.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
35.6%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch85.0ms (0.7%)

Memory
-13.8MiB live, 65.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
2.1393990612391205e-8
0.02005115565107535
43.0ms
-1226981.879457853
-7.62611824572183e-6
Samples
48.0ms162×0valid
23.0ms142×1valid
Compiler

Compiled 471 to 318 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-cos: 25.0ms (59.9% of total)
ival-sin: 7.0ms (16.8% of total)
adjust: 3.0ms (7.2% of total)
ival-add: 2.0ms (4.8% of total)
ival-div: 2.0ms (4.8% of total)
ival-mult: 2.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1393990612391205e-8
0.02005115565107535
1.0ms
-1226981.879457853
-7.62611824572183e-6
Compiler

Compiled 471 to 318 computations (32.5% saved)

bsearch2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1393990612391205e-8
0.02005115565107535
1.0ms
-1226981.879457853
-7.62611824572183e-6
Compiler

Compiled 471 to 318 computations (32.5% saved)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1393990612391205e-8
0.02005115565107535
1.0ms
-1226981.879457853
-7.62611824572183e-6
Compiler

Compiled 471 to 318 computations (32.5% saved)

bsearch92.0ms (0.8%)

Memory
-19.2MiB live, 61.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
1.153613761379443e-6
1.1044407553388464e-5
45.0ms
-7.783316975983229e+21
-17481993179903644.0
Samples
35.0ms54×0valid
30.0ms186×1valid
Compiler

Compiled 495 to 314 computations (36.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 9.0ms (35.5% of total)
ival-sin: 6.0ms (23.7% of total)
adjust: 3.0ms (11.8% of total)
ival-add: 2.0ms (7.9% of total)
ival-div: 2.0ms (7.9% of total)
ival-mult: 2.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch89.0ms (0.8%)

Memory
6.5MiB live, 85.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
65.0ms
1.1044407553388464e-5
886767.9532154166
21.0ms
-135427450361.34286
-12735726.937503833
Samples
43.0ms129×1valid
17.0ms159×0valid
Compiler

Compiled 591 to 374 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 25.0ms (48.6% of total)
ival-sin: 10.0ms (19.4% of total)
ival-cos: 10.0ms (19.4% of total)
ival-add: 2.0ms (3.9% of total)
adjust: 2.0ms (3.9% of total)
ival-mult: 2.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1044407553388464e-5
886767.9532154166
1.0ms
-135427450361.34286
-12735726.937503833
Compiler

Compiled 591 to 374 computations (36.7% saved)

bsearch94.0ms (0.8%)

Memory
21.8MiB live, 101.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
886767.9532154166
1643193758353304.0
49.0ms
-12735726.937503833
-6.559695333242822e-5
Samples
61.0ms143×1valid
17.0ms161×0valid
Compiler

Compiled 452 to 299 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-sin: 32.0ms (61.5% of total)
ival-cos: 10.0ms (19.2% of total)
adjust: 3.0ms (5.8% of total)
ival-add: 2.0ms (3.8% of total)
ival-div: 2.0ms (3.8% of total)
ival-mult: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify25.0ms (0.2%)

Memory
-5.8MiB live, 33.1MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112629
1140629
2149629
3153629
4154629
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 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -37 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 13000000 binary64)) #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (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 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 b a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -37 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 13000000 binary64)) #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

soundness1.2s (10.6%)

Memory
-3.4MiB live, 1 229.8MiB allocated
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
9 418×lower-fma.f64
9 418×lower-fma.f32
8 460×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167960
1517928
21595886
35409885
08292853
037169
065130
1218117
21452117
08562117
0819
01319
14419
223419
3205019
0844119
051226
079177
1274172
21640172
08266172
05076707
115906435
254916344
088876149
05827019
118446591
265866487
082586324
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 127 to 516 computations (54.2% saved)

preprocess94.0ms (0.8%)

Memory
7.8MiB live, 244.3MiB allocated
Remove

(negabs r)

Compiler

Compiled 930 to 290 computations (68.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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