rsin A (should all be same)

Time bar (total: 11.4s)

analyze243.0ms (2.1%)

Memory
22.4MiB live, 534.4MiB 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)

sample1.5s (13.5%)

Memory
7.8MiB live, 1 853.0MiB allocated
Samples
921.0ms5 883×1valid
285.0ms2 373×0valid
Precisions
Click to see histograms. Total time spent on operations: 819.0ms
ival-cos: 261.0ms (31.9% of total)
ival-sin: 211.0ms (25.8% of total)
adjust: 111.0ms (13.6% of total)
ival-div: 93.0ms (11.4% of total)
ival-add: 74.0ms (9% of total)
ival-mult: 59.0ms (7.2% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess116.0ms (1%)

Memory
20.8MiB live, 57.3MiB 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)

explain218.0ms (1.9%)

Memory
-8.9MiB live, 253.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
66126(4.196225655775622e+250 4.3966295158126603e-156 -9.756774894238493e+215)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))sensitivity1920
Confusion
Predicted +Predicted -
+660
-12664
Precision
0.34375
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-126064
Precision?
0.34375
Recall?
1.0
Freqs
test
numberfreq
064
1192
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
147.0ms364×1valid
11.0ms148×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-cos: 21.0ms (40.1% of total)
ival-sin: 11.0ms (21% of total)
adjust: 6.0ms (11.5% of total)
ival-add: 5.0ms (9.6% of total)
ival-div: 4.0ms (7.6% of total)
ival-mult: 4.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0%)

Memory
-30.3MiB live, 8.9MiB 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

localize45.0ms (0.4%)

Memory
8.9MiB live, 86.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy77.3%
(cos.f64 (+.f64 a b))
Samples
29.0ms182×1valid
6.0ms74×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 8.0ms (33.5% of total)
ival-sin: 6.0ms (25.1% of total)
ival-div: 3.0ms (12.6% of total)
adjust: 3.0ms (12.6% of total)
ival-add: 2.0ms (8.4% of total)
ival-mult: 2.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (cos.f64 (+.f64 a b))>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
Outputs
#<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)))>
#<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)>
Calls

24 calls:

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

rewrite586.0ms (5.2%)

Memory
-290.1MiB live, 543.2MiB allocated
Algorithm
batch-egg-rewrite
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
0843819
Stop Event
iter limit
node limit
iter limit
Counts
4 → 138
Calls
Call 1
Inputs
(cos.f64 (+.f64 a b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
Outputs
(+.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 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 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 a b))) #s(literal -1 binary64))))
(cos.f64 (+.f64 a b))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.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 a b))))
(-.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 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 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 a b)) (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 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (*.f64 a (/.f64 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 a b))))
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.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 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 (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 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (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 a b)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (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 a b)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (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 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #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 a b)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(*.f64 #s(literal -1 binary64) (neg.f64 (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))) (/.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 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (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 a b))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (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 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 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (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 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 r (sin.f64 b))))
(neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))
(*.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) (neg.f64 (*.f64 r (sin.f64 b))))
(*.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)

simplify384.0ms (3.4%)

Memory
26.0MiB live, 566.2MiB 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
21598886
35419885
08303853
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(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)))
(/ (* 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)
Outputs
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (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 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (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 #s(literal -1/2 binary64) (cos.f64 a))) (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 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 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))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) 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 (sin.f64 a) (/.f64 (*.f64 b r) (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 (sin.f64 a) r) (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 (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 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (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 (neg.f64 a) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* 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 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)))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* b r)
(*.f64 b r)
(* 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 (*.f64 r (*.f64 b b)) (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 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
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 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b 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)

eval30.0ms (0.3%)

Memory
-22.2MiB live, 77.5MiB allocated
Compiler

Compiled 3 879 to 534 computations (86.2% saved)

prune53.0ms (0.5%)

Memory
-7.6MiB live, 150.8MiB allocated
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New19835233
Fresh000
Picked101
Done000
Total19935234
Accuracy
99.8%
Counts
234 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
34.1%
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
76.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
61.4%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
49.3%
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b)))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))
98.5%
(/.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))))))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
77.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
47.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
49.0%
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
49.4%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
49.3%
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
77.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
76.7%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
77.0%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
77.0%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
78.1%
(*.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)))))
77.1%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
77.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
77.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
77.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
76.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
77.1%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
77.1%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
49.6%
(*.f64 r (/.f64 b (cos.f64 a)))
49.2%
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
34.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 1 350 to 846 computations (37.3% saved)

simplify304.0ms (2.7%)

Memory
9.1MiB live, 322.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))
cost-diff13824
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 b (cos.f64 a))
cost-diff0
(*.f64 r (/.f64 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
4 572×lower-*.f32
4 558×lower-*.f64
1 980×lower-/.f32
1 966×lower-/.f64
1 446×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028213
053193
199193
2214193
3529193
41794193
53083193
65081193
08330193
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)
(*.f64 r (/.f64 b (cos.f64 a)))
r
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
r
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
(cos.f64 (+.f64 a b))
(+.f64 a 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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
r
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
r
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 r (sin.f64 b))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)

localize196.0ms (1.7%)

Memory
3.2MiB live, 292.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
accuracy99.5%
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
accuracy77.5%
(cos.f64 (-.f64 a b))
accuracy77.3%
(cos.f64 (+.f64 a b))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
accuracy77.3%
(cos.f64 (+.f64 a b))
accuracy100.0%
(sin.f64 b)
accuracy99.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
accuracy99.6%
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy77.3%
(cos.f64 (+.f64 a b))
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(*.f64 r (/.f64 b (cos.f64 a)))
accuracy99.7%
(/.f64 b (cos.f64 a))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy99.6%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Samples
116.0ms180×1valid
20.0ms76×0valid
Compiler

Compiled 217 to 31 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-cos: 32.0ms (31.8% of total)
ival-mult: 23.0ms (22.9% of total)
ival-sin: 16.0ms (15.9% of total)
ival-div: 14.0ms (13.9% of total)
adjust: 9.0ms (9% of total)
ival-add: 4.0ms (4% of total)
ival-sub: 2.0ms (2% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory
8.8MiB live, 45.7MiB allocated
Counts
17 → 444
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 (sin.f64 b) (sin.f64 a))>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (/.f64 b (cos.f64 a))>
#<alt (*.f64 r (/.f64 b (cos.f64 a)))>
#<alt (cos.f64 a)>
#<alt (cos.f64 (+.f64 a b))>
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)>
#<alt (sin.f64 b)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))>
#<alt (cos.f64 (-.f64 a b))>
#<alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))>
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 (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
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#<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))))>
Calls

111 calls:

TimeVariablePointExpression
28.0ms
a
@0
(/ b (cos a))
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
2.0ms
b
@inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
1.0ms
a
@inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
1.0ms
a
@-inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))

rewrite400.0ms (3.5%)

Memory
4.6MiB live, 550.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 306×lower-*.f32
5 292×lower-*.f64
5 060×lower-/.f32
5 046×lower-/.f64
2 886×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028131
05397
119497
2135397
0852797
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 476
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 (sin.f64 b) (sin.f64 a))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
(/.f64 b (cos.f64 a))
(*.f64 r (/.f64 b (cos.f64 a)))
(cos.f64 a)
(cos.f64 (+.f64 a b))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(sin.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 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 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(cos.f64 (-.f64 a b))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 r (sin.f64 b))) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (log.f64 (*.f64 r (sin.f64 b)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 r (sin.f64 b))))))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) (/.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (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) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (cos.f64 (-.f64 a b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
(/.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b)))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 b) (*.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 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r #s(literal 1 binary64)) #s(literal 1 binary64)))
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simplify411.0ms (3.6%)

Memory
-15.8MiB live, 667.2MiB allocated
Algorithm
egg-herbie
Rules
8 196×lower-fma.f64
8 196×lower-fma.f32
7 828×lower-*.f64
7 828×lower-*.f32
2 550×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04595212
115054948
249594842
087904668
Stop Event
iter limit
node limit
Counts
444 → 442
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))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (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) (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))
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)
(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)))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (* 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)))
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))
(* 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))
(/ (* 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))))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(cos (neg b))
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (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 (neg b)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(pow (cos a) 2)
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (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 (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 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))))
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 (*.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 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 (fma.f64 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (neg.f64 b) (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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))))
(/ (* 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 r (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (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 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 a (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (*.f64 r (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))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (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 2 binary64)))) (/.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))))
(* 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))
(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 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (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 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) (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)))
(- (* (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)))
(- (* (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)))
(- (* (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)))
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(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(cos (neg b))
(cos.f64 b)
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(fma.f64 (sin.f64 b) a (cos.f64 b))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 b) a))) (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 (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* b (sin a)))
(fma.f64 b (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(fma.f64 b (fma.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))))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (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 (neg b)))
(pow.f64 (cos.f64 b) #s(literal 2 binary64))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))
(fma.f64 a #s(literal 0 binary64) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (*.f64 a (-.f64 (neg.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (*.f64 a (-.f64 (-.f64 (*.f64 a #s(literal 0 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (neg.f64 b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (*.f64 b (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 (sin.f64 a) #s(literal -1/2 binary64)) (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (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)))
(/ (* 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 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 (fma.f64 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (neg.f64 b) (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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))))
(/ (* 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 r (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (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 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 a (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (*.f64 r (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))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (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 2 binary64)))) (/.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)))

eval423.0ms (3.7%)

Memory
44.6MiB live, 766.2MiB allocated
Compiler

Compiled 67 742 to 3 813 computations (94.4% saved)

prune316.0ms (2.8%)

Memory
-2.8MiB live, 834.6MiB allocated
Pruning

80 alts after pruning (78 fresh and 2 done)

PrunedKeptTotal
New2 424682 492
Fresh201030
Picked325
Done000
Total2 447802 527
Accuracy
100.0%
Counts
2 527 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.2%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
61.4%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
49.3%
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
68.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))
62.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b)))
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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
47.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
49.6%
(/.f64 (*.f64 r b) (cos.f64 a))
49.0%
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
49.3%
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
76.6%
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
77.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
49.5%
(/.f64 r (/.f64 (cos.f64 a) b))
76.7%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
76.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
28.7%
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
34.8%
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
49.4%
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r)
46.4%
(*.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
77.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
98.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) r)))
76.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.5%
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64))
63.2%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
55.7%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
98.6%
(*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
99.3%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (cos.f64 (-.f64 a b)))
61.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b))
53.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a))
53.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
59.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r)
77.1%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r)
98.7%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) r)
50.7%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
98.5%
(*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
77.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))))
61.3%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
77.1%
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b))))
76.5%
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)))
77.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
49.5%
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
35.0%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
76.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
60.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
61.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
52.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
77.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
77.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
77.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
49.4%
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
35.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r)
43.8%
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
33.0%
(*.f64 r (/.f64 b (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))))
33.0%
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
33.2%
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
49.6%
(*.f64 r (/.f64 b (cos.f64 a)))
49.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
33.9%
(*.f64 r b)
49.6%
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
34.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 396 to 2 062 computations (39.3% saved)

simplify115.0ms (1%)

Memory
17.5MiB live, 131.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))
cost-diff0
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
cost-diff0
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
cost-diff0
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
cost-diff0
(cos.f64 a)
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
cost-diff0
(*.f64 r b)
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff0
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
Rules
1 112×lower-fma.f32
1 110×lower-fma.f64
988×lower-*.f32
972×lower-*.f64
402×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029204
054204
191202
2133202
3168202
4190202
5244202
6359202
7582202
8914202
91431202
101984202
112345202
122528202
132584202
142593202
152593202
162593202
172593202
02593202
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
r
(*.f64 r b)
r
b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 a)
a
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(sin.f64 b)
b
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
r
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
(*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (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 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
r
(*.f64 r b)
(*.f64 b r)
r
b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(cos.f64 a)
a
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(sin.f64 b)
b
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
r
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) #s(literal -1/2 binary64)) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) #s(literal -1/2 binary64))
(*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize232.0ms (2%)

Memory
-13.8MiB live, 399.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
accuracy77.3%
(cos.f64 (+.f64 a b))
accuracy64.5%
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
accuracy99.8%
(*.f64 b (sin.f64 a))
accuracy99.7%
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
accuracy100.0%
(*.f64 r b)
accuracy99.9%
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy99.8%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
accuracy99.6%
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
163.0ms181×1valid
20.0ms75×0valid
Compiler

Compiled 209 to 32 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-sin: 52.0ms (34.3% of total)
ival-cos: 38.0ms (25.1% of total)
ival-mult: 22.0ms (14.5% of total)
ival-div: 12.0ms (7.9% of total)
adjust: 9.0ms (5.9% of total)
ival-pow: 9.0ms (5.9% of total)
ival-add: 4.0ms (2.6% of total)
exact: 3.0ms (2% of total)
ival-sub: 2.0ms (1.3% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (0.8%)

Memory
-9.0MiB live, 67.0MiB allocated
Counts
16 → 408
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))>
#<alt (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))>
#<alt (*.f64 (cos.f64 b) (cos.f64 a))>
#<alt (*.f64 r b)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (cos.f64 a)>
#<alt (sin.f64 b)>
#<alt (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))>
#<alt (*.f64 b (sin.f64 a))>
#<alt (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)>
#<alt (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))>
#<alt (cos.f64 (+.f64 a b))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))>
Outputs
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (/ (* r (sin b)) (cos a))>
#<alt (* r (sin b))>
#<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 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (* -1 (/ (* b (* (sin a) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* -1 (/ (sin b) (* b (sin a))))>
#<alt (/ (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (cos a) (sin b)) (* b (pow (sin a) 2))))) b)>
#<alt (/ (- (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (pow (cos a) 2) (sin b)) (* (pow b 2) (pow (sin a) 3))))) (/ (* (cos a) (sin b)) (* b (pow (sin a) 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (pow (cos a) 3) (sin b)) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* (cos a) (sin b)) (* b (pow (sin a) 2))) (/ (* (pow (cos a) 2) (sin b)) (* (pow b 2) (pow (sin a) 3))))) b)>
#<alt (* -1 (/ (sin b) (* b (sin a))))>
#<alt (* -1 (/ (+ (/ (sin b) (sin a)) (/ (* (cos a) (sin b)) (* b (pow (sin a) 2)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (cos a) 2) (sin b)) (* b (pow (sin a) 3)))) (/ (* (cos a) (sin b)) (pow (sin a) 2))) b)) (/ (sin b) (sin a))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (cos a) 3) (sin b)) (* b (pow (sin a) 4))) (* -1 (/ (* (pow (cos a) 2) (sin b)) (pow (sin a) 3)))) b)) (/ (* (cos a) (sin b)) (pow (sin a) 2))) b)) (/ (sin b) (sin a))) b))>
#<alt (sin b)>
#<alt (+ (sin b) (* a (* b (sin b))))>
#<alt (+ (sin b) (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b))))) (* -1 (* b (sin b))))))>
#<alt (+ (sin b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (sin b))) (+ (* 1/6 (* b (sin b))) (* b (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b)))))))) (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b))))) (* -1 (* b (sin b))))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (/ (sin b) (- (cos a) (* b (sin a))))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* a b)>
#<alt (* a (+ b (* -1/6 (* (pow a 2) b))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* -1 (/ (* r (sin b)) (* b (sin a))))>
#<alt (/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b)>
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b)>
#<alt (* -1 (/ (* r (sin b)) (* b (sin a))))>
#<alt (* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))>
#<alt (* r (sin b))>
#<alt (+ (* a (* b (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ (* r (sin b)) (- (cos a) (* b (sin a))))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (/ -1 (* r (sin b)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (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)))>
#<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 (* -1 (* r (sin b)))>
#<alt (* -1 (* r (sin b)))>
#<alt (* -1 (* r (sin b)))>
#<alt (* -1 (* 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 (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))>
#<alt (/ (* 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))))>
Calls

102 calls:

TimeVariablePointExpression
51.0ms
r
@0
(* (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a)))) r)
1.0ms
a
@0
(/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a))))
1.0ms
a
@inf
(/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a))))
1.0ms
b
@inf
(/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a))))
1.0ms
a
@-inf
(/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a))))

rewrite280.0ms (2.5%)

Memory
-0.1MiB live, 466.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 728×lower-/.f32
4 718×lower-/.f64
4 704×lower-*.f32
4 688×lower-*.f64
2 364×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029138
054129
119292
2121792
0842292
Stop Event
iter limit
node limit
iter limit
Counts
16 → 855
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 r b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 r (sin.f64 b))
(cos.f64 a)
(sin.f64 b)
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(*.f64 b (sin.f64 a))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 3 binary64)))) (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))))
(/.f64 (*.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)))) (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) (-.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 b) (-.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)))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) #s(literal 4 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.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) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.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) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (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 (sin.f64 b) r))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))))
(*.f64 (/.f64 r (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))

simplify445.0ms (3.9%)

Memory
12.1MiB live, 604.5MiB allocated
Algorithm
egg-herbie
Rules
8 978×lower-fma.f64
8 978×lower-fma.f32
7 026×lower-*.f64
7 026×lower-*.f32
2 854×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105142
120444915
271184802
081344649
Stop Event
iter limit
node limit
Counts
408 → 407
Calls
Call 1
Inputs
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* b r) (cos a))
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(* r (sin b))
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b))))))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(/ (* r (sin b)) (cos a))
(* r (sin b))
(* 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))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (* -1 (/ (* b (* (sin a) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* -1 (/ (sin b) (* b (sin a))))
(/ (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (cos a) (sin b)) (* b (pow (sin a) 2))))) b)
(/ (- (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (pow (cos a) 2) (sin b)) (* (pow b 2) (pow (sin a) 3))))) (/ (* (cos a) (sin b)) (* b (pow (sin a) 2)))) b)
(/ (- (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (pow (cos a) 3) (sin b)) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* (cos a) (sin b)) (* b (pow (sin a) 2))) (/ (* (pow (cos a) 2) (sin b)) (* (pow b 2) (pow (sin a) 3))))) b)
(* -1 (/ (sin b) (* b (sin a))))
(* -1 (/ (+ (/ (sin b) (sin a)) (/ (* (cos a) (sin b)) (* b (pow (sin a) 2)))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (cos a) 2) (sin b)) (* b (pow (sin a) 3)))) (/ (* (cos a) (sin b)) (pow (sin a) 2))) b)) (/ (sin b) (sin a))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (cos a) 3) (sin b)) (* b (pow (sin a) 4))) (* -1 (/ (* (pow (cos a) 2) (sin b)) (pow (sin a) 3)))) b)) (/ (* (cos a) (sin b)) (pow (sin a) 2))) b)) (/ (sin b) (sin a))) b))
(sin b)
(+ (sin b) (* a (* b (sin b))))
(+ (sin b) (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b))))) (* -1 (* b (sin b))))))
(+ (sin b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (sin b))) (+ (* 1/6 (* b (sin b))) (* b (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b)))))))) (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b))))) (* -1 (* b (sin b))))))
(/ (sin b) (- (cos a) (* b (sin a))))
(/ (sin b) (- (cos a) (* b (sin a))))
(/ (sin b) (- (cos a) (* b (sin a))))
(/ (sin b) (- (cos a) (* b (sin a))))
(/ (sin b) (- (cos a) (* b (sin a))))
(/ (sin b) (- (cos a) (* b (sin a))))
(/ (sin b) (- (cos a) (* b (sin a))))
(/ (sin b) (- (cos a) (* b (sin a))))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* a b)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* -1 (/ (* r (sin b)) (* b (sin a))))
(/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b)
(* -1 (/ (* r (sin b)) (* b (sin a))))
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))
(* r (sin b))
(+ (* a (* b (* r (sin b)))) (* r (sin b)))
(+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ (* r (sin b)) (- (cos a) (* b (sin a))))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(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)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* 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))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/ (* 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))))
Outputs
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
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(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* b r)
(*.f64 b r)
(* 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 b (*.f64 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 b (*.f64 b (*.f64 r (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) r)) r))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(/.f64 (*.f64 b r) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (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 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (cos.f64 a))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 a) r) (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 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (cos.f64 a))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)))) (cos.f64 a))) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (cos.f64 a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (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 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 (sin.f64 b) (/.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 (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 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))

eval218.0ms (1.9%)

Memory
13.5MiB live, 392.9MiB allocated
Compiler

Compiled 35 662 to 2 798 computations (92.2% saved)

prune254.0ms (2.2%)

Memory
10.8MiB live, 648.2MiB allocated
Pruning

98 alts after pruning (93 fresh and 5 done)

PrunedKeptTotal
New1 425431 468
Fresh235073
Picked235
Done022
Total1 450981 548
Accuracy
100.0%
Counts
1 548 → 98
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
35.2%
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a))
52.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a))
99.2%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
20.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a))
61.4%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
49.3%
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
49.1%
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
68.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))
62.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
34.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
47.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
49.6%
(/.f64 (*.f64 r b) (cos.f64 a))
49.0%
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
49.3%
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
18.5%
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a))
17.6%
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
39.6%
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
33.6%
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a))
76.6%
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
77.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
49.5%
(/.f64 r (/.f64 (cos.f64 a) b))
76.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
76.6%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
76.7%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
52.4%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r)))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
76.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
28.7%
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
33.8%
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
30.6%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
34.8%
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
57.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
98.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
98.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) r)))
76.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.5%
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64))
98.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) (-.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) r)
98.6%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
55.7%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
99.3%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (cos.f64 (-.f64 a b)))
61.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b))
53.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a))
53.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
59.8%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (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)))) r)
99.3%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) r)
59.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
62.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r)
53.8%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r)
59.9%
(*.f64 (/.f64 (sin.f64 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)))) r)
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
88.6%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) r)
98.7%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) r)
77.1%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r)
61.3%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
98.7%
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
77.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
49.5%
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
30.6%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
76.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
61.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
17.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
76.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
77.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
52.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r))
98.7%
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
77.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
46.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r)))
77.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
77.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
30.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
49.4%
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
52.8%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
37.4%
(*.f64 (sin.f64 b) r)
17.6%
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
43.8%
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
33.0%
(*.f64 r (/.f64 b (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))))
33.0%
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
33.2%
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
49.6%
(*.f64 r (/.f64 b (cos.f64 a)))
49.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
33.9%
(*.f64 r b)
49.6%
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
24.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
Compiler

Compiled 4 211 to 2 566 computations (39.1% saved)

simplify194.0ms (1.7%)

Memory
-35.9MiB live, 334.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))
cost-diff0
(-.f64 a b)
cost-diff0
(cos.f64 (-.f64 a b))
cost-diff14208
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
cost-diff0
(/.f64 #s(literal 1 binary64) r)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
cost-diff0
(cos.f64 b)
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
cost-diff0
(*.f64 r b)
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
Rules
4 612×lower-*.f32
4 596×lower-*.f64
2 408×lower-fma.f32
2 404×lower-fma.f64
1 812×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035212
067204
1110192
2198192
3440192
41075192
52428192
63702192
75106192
08223192
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 r b)
r
b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(cos.f64 b)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
(/.f64 #s(literal 1 binary64) r)
r
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (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 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (fma.f64 (*.f64 a a) (*.f64 b #s(literal 1/2 binary64)) b))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 r b)
r
b
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
b
r
(cos.f64 b)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 r (sin.f64 b))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) r)
r
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
b
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))
(*.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)

localize205.0ms (1.8%)

Memory
-6.1MiB live, 414.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))
accuracy99.1%
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
accuracy77.5%
(cos.f64 (-.f64 a b))
accuracy77.3%
(cos.f64 (+.f64 b a))
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
accuracy77.3%
(cos.f64 (+.f64 a b))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(cos.f64 b)
accuracy99.8%
(*.f64 (sin.f64 b) r)
accuracy99.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
accuracy100.0%
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 r b)
accuracy100.0%
(*.f64 a a)
accuracy91.8%
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
accuracy99.9%
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
133.0ms181×1valid
22.0ms75×0valid
Compiler

Compiled 218 to 39 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-cos: 35.0ms (28.3% of total)
ival-mult: 22.0ms (17.8% of total)
ival-sin: 21.0ms (17% of total)
ival-div: 16.0ms (13% of total)
ival-add: 14.0ms (11.3% of total)
adjust: 12.0ms (9.7% of total)
ival-sub: 2.0ms (1.6% of total)
ival-neg: 2.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-10.5MiB live, 27.6MiB allocated
Counts
20 → 492
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (*.f64 (cos.f64 b) (cos.f64 a))>
#<alt (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))>
#<alt (*.f64 a a)>
#<alt (*.f64 r b)>
#<alt (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))>
#<alt (*.f64 (sin.f64 b) r)>
#<alt (cos.f64 b)>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (cos.f64 (-.f64 a b))>
#<alt (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))>
#<alt (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))>
Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (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 (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (* 1/2 (* (pow a 2) (* b r)))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* 1/2 (* (pow a 2) (* b r)))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (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 (pow a 2)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow a 2)))>
#<alt (+ 1 (* 1/2 (pow a 2)))>
#<alt (+ 1 (* 1/2 (pow a 2)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))>
#<alt (* b r)>
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt 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)))>
#<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 (/ (* 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 (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (neg b))>
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* b (sin a)))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (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 (/ (* 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)) (/ (* 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 (+ 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 (/ (cos (neg b)) (* r (sin b)))>
#<alt (+ (* -1 (/ (* a (sin (neg b))) (* r (sin b)))) (/ (cos (neg b)) (* r (sin b))))>
#<alt (+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* -1/2 (/ (* a (cos (neg b))) (* r (sin b)))))) (/ (cos (neg b)) (* r (sin b))))>
#<alt (+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* a (+ (* -1/2 (/ (cos (neg b)) (* r (sin b)))) (* 1/6 (/ (* a (sin (neg b))) (* r (sin b)))))))) (/ (cos (neg b)) (* r (sin b))))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))>
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))>
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))>
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))>
#<alt (/ (cos a) (* b r))>
#<alt (/ (+ (/ (cos a) r) (/ (* b (sin a)) r)) b)>
#<alt (/ (+ (* b (+ (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b)>
#<alt (/ (+ (* b (+ (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b)>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))>
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))>
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))>
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
#<alt (/ (cos (- a b)) (* r (sin b)))>
Calls

123 calls:

TimeVariablePointExpression
24.0ms
b
@0
(/ (cos (- a b)) (* r (sin b)))
1.0ms
r
@0
(* (+ (* (* a a) 1/2) 1) (* r b))
1.0ms
r
@0
(/ (cos (- a b)) (* r (sin b)))
1.0ms
b
@0
(* (+ (* (* a a) 1/2) 1) (* r b))
1.0ms
a
@inf
(* (+ (* (* a a) 1/2) 1) (* r b))

rewrite275.0ms (2.4%)

Memory
25.8MiB live, 459.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 922×lower-/.f32
4 906×lower-/.f64
3 944×lower-*.f32
3 928×lower-*.f64
2 980×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035142
067153
1235118
21501115
08706115
Stop Event
iter limit
node limit
iter limit
Counts
20 → 916
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 r (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 a a)
(*.f64 r b)
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) r)
(cos.f64 b)
(sin.f64 b)
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 a b))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))))
(-.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 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (/.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 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (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) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
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(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 r)))

simplify662.0ms (5.8%)

Memory
-21.0MiB live, 379.2MiB allocated
Algorithm
egg-herbie
Rules
8 828×lower-fma.f64
8 828×lower-fma.f32
7 280×lower-*.f64
7 280×lower-*.f32
2 366×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04195104
113114878
241604777
088374567
Stop Event
iter limit
node limit
Counts
492 → 491
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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) (* -1/2 (* (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))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(* 1/2 (* (pow a 2) (* b r)))
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))
(* 1/2 (* (pow a 2) (* b r)))
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(* b (* r (+ 1 (* 1/2 (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)
(pow a 2)
(pow a 2)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
1
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* 1/2 (pow a 2)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))
(* b r)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
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)))
(* 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))
(/ (* 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))))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (neg b))
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (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)))
(/ (* 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 (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 (+ 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)))
(/ (cos (neg b)) (* r (sin b)))
(+ (* -1 (/ (* a (sin (neg b))) (* r (sin b)))) (/ (cos (neg b)) (* r (sin b))))
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* -1/2 (/ (* a (cos (neg b))) (* r (sin b)))))) (/ (cos (neg b)) (* r (sin b))))
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* a (+ (* -1/2 (/ (cos (neg b)) (* r (sin b)))) (* 1/6 (/ (* a (sin (neg b))) (* r (sin b)))))))) (/ (cos (neg 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 (neg (+ b (* -1 a)))) (* r (sin b)))
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))
(/ (cos a) (* b r))
(/ (+ (/ (cos a) r) (/ (* b (sin a)) r)) b)
(/ (+ (* b (+ (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b)
(/ (+ (* b (+ (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) 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 (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
(/ (cos (- a b)) (* r (sin b)))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* 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))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 #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))))
(* 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 (fma.f64 (sin.f64 a) (/.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 #s(literal 1/2 binary64)) (cos.f64 a)))) (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 #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)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (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 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (cos.f64 b)) (neg.f64 (/.f64 (neg.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))))) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (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)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.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 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 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 (-.f64 (*.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (sin.f64 a)) (cos.f64 a))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(cos b)
(cos.f64 b)
(+ (cos b) (* a (sin (neg b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (+ (sin (neg 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 (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(fma.f64 a (-.f64 (*.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (sin.f64 b)) (cos.f64 b))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
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(+ (/ (* 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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) 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 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (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 a (fma.f64 a (fma.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (*.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 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (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)))
(/ (* 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)))
(/ (* 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))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 #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))))
(* 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 (fma.f64 (sin.f64 a) (/.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 #s(literal 1/2 binary64)) (cos.f64 a)))) (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (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 #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)) (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 (+ 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)))
(/ (cos (neg b)) (* r (sin b)))
(/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))
(+ (* -1 (/ (* a (sin (neg b))) (* r (sin b)))) (/ (cos (neg b)) (* r (sin b))))
(+.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* -1/2 (/ (* a (cos (neg b))) (* r (sin b)))))) (/ (cos (neg b)) (* r (sin b))))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (cos.f64 b)) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* a (+ (* -1/2 (/ (cos (neg b)) (* r (sin b)))) (* 1/6 (/ (* a (sin (neg b))) (* r (sin b)))))))) (/ (cos (neg b)) (* r (sin b))))
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) (/.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (*.f64 #s(literal -1/6 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos a) (* b r))
(/.f64 (cos.f64 a) (*.f64 r b))
(/ (+ (/ (cos a) r) (/ (* b (sin a)) r)) b)
(/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)
(/ (+ (* b (+ (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b)
(/.f64 (fma.f64 b (fma.f64 b (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64)) (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) r)) b)
(/ (+ (* b (+ (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (cos.f64 a) (/.f64 #s(literal 1/24 binary64) r) (fma.f64 (/.f64 (cos.f64 a) r) #s(literal -1/120 binary64) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/18 binary64)))) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64))) (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) r)) b)
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (+ a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (+ a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (+ a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (+ a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))
(/ (cos (- a b)) (* r (sin b)))
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b)))

eval331.0ms (2.9%)

Memory
34.8MiB live, 217.9MiB allocated
Compiler

Compiled 38 906 to 2 702 computations (93.1% saved)

prune594.0ms (5.2%)

Memory
-2.6MiB live, 518.5MiB allocated
Pruning

99 alts after pruning (91 fresh and 8 done)

PrunedKeptTotal
New1 560311 591
Fresh286088
Picked235
Done055
Total1 590991 689
Accuracy
100.0%
Counts
1 689 → 99
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
35.2%
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a))
36.6%
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b))
30.7%
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b))
99.3%
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
61.2%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
52.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
99.2%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
99.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
61.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b))
20.3%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a))
61.4%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
62.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
53.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
59.9%
(/.f64 (*.f64 r (sin.f64 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))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
47.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
49.6%
(/.f64 (*.f64 r b) (cos.f64 a))
18.5%
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a))
17.6%
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
39.6%
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
34.9%
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b))
33.6%
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a))
98.8%
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
49.8%
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)))
76.5%
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b))))
52.5%
(/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
77.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
49.5%
(/.f64 r (/.f64 (cos.f64 a) b))
26.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
76.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
76.6%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
76.7%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
52.4%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r)))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
61.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
28.7%
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
77.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
57.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
98.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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) r)) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.5%
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64))
98.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) (-.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) r)
55.7%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
99.3%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (cos.f64 (-.f64 a b)))
61.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b))
53.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a))
53.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
99.3%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) r)
59.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
62.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r)
53.8%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r)
99.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
98.7%
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) r)
77.1%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r)
61.3%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
61.3%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
49.5%
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
30.6%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
49.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
98.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
17.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
61.3%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
52.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r))
98.7%
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
77.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
30.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
12.2%
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
52.8%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
37.4%
(*.f64 (sin.f64 b) r)
17.6%
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
43.8%
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
33.0%
(*.f64 r (/.f64 b (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))))
33.0%
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
33.2%
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
49.6%
(*.f64 r (/.f64 b (cos.f64 a)))
49.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
61.3%
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
61.4%
(*.f64 r (tan.f64 b))
33.9%
(*.f64 r b)
33.5%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
33.5%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
33.5%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
49.6%
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
24.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
27.6%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 5 484 to 1 898 computations (65.4% saved)

regimes296.0ms (2.6%)

Memory
2.9MiB live, 486.0MiB allocated
Counts
178 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
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(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) r)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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) r)) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
(*.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 (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 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(/.f64 (*.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))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) (-.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) 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)))))
Calls

4 calls:

94.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
74.0ms
b
70.0ms
a
50.0ms
r
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes179.0ms (1.6%)

Memory
-27.1MiB live, 456.9MiB allocated
Counts
144 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.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) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r)
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.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 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 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)))) r)
(/.f64 (*.f64 r (sin.f64 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))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))
(/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
Outputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
Calls

4 calls:

46.0ms
r
42.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
41.0ms
b
41.0ms
a
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes165.0ms (1.5%)

Memory
37.4MiB live, 354.2MiB allocated
Counts
143 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.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) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r)
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.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 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 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)))) r)
(/.f64 (*.f64 r (sin.f64 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))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))
(/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
Outputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
Calls

4 calls:

40.0ms
a
40.0ms
r
39.0ms
b
39.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.4%1r
99.4%1a
99.4%1b
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes162.0ms (1.4%)

Memory
-5.0MiB live, 398.9MiB allocated
Counts
141 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.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) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r)
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.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 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 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)))) r)
(/.f64 (*.f64 r (sin.f64 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))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))
(/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b)))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b))
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Calls

4 calls:

41.0ms
a
39.0ms
b
39.0ms
r
38.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
77.2%1r
77.2%1a
77.2%1b
77.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes51.0ms (0.4%)

Memory
-15.9MiB live, 143.8MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
Calls

4 calls:

13.0ms
a
12.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms
r
11.0ms
b
Results
AccuracySegmentsBranch
77.1%3a
65.3%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
61.4%1r
77.0%3b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes23.0ms (0.2%)

Memory
-12.0MiB live, 65.6MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.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)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 r (tan.f64 b))
Calls

2 calls:

10.0ms
b
10.0ms
a
Results
AccuracySegmentsBranch
77.0%3b
75.7%3a
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b)))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r (tan.f64 b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
77.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Memory
-18.0MiB live, 63.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 r (tan.f64 b))
Calls

4 calls:

5.0ms
r
5.0ms
a
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
b
Results
AccuracySegmentsBranch
61.4%1r
61.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
61.4%1a
61.4%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.1%)

Memory
-2.2MiB live, 37.5MiB allocated
Accuracy

Total -15.5b remaining (-36.6%)

Threshold costs -15.5b (-36.6%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 r (/.f64 b (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r))
Outputs
(*.f64 r b)
Calls

4 calls:

4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
b
4.0ms
a
4.0ms
r
Results
AccuracySegmentsBranch
33.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.9%1b
33.9%1r
33.9%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch53.0ms (0.5%)

Memory
24.6MiB live, 148.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
2.2226222622285858e-5
7.51749055697458e+21
22.0ms
-9.238173421871135
-5.584079262641169e-5
Samples
28.0ms163×1valid
10.0ms157×0valid
Compiler

Compiled 395 to 294 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 10.0ms (35.4% of total)
ival-sin: 7.0ms (24.8% of total)
adjust: 3.0ms (10.6% of total)
ival-mult: 3.0ms (10.6% of total)
ival-add: 2.0ms (7.1% of total)
ival-div: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory
-22.7MiB live, 93.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.4124132111875313e-23
8.093840301504903e-20
23.0ms
-0.008766626292142202
-1.9013744317294092e-17
Samples
18.0ms130×1valid
10.0ms158×0valid
Compiler

Compiled 375 to 284 computations (24.3% saved)

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

bsearch1.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
3.4124132111875313e-23
8.093840301504903e-20
1.0ms
-0.008766626292142202
-1.9013744317294092e-17
Compiler

Compiled 339 to 248 computations (26.8% saved)

simplify8.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049136
174136
285136
391136
493136
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 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -2824657686286775/1152921504606846976 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) (*.f64 r (tan.f64 b)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 r b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 a #s(literal -2824657686286775/1152921504606846976 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) (*.f64 r (tan.f64 b)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))))
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 r b)

soundness982.0ms (8.6%)

Memory
-29.4MiB live, 929.1MiB allocated
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
8 196×lower-fma.f64
8 196×lower-fma.f32
7 828×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028131
05397
119497
2135397
0852797
04595212
115054948
249594842
087904668
0819
01319
14419
223419
3205019
0843819
035142
067153
1235118
21501115
08706115
029138
054129
119292
2121792
0842292
0167960
1517928
21598886
35419885
08303853
Stop Event
fuel
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
iter limit
node limit
iter limit
Compiler

Compiled 364 to 202 computations (44.5% saved)

preprocess91.0ms (0.8%)

Memory
38.1MiB live, 116.5MiB allocated
Remove

(negabs r)

Compiler

Compiled 492 to 234 computations (52.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...