rsin A (should all be same)

Time bar (total: 12.5s)

analyze306.0ms (2.4%)

Memory
-31.5MiB live, 504.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.9s (15.1%)

Memory
-104.3MiB live, 2 059.9MiB allocated
Samples
1.1s5 958×1valid
176.0ms2 298×0valid
Precisions
Click to see histograms. Total time spent on operations: 894.0ms
ival-cos: 266.0ms (29.8% of total)
ival-sin: 250.0ms (28% of total)
adjust: 117.0ms (13.1% of total)
ival-mult: 90.0ms (10.1% of total)
ival-add: 81.0ms (9.1% of total)
ival-div: 80.0ms (9% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess108.0ms (0.9%)

Memory
11.8MiB live, 49.4MiB 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)

explain139.0ms (1.1%)

Memory
27.7MiB live, 227.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
81111(1.0442720208592524e-305 -1.2105416855253093e+236 8.93416011773992e-264)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 -
+810
-11164
Precision
0.421875
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8100
-111064
Precision?
0.421875
Recall?
1.0
Freqs
test
numberfreq
064
1192
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms356×1valid
15.0ms156×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-cos: 20.0ms (35.8% of total)
ival-sin: 12.0ms (21.5% of total)
ival-mult: 7.0ms (12.5% of total)
ival-add: 6.0ms (10.7% of total)
adjust: 6.0ms (10.7% of total)
ival-div: 4.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune7.0ms (0.1%)

Memory
-36.0MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
11.9MiB live, 11.9MiB 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

localize56.0ms (0.4%)

Memory
-31.6MiB live, 107.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy73.5%
(cos.f64 (+.f64 a b))
Samples
30.0ms178×1valid
8.0ms78×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 9.0ms (36.7% of total)
ival-sin: 6.0ms (24.4% of total)
adjust: 3.0ms (12.2% of total)
ival-add: 2.0ms (8.1% of total)
ival-div: 2.0ms (8.1% of total)
ival-mult: 2.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>
Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
Calls

24 calls:

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

simplify389.0ms (3.1%)

Memory
42.9MiB live, 769.8MiB allocated
Algorithm
egg-herbie
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
4 746×lower-*.f64
4 746×lower-*.f32
2 894×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite327.0ms (2.6%)

Memory
-6.3MiB live, 644.5MiB 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
0844119
Stop Event
iter limit
node limit
iter limit
Counts
4 → 138
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r)))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 r (sin.f64 b))
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b))))
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r))
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b)))
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r)
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(cos.f64 (+.f64 b a))
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval28.0ms (0.2%)

Memory
-2.3MiB live, 76.1MiB allocated
Compiler

Compiled 3 879 to 535 computations (86.2% saved)

prune77.0ms (0.6%)

Memory
18.9MiB live, 137.4MiB allocated
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New20033233
Fresh000
Picked011
Done000
Total20034234
Accuracy
99.8%
Counts
234 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
72.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 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)))))
98.7%
(/.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))))))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
49.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
49.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
56.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
57.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
50.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
51.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
47.8%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
48.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
47.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
73.3%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
72.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
73.2%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
73.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
73.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
73.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
73.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
73.3%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
73.3%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
73.3%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
38.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
Compiler

Compiled 1 222 to 774 computations (36.7% saved)

simplify718.0ms (5.7%)

Memory
-10.8MiB live, 738.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
cost-diff0
(*.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))))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
cost-diff6464
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
cost-diff0
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
cost-diff0
(cos.f64 a)
cost-diff0
(*.f64 r b)
cost-diff0
(/.f64 (*.f64 r b) (cos.f64 a))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
29 012×lower-fma.f32
29 008×lower-fma.f64
3 830×lower-*.f32
3 816×lower-*.f64
2 008×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037256
063254
1114254
2191254
3350251
4728251
51234251
61517251
72702251
84476251
95956251
106559251
116721251
126773251
136915251
147271251
157435251
167451251
177455251
187463251
197463251
207463251
217463251
08190248
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
a
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.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
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(*.f64 r (sin.f64 a))
r
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
a
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b (fma.f64 (sin.f64 a) (*.f64 b (/.f64 r (cos.f64 a))) r)) (cos.f64 a)))
(*.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))))
(/.f64 (*.f64 b (fma.f64 (sin.f64 a) (*.f64 b (/.f64 r (cos.f64 a))) r)) (cos.f64 a))
b
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(/.f64 (fma.f64 (sin.f64 a) (*.f64 b (/.f64 r (cos.f64 a))) r) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(*.f64 r (sin.f64 a))
r
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))

localize277.0ms (2.2%)

Memory
-14.1MiB live, 442.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
accuracy99.6%
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy97.7%
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
accuracy48.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(*.f64 (sin.f64 b) a)
accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
accuracy51.9%
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
accuracy73.5%
(cos.f64 (+.f64 b a))
accuracy100.0%
(*.f64 r b)
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(/.f64 (*.f64 r b) (cos.f64 a))
accuracy48.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Samples
145.0ms178×1valid
23.0ms78×0valid
Compiler

Compiled 221 to 35 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-cos: 34.0ms (28.2% of total)
ival-mult: 20.0ms (16.6% of total)
ival-sin: 19.0ms (15.7% of total)
ival-div: 17.0ms (14.1% of total)
adjust: 10.0ms (8.3% of total)
ival-add: 8.0ms (6.6% of total)
ival-sub: 5.0ms (4.1% of total)
ival-pow2: 5.0ms (4.1% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series71.0ms (0.6%)

Memory
-0.6MiB live, 77.2MiB allocated
Counts
21 → 564
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))>
#<alt (/.f64 (*.f64 r b) (cos.f64 a))>
#<alt (*.f64 r b)>
#<alt (cos.f64 a)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))>
#<alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))>
#<alt (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))>
#<alt (*.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))))>
#<alt (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
#<alt (*.f64 (sin.f64 b) a)>
#<alt (pow.f64 (cos.f64 a) #s(literal 2 binary64))>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
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#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* b r)>
#<alt (+ (* a (* (pow b 2) r)) (* b r))>
#<alt (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))>
#<alt (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (* a r)>
#<alt (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))>
#<alt (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))>
#<alt (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<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 (* a b)>
#<alt (* b (+ a (* -1/6 (* a (pow b 2)))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt 1>
#<alt (+ 1 (* -1 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
Calls

141 calls:

TimeVariablePointExpression
11.0ms
b
@0
(* (sin b) a)
8.0ms
b
@inf
(* r b)
7.0ms
a
@0
(/ (* r (sin a)) (pow (cos a) 2))
4.0ms
b
@0
(/ (* r b) (cos a))
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))

simplify341.0ms (2.7%)

Memory
7.4MiB live, 671.5MiB allocated
Algorithm
egg-herbie
Rules
7 858×lower-*.f64
7 858×lower-*.f32
7 068×lower-fma.f64
7 068×lower-fma.f32
2 558×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04356735
114166539
245406488
082466221
Stop Event
iter limit
node limit
Counts
564 → 556
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
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1
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a
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b
(* b (+ 1 (/ a b)))
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b
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a
(* a (+ 1 (/ b a)))
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a
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r
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(* a r)
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(* (sin a) (sin b))
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(* (sin a) (sin b))
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(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
1
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.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 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (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 (sin.f64 a) (cos.f64 a)))) (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 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 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 a (neg.f64 (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)))) (fma.f64 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 (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (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)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #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 (-.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (sin.f64 b)) (cos.f64 b))
(- (* (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)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.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 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 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.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 r (cos.f64 a))))
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(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* a r)
(*.f64 r a)
(* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/6 binary64)) r))
(* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/3 binary64) (*.f64 r #s(literal 5/6 binary64)))) (*.f64 r #s(literal 5/6 binary64))) r))
(* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (-.f64 (fma.f64 r #s(literal -1/5040 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/3 binary64) (*.f64 r #s(literal 5/6 binary64))))) (fma.f64 r #s(literal -2/45 binary64) (*.f64 r #s(literal 5/18 binary64)))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/3 binary64) (*.f64 r #s(literal 5/6 binary64)))))) (*.f64 r #s(literal 5/6 binary64))) r))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* 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))
(* a b)
(*.f64 b a)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 a #s(literal -1/6 binary64))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 a #s(literal -1/6 binary64))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 b (*.f64 b a)))) (*.f64 a #s(literal -1/6 binary64))) a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow a 2)))
(-.f64 #s(literal 1 binary64) (*.f64 a a))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))

rewrite463.0ms (3.7%)

Memory
39.8MiB live, 793.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 076×lower-*.f32
5 062×lower-*.f64
4 964×lower-/.f32
4 952×lower-/.f64
4 030×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037194
063178
1230178
21490170
08989170
Stop Event
iter limit
node limit
iter limit
Counts
21 → 803
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(cos.f64 a)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
#s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.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))))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) a)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (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 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)))) (/.f64 (*.f64 r (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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
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(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (/.f64 (/.f64 (cos.f64 a) (*.f64 r b)) #s(literal 1 binary64)) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) b))) (*.f64 (/.f64 (/.f64 (cos.f64 a) (*.f64 r b)) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (neg.f64 (/.f64 (cos.f64 a) (*.f64 r b))) (*.f64 b (*.f64 b (*.f64 r (sin.f64 a)))))) (*.f64 (neg.f64 (/.f64 (cos.f64 a) (*.f64 r b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (neg.f64 (/.f64 (cos.f64 a) (*.f64 r b))) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) b))) (*.f64 (neg.f64 (/.f64 (cos.f64 a) (*.f64 r b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (fma.f64 (*.f64 r (neg.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (neg.f64 (cos.f64 a)) (*.f64 b (*.f64 b (*.f64 r (sin.f64 a)))))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 r (neg.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (neg.f64 (cos.f64 a)) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) b))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64))))
(/.f64 (fma.f64 (neg.f64 (*.f64 r (neg.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 a))) (*.f64 b (*.f64 b (*.f64 r (sin.f64 a)))))) (*.f64 (neg.f64 (neg.f64 (cos.f64 a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 r (neg.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 a))) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) b))) (*.f64 (neg.f64 (neg.f64 (cos.f64 a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b (*.f64 b (*.f64 r (sin.f64 a)))))) (*.f64 (/.f64 (cos.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (fma.f64 (*.f64 b #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) b))) (*.f64 (/.f64 (cos.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (fma.f64 (*.f64 (*.f64 r b) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b (*.f64 r (sin.f64 a)))))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 r b) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) b))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 b (*.f64 b (*.f64 r (sin.f64 a)))))) (*.f64 (/.f64 (cos.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (/.f64 (cos.f64 a) r) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) b))) (*.f64 (/.f64 (cos.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b)) (*.f64 r (/.f64 b (cos.f64 a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b)) (*.f64 r (/.f64 b (cos.f64 a))))))
(/.f64 (neg.f64 (*.f64 b (+.f64 (pow.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) (/.f64 r (cos.f64 a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))))
(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) #s(literal 2 binary64)) (/.f64 (*.f64 r r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) (/.f64 r (cos.f64 a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 3 binary64))) b)) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 b (*.f64 r (sin.f64 a))) (/.f64 r (cos.f64 a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) #s(literal 2 binary64)) (/.f64 (*.f64 r r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) b)) (neg.f64 (-.f64 (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)) (/.f64 r (cos.f64 a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 r (/.f64 b (cos.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b))))))
(*.f64 b (fma.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a) (/.f64 r (cos.f64 a))))
(*.f64 (fma.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a) (/.f64 r (cos.f64 a))) b)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (*.f64 (tan.f64 a) (/.f64 r (neg.f64 (cos.f64 a)))))
(neg.f64 (*.f64 (tan.f64 a) (/.f64 r (neg.f64 (cos.f64 a)))))
(neg.f64 (*.f64 (tan.f64 a) (/.f64 (neg.f64 r) (cos.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a))))))
(/.f64 (*.f64 r (sin.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 a))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 a)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))
(/.f64 (/.f64 (*.f64 r (sin.f64 a)) (cos.f64 a)) (cos.f64 a))
(/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 a))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 a)) (cos.f64 a))) (neg.f64 (cos.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (tan.f64 a) (cos.f64 a)))
(*.f64 (sin.f64 a) (*.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))
(*.f64 (sin.f64 a) (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)))
(*.f64 (*.f64 r (sin.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(*.f64 (/.f64 r (cos.f64 a)) (tan.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) (pow.f64 (/.f64 (cos.f64 a) (sin.f64 a)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 r (sin.f64 a))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 r (sin.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 a)) (cos.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 (cos.f64 a) (*.f64 r (sin.f64 a))) #s(literal -1 binary64)))
(*.f64 (/.f64 (tan.f64 a) (cos.f64 a)) r)
(*.f64 (tan.f64 a) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (*.f64 r (sin.f64 a)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 (/.f64 r (neg.f64 (cos.f64 a))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 a)) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))
(*.f64 (pow.f64 (/.f64 (cos.f64 a) (sin.f64 a)) #s(literal -1 binary64)) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (tan.f64 a) (cos.f64 a)))
(*.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (/.f64 r (neg.f64 (cos.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 a)) (neg.f64 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) (/.f64 (neg.f64 r) (cos.f64 a)))
(*.f64 (/.f64 (sin.f64 a) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 a)) #s(literal -1 binary64)) (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 b) a)
(*.f64 a (sin.f64 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 a))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 a)) (log.f64 (cos.f64 a))))
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))) (*.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 a a)))))))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (cos.f64 a)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 a))
(*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 a)))

eval252.0ms (2%)

Memory
-10.2MiB live, 497.5MiB allocated
Compiler

Compiled 34 866 to 2 849 computations (91.8% saved)

prune240.0ms (1.9%)

Memory
-3.6MiB live, 544.6MiB allocated
Pruning

69 alts after pruning (66 fresh and 3 done)

PrunedKeptTotal
New1 473511 524
Fresh131528
Picked325
Done011
Total1 489691 558
Accuracy
99.9%
Counts
1 558 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 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))))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 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)))))
51.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
64.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
56.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
61.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
98.7%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.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 (cos.f64 b) (*.f64 (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
98.7%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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))))))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
49.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))
50.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
51.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
47.8%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
48.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
34.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
48.4%
(/.f64 #s(approx (* r (sin b)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
47.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
73.3%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
72.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
48.5%
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 r (sin.f64 b)))
53.6%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
98.7%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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))))))
98.7%
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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))))))))
73.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
73.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
57.8%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
73.3%
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
73.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
73.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 r (sin.f64 b)))
98.8%
(*.f64 (/.f64 #s(literal 1 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)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))
47.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
48.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
46.2%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (*.f64 r (sin.f64 b)))
60.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (*.f64 r (sin.f64 b)))
51.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
73.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (*.f64 r (sin.f64 b)))
73.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
73.3%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
38.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
48.2%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
33.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
47.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)))))
47.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
34.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
30.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
35.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
32.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
34.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
Compiler

Compiled 2 814 to 1 708 computations (39.3% saved)

simplify392.0ms (3.1%)

Memory
-30.8MiB live, 483.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6336
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
cost-diff0
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)
cost-diff0
#s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))
cost-diff0
(*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))
cost-diff0
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r b)
cost-diff0
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
cost-diff0
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6336
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Rules
12 842×lower-fma.f32
12 836×lower-fma.f64
2 404×lower-*.f32
2 388×lower-*.f64
2 126×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045281
076277
1126277
2185273
3279273
4430273
5781273
61364273
72275273
84189267
95453267
106056267
116498267
126688267
136882267
147912267
08315263
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))
r
#s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)
(*.f64 b b)
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a 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) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
a
(*.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 b a)))
(*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))
r
#s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)
(*.f64 b b)
b
(*.f64 b #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (sin.f64 b)) (sin.f64 a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
a
(*.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)

localize269.0ms (2.1%)

Memory
25.0MiB live, 340.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
accuracy50.2%
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
accuracy99.1%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
accuracy73.5%
(cos.f64 (+.f64 b a))
accuracy99.5%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
accuracy99.4%
(*.f64 b #s(literal -1/6 binary64))
accuracy73.5%
(cos.f64 (+.f64 a b))
accuracy48.3%
#s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))
accuracy100.0%
(*.f64 r b)
accuracy64.4%
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
accuracy48.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Samples
170.0ms178×1valid
23.0ms78×0valid
Compiler

Compiled 224 to 37 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 47.0ms (29.8% of total)
ival-div: 33.0ms (21% of total)
ival-cos: 32.0ms (20.3% of total)
ival-sin: 14.0ms (8.9% of total)
adjust: 11.0ms (7% of total)
ival-add: 9.0ms (5.7% of total)
const: 7.0ms (4.4% of total)
ival-sub: 2.0ms (1.3% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
-11.4MiB live, 30.3MiB allocated
Counts
22 → 540
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))>
#<alt #s(approx (/ (* r b) (cos a)) (*.f64 r b))>
#<alt (*.f64 r b)>
#<alt (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))>
#<alt #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))>
#<alt (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
#<alt (cos.f64 (+.f64 a b))>
#<alt (*.f64 b #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))>
#<alt #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
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#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt 1>
#<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)>
Calls

135 calls:

TimeVariablePointExpression
5.0ms
b
@0
(/ 1 (* r (sin b)))
0.0ms
b
@inf
(/ 1 (* r (sin b)))
0.0ms
b
@-inf
(/ 1 (* r (sin b)))
0.0ms
b
@inf
(+ (* (* b b) (* b -1/6)) b)
0.0ms
r
@0
(/ 1 (* r (sin b)))

simplify315.0ms (2.5%)

Memory
9.4MiB live, 562.2MiB allocated
Algorithm
egg-herbie
Rules
8 552×lower-fma.f64
8 552×lower-fma.f32
7 306×lower-*.f64
7 306×lower-*.f32
3 184×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03546056
111165853
236365808
081705609
Stop Event
iter limit
node limit
Counts
540 → 531
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a 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)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* -1/6 (pow b 3))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(* -1/6 (pow b 3))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* 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 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)))
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
1
(+ 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)
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 (*.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 (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)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (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 (*.f64 r a) (/.f64 (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 (- (* -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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (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 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 a (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (cos.f64 b)) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
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(-.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 b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #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 (-.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 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)))
(-.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 b (*.f64 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 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a 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))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #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 (-.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 b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(/ 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)))
(/ 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)))
(/ 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)))
(/ 1 (* b r))
(/.f64 #s(literal 1 binary64) (*.f64 r b))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) r)) b) b (/.f64 #s(literal 1 binary64) 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)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (/.f64 (*.f64 b b) r) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) r)) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) 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)))
(/ 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)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)

rewrite357.0ms (2.8%)

Memory
13.0MiB live, 725.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 962×lower-/.f32
4 950×lower-/.f64
4 516×lower-fma.f32
4 510×lower-fma.f64
4 302×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045210
076192
1252188
21581188
08570184
Stop Event
iter limit
node limit
iter limit
Counts
22 → 851
Calls
Call 1
Inputs
(/.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))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))
#s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) (sin.f64 a))
(cos.f64 (+.f64 a b))
(*.f64 b #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.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)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) (/.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 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.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) (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) (/.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 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))))
(/.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 (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) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (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 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
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(*.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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(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 b a)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
(*.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(*.f64 b #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) b)
(exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) (neg.f64 (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r))) (neg.f64 (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 r))
(pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)))
#s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))

eval207.0ms (1.7%)

Memory
2.9MiB live, 406.3MiB allocated
Compiler

Compiled 41 632 to 2 458 computations (94.1% saved)

prune242.0ms (1.9%)

Memory
-9.7MiB live, 525.3MiB allocated
Pruning

90 alts after pruning (85 fresh and 5 done)

PrunedKeptTotal
New1 543401 583
Fresh164561
Picked325
Done033
Total1 562901 652
Accuracy
100.0%
Counts
1 652 → 90
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
99.2%
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
89.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
69.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
43.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
32.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
72.7%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
41.3%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))))
47.9%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
41.3%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))))
48.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
51.3%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
99.3%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
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))))
56.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 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)))))
51.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
56.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
61.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
30.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))))
89.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))))
98.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
90.0%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.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 b) (sin.f64 a))))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
98.7%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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))))))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
49.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
50.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b)))
51.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
48.8%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (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))))
47.9%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
47.9%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
34.6%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
47.7%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
34.2%
(/.f64 (*.f64 r #s(approx (sin b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/36 binary64) (neg.f64 (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (neg.f64 b))))) (cos.f64 (+.f64 a b)))
26.7%
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
48.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
34.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
48.4%
(/.f64 #s(approx (* r (sin b)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
47.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
73.3%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
72.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
72.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
48.5%
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 r (sin.f64 b)))
53.6%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
73.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 r #s(literal 1 binary64)))
73.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
73.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
57.8%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
73.3%
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
73.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 r (sin.f64 b)))
98.8%
(*.f64 (/.f64 #s(literal 1 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)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))
47.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
48.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
46.2%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (*.f64 r (sin.f64 b)))
60.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (*.f64 r (sin.f64 b)))
51.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
73.1%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
73.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (*.f64 r (sin.f64 b)))
73.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
73.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
29.0%
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))))
38.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
48.2%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
33.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
47.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)))))
47.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
34.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
30.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
35.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
32.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
34.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
Compiler

Compiled 3 797 to 2 322 computations (38.8% saved)

simplify174.0ms (1.4%)

Memory
-12.0MiB live, 227.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) 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 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 b))
cost-diff256
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
cost-diff1280
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
cost-diff1280
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff384
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
cost-diff0
(fma.f64 b (*.f64 b a) b)
cost-diff0
(*.f64 r (fma.f64 b (*.f64 b a) b))
cost-diff0
#s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b)))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
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 a) (cos.f64 b))))
Rules
3 840×lower-fma.f32
3 830×lower-fma.f64
3 304×lower-*.f32
3 288×lower-*.f64
1 806×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060409
0101398
1182396
2334390
3647385
41189385
52658385
65584385
08069377
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 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b)))
(*.f64 r (fma.f64 b (*.f64 b a) b))
r
(fma.f64 b (*.f64 b a) b)
b
(*.f64 b a)
a
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.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 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
#s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r))
#s(literal 1/6 binary64)
(/.f64 (*.f64 b b) r)
(*.f64 b b)
r
(/.f64 #s(literal 1 binary64) r)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.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)))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
#s(literal 1 binary64)
(sin.f64 b)
b
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) r)
r
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) 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 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))
(*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
#s(literal -1/6 binary64)
(*.f64 b b)
(sin.f64 a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b)))
(*.f64 r (fma.f64 b (*.f64 b a) b))
r
(fma.f64 b (*.f64 b a) b)
b
(*.f64 b a)
a
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.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) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64))) b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
#s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))
#s(approx (/ 1 (* r (sin b))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64))) b))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64))) b)
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) r) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(literal 1/6 binary64)
(/.f64 (*.f64 b b) r)
(*.f64 b b)
r
(/.f64 #s(literal 1 binary64) r)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 (neg.f64 b))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
#s(literal 1 binary64)
(sin.f64 b)
b
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) r)
r
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))
(fma.f64 #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))
(*.f64 #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)) (neg.f64 (sin.f64 a)))
(*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))
(*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)))
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
#s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b)
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 b b)
(sin.f64 a)

localize458.0ms (3.7%)

Memory
-11.9MiB live, 267.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
accuracy48.3%
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
accuracy99.6%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
accuracy99.5%
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
accuracy73.5%
(cos.f64 (+.f64 b a))
accuracy88.8%
(/.f64 (*.f64 b b) r)
accuracy88.1%
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
accuracy73.5%
(cos.f64 (+.f64 b a))
accuracy49.2%
#s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))
accuracy99.9%
(fma.f64 b (*.f64 b a) b)
accuracy92.9%
(*.f64 r (fma.f64 b (*.f64 b a) b))
accuracy63.2%
#s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b)))
accuracy48.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
accuracy99.9%
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
303.0ms177×1valid
34.0ms79×0valid
Compiler

Compiled 312 to 58 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-mult: 62.0ms (21% of total)
ival-cos: 60.0ms (20.3% of total)
ival-add: 55.0ms (18.6% of total)
ival-sin: 41.0ms (13.9% of total)
ival-div: 38.0ms (12.8% of total)
adjust: 15.0ms (5.1% of total)
ival-pow2: 12.0ms (4.1% of total)
const: 10.0ms (3.4% of total)
ival-neg: 3.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory
0.0MiB live, 38.3MiB allocated
Counts
25 → 636
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))>
#<alt #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b)))>
#<alt (*.f64 r (fma.f64 b (*.f64 b a) b))>
#<alt (fma.f64 b (*.f64 b a) b)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))>
#<alt (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))>
#<alt (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 b))>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))>
#<alt (*.f64 (cos.f64 a) (cos.f64 b))>
#<alt #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))>
#<alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)>
#<alt (/.f64 (*.f64 b b) r)>
#<alt #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 b b))>
#<alt (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))>
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 (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (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))))>
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#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) b)>
#<alt (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)>
#<alt (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)>
#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (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 (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 (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* r (sin b)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (* 1/6 (/ b r))>
#<alt (* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))>
#<alt (* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))>
#<alt (* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))>
#<alt (* 1/6 (/ b r))>
#<alt (* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))>
#<alt (* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))>
#<alt (* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) (* b r))>
#<alt (* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))>
#<alt (* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))>
#<alt (* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))>
#<alt (* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<alt (/ (pow b 2) r)>
#<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 (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* -1/6 (pow b 2))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
Calls

159 calls:

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

simplify460.0ms (3.7%)

Memory
19.6MiB live, 254.0MiB allocated
Algorithm
egg-herbie
Rules
9 984×lower-fma.f64
9 984×lower-fma.f32
8 102×lower-*.f64
8 102×lower-*.f32
1 970×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05407874
117697538
257007467
089027158
Stop Event
iter limit
node limit
Counts
636 → 632
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)))))
(* 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))))
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(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ 1 b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(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))
(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))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(* 1/6 (/ b r))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(* 1/6 (/ b r))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
(/ (pow b 2) r)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* -1/6 (pow b 2))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 (neg 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 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.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 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (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 (cos.f64 a)) #s(literal 1/2 binary64)))) (cos.f64 a)))) (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 (neg 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 (neg 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 (neg 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 (neg 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 (* -1 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 (* -1 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 (* -1 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 (* -1 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))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 r a) (/.f64 (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 (- (* -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 (*.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 (/ (* (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 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (fma.f64 r (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (*.f64 (sin.f64 b) (/.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (cos.f64 b)))) (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 (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(/ 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)))
(/ 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)))
(/ 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)))
(/ 1 (* b r))
(/.f64 #s(literal 1 binary64) (*.f64 r b))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) r)) b) b (/.f64 #s(literal 1 binary64) 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)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 31/15120 binary64) r) (/.f64 #s(literal 7/360 binary64) r)) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) 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)))
(/ 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)))
(/ 1 (* b r))
(/.f64 #s(literal 1 binary64) (*.f64 r b))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(* 1/6 (/ b r))
(/.f64 (*.f64 b #s(literal 1/6 binary64)) r)
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(fma.f64 b (/.f64 #s(literal 1/6 binary64) r) (/.f64 b (*.f64 r (*.f64 b b))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(fma.f64 b (/.f64 #s(literal 1/6 binary64) r) (/.f64 b (*.f64 r (*.f64 b b))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(fma.f64 b (/.f64 #s(literal 1/6 binary64) r) (/.f64 b (*.f64 r (*.f64 b b))))
(* 1/6 (/ b r))
(/.f64 (*.f64 b #s(literal 1/6 binary64)) r)
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(fma.f64 b (/.f64 #s(literal 1/6 binary64) r) (/.f64 b (*.f64 r (*.f64 b b))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(fma.f64 b (/.f64 #s(literal 1/6 binary64) r) (/.f64 b (*.f64 r (*.f64 b b))))
(* b (+ (* 1/6 (/ 1 r)) (/ 1 (* (pow b 2) r))))
(fma.f64 b (/.f64 #s(literal 1/6 binary64) r) (/.f64 b (*.f64 r (*.f64 b b))))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(/ (+ 1 (* 1/6 (pow b 2))) (* b r))
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b)))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b)))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b)))
(* -1 (/ (- (* -1/6 (pow b 2)) 1) (* b r)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b)))
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
(/ (pow b 2) r)
(/.f64 (*.f64 b b) r)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (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 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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)
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* -1/6 (pow b 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 b (*.f64 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 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a 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))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))

rewrite547.0ms (4.4%)

Memory
18.0MiB live, 415.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 256×lower-*.f32
5 240×lower-*.f64
4 334×lower-/.f32
4 312×lower-/.f64
3 542×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060310
0101314
1396278
22832274
09255268
Stop Event
iter limit
node limit
iter limit
Counts
25 → 648
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b)))
(*.f64 r (fma.f64 b (*.f64 b a) b))
(fma.f64 b (*.f64 b a) b)
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))
(*.f64 (cos.f64 a) (cos.f64 b))
#s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/.f64 (*.f64 b b) r)
#s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
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(pow.f64 (/.f64 (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 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))) (*.f64 (cos.f64 a) (cos.f64 b))))) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))) (-.f64 (*.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 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 a 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 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 (-.f64 (*.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 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -1 binary64))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) (neg.f64 b)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) (neg.f64 b))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r r)))) (*.f64 b (fma.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 (*.f64 b b) r) (/.f64 (*.f64 b b) r)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 r r)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r r)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 (*.f64 b b) r) (/.f64 (*.f64 b b) r)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 r r))) b))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r) b))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) #s(literal 1 binary64)) b)
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r r)))) (/.f64 #s(literal 1 binary64) b)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 (*.f64 b b) r) (/.f64 (*.f64 b b) r)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 r r))))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r))
(/.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) #s(literal -1 binary64)) b)
(pow.f64 (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (fma.f64 #s(literal 1/216 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r r))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 (*.f64 b b) r) (/.f64 (*.f64 b b) r)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 r r)))))
(*.f64 (pow.f64 (/.f64 b (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
(exp.f64 (*.f64 (log.f64 (/.f64 r (*.f64 b b))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (neg.f64 (log.f64 r))))
(exp.f64 (+.f64 (neg.f64 (log.f64 r)) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 b b) (neg.f64 r)))
(neg.f64 (/.f64 (neg.f64 (*.f64 b b)) r))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 (*.f64 b b) r)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 r (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 b b)) (neg.f64 r))
(/.f64 (neg.f64 (neg.f64 (*.f64 b b))) (neg.f64 (neg.f64 r)))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) r)
(/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))
(pow.f64 (/.f64 r (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 r (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 b r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) r))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal -1 binary64) r))
(*.f64 (/.f64 b r) b)
(*.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r))
#s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))
(*.f64 b (*.f64 b #s(literal -1/6 binary64)))
(*.f64 (*.f64 b b) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal -1/6 binary64)) b)
(*.f64 (sin.f64 a) #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)))
(*.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (sin.f64 a))

eval519.0ms (4.1%)

Memory
18.4MiB live, 402.8MiB allocated
Compiler

Compiled 34 344 to 2 491 computations (92.7% saved)

prune277.0ms (2.2%)

Memory
-20.5MiB live, 711.3MiB allocated
Pruning

109 alts after pruning (103 fresh and 6 done)

PrunedKeptTotal
New1 416481 464
Fresh255580
Picked415
Done055
Total1 4451091 554
Accuracy
100.0%
Counts
1 554 → 109
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
42.8%
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
99.2%
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
73.2%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
73.3%
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
89.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
69.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
32.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
41.3%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))))
48.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)))
32.4%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))))
48.6%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
4.4%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
48.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
48.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
4.7%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
48.8%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
48.8%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
35.4%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
51.3%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
48.4%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
99.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
56.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
61.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
53.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
78.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 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)))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
56.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
89.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))))
98.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
98.7%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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))))))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b)))
51.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos 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)))))
47.9%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
34.6%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
47.7%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
26.7%
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
73.2%
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))))
73.3%
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r)))
48.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
34.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
48.4%
(/.f64 #s(approx (* r (sin b)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
47.6%
(/.f64 #s(approx (* r (sin b)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
49.0%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
47.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
73.3%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
72.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))))
36.4%
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
72.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
48.5%
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 r (sin.f64 b)))
53.6%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
98.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))
73.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
57.8%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
73.3%
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
73.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 r (sin.f64 b)))
36.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
47.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
48.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
46.2%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (*.f64 r (sin.f64 b)))
60.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (*.f64 r (sin.f64 b)))
51.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
38.5%
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
28.6%
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
99.2%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) r)))
98.6%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (/.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (/.f64 #s(literal 1 binary64) r)))
98.7%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 #s(literal 1 binary64) r)))
60.2%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)))
51.7%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r)))
73.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
23.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
60.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(approx (/ (/ -1 (cos (+ b a))) (/ 1 r)) (neg.f64 (/.f64 r (cos.f64 b)))))
51.8%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(approx (/ (/ -1 (cos (+ b a))) (/ 1 r)) (neg.f64 (/.f64 r (cos.f64 a)))))
49.0%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
73.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
73.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
47.7%
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
38.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
48.2%
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
48.2%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
33.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
47.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
48.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
48.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)))))
47.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
30.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
35.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
15.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
24.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
25.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
13.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
24.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
13.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
Compiler

Compiled 5 790 to 2 069 computations (64.3% saved)

regimes198.0ms (1.6%)

Memory
15.1MiB live, 492.4MiB allocated
Counts
173 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/36 binary64) (neg.f64 (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (neg.f64 b))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (*.f64 r (sin.f64 b)))
(*.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 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.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 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(approx (/ (/ -1 (cos (+ b a))) (/ 1 r)) (neg.f64 (/.f64 r (cos.f64 a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(approx (/ (/ -1 (cos (+ b a))) (/ 1 r)) (neg.f64 (/.f64 r (cos.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 r #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
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(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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)) (pow.f64 (neg.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.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 (cos.f64 b) (*.f64 (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (/.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.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 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Calls

4 calls:

49.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
47.0ms
a
47.0ms
r
46.0ms
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)

regimes179.0ms (1.4%)

Memory
-23.2MiB live, 418.2MiB allocated
Counts
150 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/36 binary64) (neg.f64 (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (neg.f64 b))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (*.f64 r (sin.f64 b)))
(*.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 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.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 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(approx (/ (/ -1 (cos (+ b a))) (/ 1 r)) (neg.f64 (/.f64 r (cos.f64 a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(approx (/ (/ -1 (cos (+ b a))) (/ 1 r)) (neg.f64 (/.f64 r (cos.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (*.f64 r (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 r #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos 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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r (*.f64 (*.f64 r (/.f64 b (cos.f64 a))) (tan.f64 a)))))
(/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(approx (* r (sin b)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 r (sin.f64 b)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (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 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

44.0ms
a
43.0ms
b
41.0ms
r
40.0ms
(/.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)

regimes178.0ms (1.4%)

Memory
20.3MiB live, 414.8MiB allocated
Counts
148 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
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(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
Calls

4 calls:

44.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
43.0ms
r
42.0ms
b
42.0ms
a
Results
AccuracySegmentsBranch
73.4%1r
73.4%1a
73.4%1b
73.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes69.0ms (0.6%)

Memory
8.9MiB live, 210.8MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/36 binary64) (neg.f64 (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (neg.f64 b))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

4 calls:

19.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
16.0ms
r
16.0ms
a
15.0ms
b
Results
AccuracySegmentsBranch
73.4%1b
73.4%1a
73.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
73.4%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes66.0ms (0.5%)

Memory
-30.5MiB live, 171.0MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/36 binary64) (neg.f64 (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (neg.f64 b))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
Calls

4 calls:

16.0ms
b
16.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
15.0ms
a
15.0ms
r
Results
AccuracySegmentsBranch
60.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
72.8%3a
73.5%3b
60.3%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.5%)

Memory
-4.6MiB live, 154.7MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/36 binary64) (neg.f64 (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (neg.f64 b))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Calls

4 calls:

14.0ms
b
14.0ms
a
14.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.0ms
r
Results
AccuracySegmentsBranch
51.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
51.8%1r
51.8%1a
51.8%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes62.0ms (0.5%)

Memory
-12.0MiB live, 158.0MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/36 binary64) (neg.f64 (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (neg.f64 b))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 r r)) (*.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
Calls

4 calls:

14.0ms
r
14.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.0ms
b
13.0ms
a
Results
AccuracySegmentsBranch
49.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
49.0%1a
49.0%1b
49.0%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes53.0ms (0.4%)

Memory
29.5MiB live, 147.0MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
Calls

4 calls:

13.0ms
r
13.0ms
a
13.0ms
b
12.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
48.6%1b
48.6%1r
48.6%1a
48.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes52.0ms (0.4%)

Memory
8.4MiB live, 128.0MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ 1 (* r (sin b))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) r r) (*.f64 r r)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
Calls

4 calls:

13.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms
a
12.0ms
b
11.0ms
r
Results
AccuracySegmentsBranch
48.6%1r
48.6%1a
48.6%1b
48.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes49.0ms (0.4%)

Memory
-21.9MiB live, 97.0MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (+ (* (* b b) (* b -1/6)) b) (*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 r (neg.f64 b))))))
(*.f64 #s(approx (/ -1 (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) r)) b)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
Calls

4 calls:

13.0ms
b
11.0ms
r
11.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
10.0ms
a
Results
AccuracySegmentsBranch
48.5%1r
48.5%1a
48.5%1b
48.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes40.0ms (0.3%)

Memory
24.0MiB live, 102.9MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (* r (sin b)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (*.f64 b #s(literal 1/6 binary64)) r))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (* r (sin b)) (*.f64 r b))))
Outputs
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
Calls

4 calls:

10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
10.0ms
b
9.0ms
r
9.0ms
a
Results
AccuracySegmentsBranch
48.4%1a
48.4%1b
48.4%1r
48.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.2%)

Memory
-21.4MiB live, 59.4MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (/ 1 (cos (+ b a))) (/ 1 (* r (sin b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

4 calls:

7.0ms
a
6.0ms
b
6.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
6.0ms
r
Results
AccuracySegmentsBranch
48.2%1r
48.2%1b
48.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
48.2%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes21.0ms (0.2%)

Memory
10.2MiB live, 49.6MiB allocated
Accuracy

Total -21.3b remaining (-51.3%)

Threshold costs -21.3b (-51.3%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 a (*.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r #s(approx (+ (* b (* b a)) b) (*.f64 b (*.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 b (*.f64 b a) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b #s(approx (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* b (* b a)) b)) (*.f64 (*.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 a (fma.f64 r (*.f64 b b) (*.f64 a (*.f64 r (*.f64 b #s(literal 1/2 binary64))))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (*.f64 r (*.f64 (*.f64 (fma.f64 b (*.f64 b a) b) (fma.f64 b (*.f64 b a) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b a) (neg.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (*.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 r b) (*.f64 r b))) (-.f64 (*.f64 r (*.f64 b (*.f64 b a))) (*.f64 r b)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Calls

4 calls:

5.0ms
b
5.0ms
r
5.0ms
a
5.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
35.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
35.1%1r
35.1%1b
35.1%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch49.0ms (0.4%)

Memory
-12.5MiB live, 109.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
0.003825992500207955
886.5578743940888
23.0ms
-250.19537382362105
-5.885125375897636e-15
Samples
24.0ms155×1valid
10.0ms149×0valid
Compiler

Compiled 585 to 394 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 8.0ms (33.4% of total)
ival-add: 5.0ms (20.9% of total)
ival-sin: 4.0ms (16.7% of total)
adjust: 3.0ms (12.5% of total)
ival-div: 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)

simplify10.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093290
1121290
2138290
3148290
4153290
5154290
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -5188146770730811/1152921504606846976 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 662929865148937/144115188075855872 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -5188146770730811/1152921504606846976 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 662929865148937/144115188075855872 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -5188146770730811/1152921504606846976 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 662929865148937/144115188075855872 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) (/.f64 #s(approx (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (neg.f64 r))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ 1 (* r (sin b))) #s(approx (/ (+ (* 1/6 (/ (* b b) r)) (/ 1 r)) b) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 r b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

soundness1.3s (10.6%)

Memory
-15.4MiB live, 1 086.2MiB allocated
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
9 984×lower-fma.f64
9 984×lower-fma.f32
8 552×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045210
076192
1252188
21581188
08570184
0167960
1517928
21595886
35409885
08292853
037194
063178
1230178
21490170
08989170
04356735
114166539
245406488
082466221
03546056
111165853
236365808
081705609
05407874
117697538
257007467
089027158
0819
01319
14419
223419
3205019
0844119
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 637 to 322 computations (49.5% saved)

preprocess83.0ms (0.7%)

Memory
34.2MiB live, 110.8MiB allocated
Remove

(negabs r)

Compiler

Compiled 668 to 310 computations (53.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...