rsin B (should all be same)

Time bar (total: 12.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze418.0ms (3.4%)

Memory
16.6MiB live, 435.3MiB 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)

sample2.8s (23.4%)

Memory
9.6MiB live, 2 088.9MiB allocated
Samples
2.3s5 863×1valid
219.0ms2 393×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 370.0ms (33.8% of total)
ival-cos: 300.0ms (27.4% of total)
adjust: 140.0ms (12.8% of total)
ival-add: 105.0ms (9.6% of total)
ival-mult: 99.0ms (9% of total)
ival-div: 69.0ms (6.3% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain139.0ms (1.1%)

Memory
-3.9MiB live, 200.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
69118(3.211663759162216e-271 3.398153748341824e+95 -3.6721920295496686e-216)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1870
Confusion
Predicted +Predicted -
+690
-11869
Precision
0.3689839572192513
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6900
-118069
Precision?
0.3689839572192513
Recall?
1.0
Freqs
test
numberfreq
069
1187
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms352×1valid
14.0ms160×0valid
Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 16.0ms (26.4% of total)
ival-cos: 16.0ms (26.4% of total)
ival-sin: 12.0ms (19.8% of total)
adjust: 6.0ms (9.9% of total)
ival-add: 5.0ms (8.2% of total)
ival-div: 4.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess105.0ms (0.9%)

Memory
2.8MiB live, 39.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03788
18984
217884
343184
4107984
5251084
6326884
7366484
8424484
9462084
10463284
11463684
12463684
13467684
14469284
15469284
089
0139
1179
2199
3219
4229
0229
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
2.8MiB live, 2.8MiB 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 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01328
11728
21928
32128
42228
02228
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a

localize45.0ms (0.4%)

Memory
11.9MiB live, 49.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 b)
accuracy0.16796875
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.28515625
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy15.10240379473532
(cos.f64 (+.f64 a b))
Samples
32.0ms176×1valid
6.0ms80×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 8.0ms (29.9% of total)
ival-sin: 7.0ms (26.1% of total)
ival-add: 3.0ms (11.2% of total)
adjust: 3.0ms (11.2% of total)
ival-mult: 3.0ms (11.2% of total)
ival-div: 2.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-16.0MiB live, 22.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1/6 (pow b 2)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify152.0ms (1.3%)

Memory
0.0MiB live, 154.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220601116
376911116
082711075
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(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))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a 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))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
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))))
(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))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (+ a b))
(cos (+ a b))
(cos (+ a 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))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.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 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a)) a))
(+ (* 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 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)
(* 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b)
(* 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))

rewrite178.0ms (1.5%)

Memory
32.2MiB live, 184.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
14422
223422
3198522
01021222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
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eval56.0ms (0.5%)

Memory
-12.2MiB live, 73.6MiB allocated
Compiler

Compiled 4 670 to 761 computations (83.7% saved)

prune34.0ms (0.3%)

Memory
-6.8MiB live, 70.9MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New22332255
Fresh000
Picked101
Done000
Total22432256
Accuracy
99.9%
Counts
256 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.2%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
76.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
76.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
75.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
75.8%
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
76.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
76.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
76.2%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
76.2%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
39.7%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
76.2%
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))))
76.2%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
76.2%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64)))))
54.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
57.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
55.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
58.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
53.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
76.2%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
76.2%
(*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
76.2%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
76.2%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
53.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
53.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
37.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
60.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Compiler

Compiled 940 to 726 computations (22.8% saved)

simplify197.0ms (1.6%)

Memory
9.8MiB live, 91.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
cost-diff6464
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
cost-diff0
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
cost-diff12928
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
cost-diff0
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
cost-diff0
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 b (cos.f64 a))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff320
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
cost-diff6016
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040292
070292
1104292
2152286
3232284
4370281
5505281
6762281
71161281
81948277
93592277
104697277
115116277
125484277
135863277
146010277
156917277
167506277
177752277
187816277
197928277
207940277
08018274
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
r
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
r
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
#s(literal -1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
r
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 b b)
b
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 b (cos.f64 a))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 r (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))
r
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
#s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
#s(literal -1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))
(*.f64 b b)
b
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 b (cos.f64 a))

localize290.0ms (2.4%)

Memory
3.1MiB live, 279.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.17578125
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
accuracy0.29916000976844204
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy4.272964341668935
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
accuracy29.91844801118547
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
accuracy0.1484375
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
accuracy0.16796875
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
accuracy0.33041000976844204
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
accuracy15.10240379473532
(cos.f64 (+.f64 a b))
accuracy0.16796875
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
accuracy0.28515625
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
accuracy15.10240379473532
(cos.f64 (+.f64 a b))
accuracy29.792607223148202
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
accuracy0
(cos.f64 a)
accuracy0.15234375
(/.f64 b (cos.f64 a))
accuracy0.16796875
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
accuracy29.76684950477761
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
accuracy0.11851503907376808
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy0.16796875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
accuracy0.171875
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy0.28515625
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Samples
208.0ms174×1valid
45.0ms82×0valid
Compiler

Compiled 494 to 72 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-pow: 67.0ms (34.8% of total)
ival-mult: 34.0ms (17.6% of total)
ival-cos: 25.0ms (13% of total)
ival-sin: 23.0ms (11.9% of total)
ival-div: 12.0ms (6.2% of total)
adjust: 11.0ms (5.7% of total)
ival-add: 7.0ms (3.6% of total)
const: 6.0ms (3.1% of total)
ival-pow2: 4.0ms (2.1% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series104.0ms (0.9%)

Memory
9.7MiB live, 121.4MiB allocated
Counts
23 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (patch #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) (patch (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (patch (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (cos a)) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (sin a))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
31.0ms
a
@inf
((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)))
8.0ms
b
@inf
((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)))
6.0ms
a
@-inf
((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)))
5.0ms
b
@-inf
((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)))
3.0ms
a
@0
((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)))

simplify222.0ms (1.8%)

Memory
18.4MiB live, 288.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04227407
113007031
241376940
086176692
Stop Event
iter limit
node limit
Counts
528 → 522
Calls
Call 1
Inputs
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (* 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)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
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)))
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (* r (sin b)) (cos b))
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(/ 1 (cos b))
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(cos b)
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b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
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(/ (* r (sin b)) (cos b))
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(/ (sin b) (cos b))
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(* -1 (* a (sin b)))
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(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
1
(+ 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)))
a
(* a (+ 1 (* 5/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (+ 5/6 (* 61/120 (pow a 2))))))
(* a (+ 1 (* (pow a 2) (+ 5/6 (* (pow a 2) (+ 61/120 (* 277/1008 (pow a 2))))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
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(/ (sin b) (cos (+ a b)))
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(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
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(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
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(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(* -1 (* (sin a) (sin b)))
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(* -1 (* (sin a) (sin b)))
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(pow (cos a) 2)
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(pow (cos a) 2)
(/ (sin a) (pow (cos a) 2))
(/ (sin a) (pow (cos a) 2))
(/ (sin a) (pow (cos a) 2))
(/ (sin a) (pow (cos a) 2))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ b (cos a))
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(* -1 (* (sin a) (sin b)))
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(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
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(/ (sin a) (pow (cos a) 2))
(/ (sin a) (pow (cos a) 2))
(/ (sin a) (pow (cos a) 2))
(/ b (cos a))
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(/ (* 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))))
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))))
(cos a)
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(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ 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))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
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(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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(* 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))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
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))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* -1/6 (pow b 2))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (* 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))))
(/ 1 (cos a))
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(cos a)
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(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(/ (* b r) (cos a))
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(* 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))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(sin b)
(sin b)
(sin b)
(sin b)
(* -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))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (* 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 b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* 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))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* 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))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(sin b)
(sin b)
(sin b)
(sin b)
(* -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)))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(/ (* 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))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
Outputs
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
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b
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b
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(/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(/ 1 (cos (- a (* -1 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 (*.f64 (sin.f64 a) b) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

rewrite425.0ms (3.5%)

Memory
-38.5MiB live, 274.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040237
070250
1220208
21387200
08531200
Stop Event
iter limit
node limit
iter limit
Counts
23 → 762
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(cos.f64 a)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
(cos.f64 (+.f64 a b))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(*.f64 b b)
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
Outputs
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eval234.0ms (1.9%)

Memory
28.9MiB live, 479.3MiB allocated
Compiler

Compiled 33 078 to 3 514 computations (89.4% saved)

prune170.0ms (1.4%)

Memory
-13.7MiB live, 366.0MiB allocated
Pruning

57 alts after pruning (55 fresh and 2 done)

PrunedKeptTotal
New1 484421 526
Fresh141327
Picked325
Done000
Total1 501571 558
Accuracy
100.0%
Counts
1 558 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
76.2%
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
76.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
75.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
75.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
76.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
76.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
76.2%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
76.2%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
53.4%
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
39.7%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.4%
(*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
49.1%
(*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
56.5%
(*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
76.2%
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
65.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
65.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
61.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
50.4%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))))
76.2%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
54.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
55.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
58.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
48.0%
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
60.2%
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
57.2%
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
37.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
53.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
53.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
53.1%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
76.2%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
99.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
76.2%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
53.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
53.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
36.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
37.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
53.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
53.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))))))
53.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
26.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))))
28.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
30.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
35.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
37.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
53.6%
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
60.3%
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
99.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Compiler

Compiled 1 751 to 1 335 computations (23.8% saved)

simplify217.0ms (1.8%)

Memory
-10.7MiB live, 142.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
cost-diff0
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))))
cost-diff0
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))
cost-diff0
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
cost-diff0
(fma.f64 (*.f64 b b) a b)
cost-diff0
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
cost-diff0
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058405
092385
1142385
2201385
3281385
4394379
5542379
6854379
71146379
81767379
93274379
104409379
115381379
125859379
136647379
147005379
157084379
08173376
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(sin.f64 a)
(neg.f64 (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(fma.f64 (*.f64 b b) a b)
(*.f64 b b)
b
a
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
r
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)
#s(literal -1/6 binary64)
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
a
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(sin.f64 a)
(neg.f64 (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(fma.f64 (*.f64 b b) a b)
(*.f64 b b)
b
a
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)))
r
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
#s(literal -1/6 binary64)
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
a

localize306.0ms (2.5%)

Memory
13.3MiB live, 369.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
accuracy0.171875
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy0.28515625
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
accuracy30.1414458930149
#s(approx (cos a) #s(literal 1 binary64))
accuracy0.28515625
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))
accuracy0.3698662409597484
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))
accuracy15.10240379473532
(cos.f64 (+.f64 a b))
accuracy29.792607223148202
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))))
accuracy0.00390625
(sin.f64 b)
accuracy0.16796875
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
accuracy0.28515625
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
accuracy27.47077608760112
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
accuracy0.16796875
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
accuracy5.444621504272362
(fma.f64 (*.f64 b b) a b)
accuracy28.754187955687023
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
accuracy29.91844801118547
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
accuracy0.11851503907376808
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
accuracy0.1484375
(*.f64 r (sin.f64 b))
accuracy0.171875
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
accuracy0.19921875
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
Samples
243.0ms176×1valid
26.0ms80×0valid
Compiler

Compiled 570 to 78 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
const: 46.0ms (22.8% of total)
ival-cos: 29.0ms (14.4% of total)
ival-mult: 28.0ms (13.9% of total)
ival-pow: 26.0ms (12.9% of total)
adjust: 21.0ms (10.4% of total)
ival-div: 19.0ms (9.4% of total)
ival-sin: 15.0ms (7.4% of total)
ival-add: 11.0ms (5.5% of total)
ival-pow2: 4.0ms (2% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series106.0ms (0.9%)

Memory
-15.9MiB live, 138.2MiB allocated
Counts
24 → 588
Calls
Call 1
Inputs
#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (patch #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #<representation binary64>) () ())
#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (* b r) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
11.0ms
r
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a)))
10.0ms
a
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a)))
4.0ms
b
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a)))
4.0ms
r
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a)))
4.0ms
b
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a)))

simplify238.0ms (2%)

Memory
5.9MiB live, 285.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04018978
112358462
238598374
081048090
Stop Event
iter limit
node limit
Counts
588 → 582
Calls
Call 1
Inputs
(/ (* 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 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 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
b
(+ b (* a (pow b 2)))
(+ b (* a (pow b 2)))
(+ b (* a (pow b 2)))
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(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))))
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)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* a (pow b 2))
(* a (+ (/ b a) (pow b 2)))
(* a (+ (/ b a) (pow b 2)))
(* a (+ (/ b a) (pow b 2)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos a)
(cos a)
(cos a)
(cos a)
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (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))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
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b
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b
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b
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b
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(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(/ (* 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))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ -6 (pow b 3))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow b 2)))) (pow b 3)))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow b 2))) (/ 216 (pow b 4)))) (pow b 3)))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow b 2))) (+ (* 1296 (/ 1 (pow b 6))) (/ 216 (pow b 4))))) (pow b 3)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* 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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* 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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* 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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.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 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
b
(+ b (* a (pow b 2)))
(fma.f64 (*.f64 b b) a b)
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b)
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b b)) a)) a (*.f64 b b)) a b)
b
(+ b (* a (pow b 2)))
(fma.f64 (*.f64 b b) a b)
(+ b (* a (pow b 2)))
(fma.f64 (*.f64 b b) a b)
(+ b (* a (pow b 2)))
(fma.f64 (*.f64 b b) a b)
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* 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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))

rewrite237.0ms (2%)

Memory
19.9MiB live, 296.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058349
092336
1316280
21846274
08910271
Stop Event
iter limit
node limit
iter limit
Counts
24 → 484
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(fma.f64 (*.f64 b b) a b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
Outputs
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eval203.0ms (1.7%)

Memory
28.2MiB live, 357.2MiB allocated
Compiler

Compiled 23 907 to 2 328 computations (90.3% saved)

prune256.0ms (2.1%)

Memory
-47.3MiB live, 384.7MiB allocated
Pruning

71 alts after pruning (66 fresh and 5 done)

PrunedKeptTotal
New1 095191 114
Fresh34750
Picked235
Done022
Total1 100711 171
Accuracy
100.0%
Counts
1 171 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
76.2%
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
61.3%
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
76.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
57.2%
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b)))
60.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r)))
75.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
75.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
56.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
76.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
76.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
57.2%
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
76.2%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
61.3%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
57.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
57.2%
(*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r))
76.2%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
53.4%
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
39.7%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.4%
(*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
49.1%
(*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
56.5%
(*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
76.2%
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
61.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
65.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
65.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
61.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
50.4%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))))
76.2%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
54.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
55.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
58.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
48.0%
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
60.2%
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
37.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
53.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
53.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
54.1%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
53.6%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
76.3%
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))))
76.2%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
99.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
76.2%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
57.3%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))))
53.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
53.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
36.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
37.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
53.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
53.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))))))
53.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
28.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
30.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
35.2%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
34.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
16.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
37.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
53.6%
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
60.3%
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
99.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
99.5%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
60.3%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
Compiler

Compiled 2 096 to 1 617 computations (22.9% saved)

simplify354.0ms (2.9%)

Memory
9.2MiB live, 117.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
cost-diff0
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
cost-diff0
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
cost-diff0
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060463
092459
1142459
2191459
3250459
4316453
5373453
6601453
71014453
81671453
93314453
104099453
114588453
124861453
135039453
145102453
155480453
165654453
175666453
185688453
195692453
205692453
215788453
225966453
236181453
246261453
256273453
266285453
276285453
286285453
06285446
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))
(cos.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
r
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 b b)
b
(/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))
(sin.f64 a)
a
#s(approx (pow (cos a) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 b (cos.f64 a))
(cos.f64 a)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(neg.f64 b)
(sin.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))
(cos.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 (/.f64 b #s(approx (pow (cos a) 2) #s(literal 1 binary64))) b) (sin.f64 a) (/.f64 b (cos.f64 a)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 (/.f64 b #s(approx (pow (cos a) 2) #s(literal 1 binary64))) b) (sin.f64 a) (/.f64 b (cos.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))
(fma.f64 (*.f64 (/.f64 b #s(approx (pow (cos a) 2) #s(literal 1 binary64))) b) (sin.f64 a) (/.f64 b (cos.f64 a)))
(*.f64 b b)
b
(/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))
(sin.f64 a)
a
#s(approx (pow (cos a) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 b (cos.f64 a))
(cos.f64 a)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(neg.f64 b)
(sin.f64 a)

localize391.0ms (3.2%)

Memory
1.7MiB live, 485.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 (neg.f64 b) (sin.f64 a))
accuracy0.16796875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
accuracy0.28515625
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))
accuracy29.55461342873536
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
accuracy0.17578125
(/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))
accuracy4.272964341668935
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))
accuracy27.199441668010696
#s(approx (pow (cos a) 2) #s(literal 1 binary64))
accuracy29.91844801118547
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))
accuracy0.00390625
(cos.f64 b)
accuracy0.1484375
(*.f64 r (sin.f64 b))
accuracy0.19921875
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
accuracy30.22598305599595
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))
accuracy7.712600102009226
(*.f64 (*.f64 b b) a)
accuracy28.754187955687023
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
accuracy29.91844801118547
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
accuracy31.430116564676524
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
accuracy0.0917650511575378
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.109375
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.16796875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
accuracy0.28515625
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
256.0ms176×1valid
24.0ms80×0valid
Compiler

Compiled 559 to 75 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-mult: 118.0ms (49.2% of total)
ival-div: 42.0ms (17.5% of total)
ival-cos: 25.0ms (10.4% of total)
ival-sin: 24.0ms (10% of total)
ival-add: 11.0ms (4.6% of total)
adjust: 11.0ms (4.6% of total)
ival-pow2: 4.0ms (1.7% of total)
ival-neg: 4.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory
17.6MiB live, 164.1MiB allocated
Counts
26 → 636
Calls
Call 1
Inputs
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) (patch #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) a) (patch (*.f64 (*.f64 b b) a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (patch #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (pow (cos a) 2) #s(literal 1 binary64)) (patch #s(approx (pow (cos a) 2) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) (patch #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 b) (sin.f64 a)) (patch (*.f64 (neg.f64 b) (sin.f64 a)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) (patch #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) (patch #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) (patch #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (pow b 2))) (taylor 0 a) (#s(alt #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) (patch #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
10.0ms
b
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a)))
9.0ms
r
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a)))
4.0ms
a
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a)))
4.0ms
a
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a)))
4.0ms
b
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a)))

simplify186.0ms (1.5%)

Memory
-31.9MiB live, 270.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04069297
113198785
241808689
084088385
Stop Event
iter limit
node limit
Counts
636 → 630
Calls
Call 1
Inputs
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ (* 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
b
(+ b (* a (pow b 2)))
(+ b (* a (pow b 2)))
(+ b (* a (pow b 2)))
(/ (* 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 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 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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(/ (* 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)))
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(cos b)
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1
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a
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(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* -1 (* a b))
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(/ b (cos a))
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(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
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(/ (* b r) (cos a))
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(/ b (cos a))
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(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ b (cos a))
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(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
b
(* b (+ 1 (* a b)))
(* b (+ 1 (* a b)))
(* b (+ 1 (* a b)))
(/ (* b r) (cos a))
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(/ (* b r) (cos a))
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(* 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))))
(* 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)))))))
(/ (* b r) (cos a))
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(/ b (cos a))
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(/ b (cos a))
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(pow b 2)
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(* 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))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(cos a)
(+ (cos 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)))))))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* a (pow b 2))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(cos b)
(cos b)
(cos b)
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* 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))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* a (pow b 2))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (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))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(cos b)
(cos b)
(cos b)
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(* -1 (* b (sin a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* 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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
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b
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))

rewrite241.0ms (2%)

Memory
46.5MiB live, 234.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060416
092412
1308363
21928357
08258350
Stop Event
iter limit
node limit
iter limit
Counts
26 → 363
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 b b)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (*.f64 b b) a)
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))
(cos.f64 b)
#s(approx (pow (cos a) 2) #s(literal 1 binary64))
(/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
(*.f64 (neg.f64 b) (sin.f64 a))
Outputs
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eval188.0ms (1.5%)

Memory
2.2MiB live, 245.0MiB allocated
Compiler

Compiled 21 980 to 2 182 computations (90.1% saved)

prune240.0ms (2%)

Memory
-18.9MiB live, 299.8MiB allocated
Pruning

73 alts after pruning (64 fresh and 9 done)

PrunedKeptTotal
New1 057181 075
Fresh154661
Picked145
Done055
Total1 073731 146
Accuracy
100.0%
Counts
1 146 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
76.2%
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
61.3%
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
76.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
57.2%
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b)))
60.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r)))
75.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
56.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
99.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
76.3%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
76.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
57.2%
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
76.2%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
65.2%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
61.3%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
57.3%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
57.2%
(*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r))
76.2%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
53.4%
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
39.7%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.4%
(*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
49.1%
(*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
56.5%
(*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
76.2%
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
61.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
58.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
65.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
61.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
54.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
50.4%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))))
76.2%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
55.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
58.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
60.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
48.0%
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
60.2%
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
53.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
54.1%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
53.6%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
76.2%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
99.4%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
76.2%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
57.3%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))))
53.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
53.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
36.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
37.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
53.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
53.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
28.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
30.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
35.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
34.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
16.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
16.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
8.2%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
53.6%
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
60.3%
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
99.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
60.3%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
38.1%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
41.8%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
37.9%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
59.9%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r))))
Compiler

Compiled 2 812 to 1 321 computations (53% saved)

regimes215.0ms (1.8%)

Memory
22.7MiB live, 294.7MiB allocated
Counts
112 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Calls

5 calls:

66.0ms
r
49.0ms
b
34.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
32.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
29.0ms
a
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes171.0ms (1.4%)

Memory
3.3MiB live, 282.8MiB allocated
Counts
96 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

5 calls:

49.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
33.0ms
r
31.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
27.0ms
a
26.0ms
b
Results
AccuracySegmentsBranch
76.3%1r
76.3%1a
76.3%1b
76.3%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
76.3%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes77.0ms (0.6%)

Memory
-6.3MiB live, 195.0MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
Outputs
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))))
Calls

5 calls:

23.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
15.0ms
r
14.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
12.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
76.3%1r
76.3%1a
76.3%1b
76.3%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
76.3%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes63.0ms (0.5%)

Memory
12.1MiB live, 162.5MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Calls

5 calls:

16.0ms
r
12.0ms
a
12.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
11.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
10.0ms
b
Results
AccuracySegmentsBranch
63.2%2r
76.4%3a
76.2%3b
76.2%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
63.5%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes13.0ms (0.1%)

Memory
8.3MiB live, 46.6MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Calls

1 calls:

11.0ms
a
Results
AccuracySegmentsBranch
76.4%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
0.3MiB live, 37.8MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
76.4%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes37.0ms (0.3%)

Memory
-20.7MiB live, 82.1MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
Calls

3 calls:

17.0ms
b
8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms
a
Results
AccuracySegmentsBranch
76.2%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
76.2%3b
74.7%3a
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes18.0ms (0.1%)

Memory
1.6MiB live, 40.4MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

2 calls:

8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms
b
Results
AccuracySegmentsBranch
76.1%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
76.1%3b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes42.0ms (0.3%)

Memory
-25.1MiB live, 97.3MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))
Calls

5 calls:

9.0ms
r
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
b
7.0ms
a
7.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
54.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
54.1%1r
54.1%1a
56.2%2(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
57.8%3b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes16.0ms (0.1%)

Memory
-0.2MiB live, 37.0MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
Calls

2 calls:

8.0ms
b
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
57.8%3b
57.7%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.1%)

Memory
-10.3MiB live, 26.8MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
Calls

2 calls:

6.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
b
Results
AccuracySegmentsBranch
57.7%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
57.7%3b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes26.0ms (0.2%)

Memory
3.3MiB live, 42.0MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
Calls

5 calls:

6.0ms
a
5.0ms
r
5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
b
5.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
41.8%1a
41.8%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
41.8%1r
41.8%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
41.8%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes26.0ms (0.2%)

Memory
3.4MiB live, 46.9MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
Calls

5 calls:

7.0ms
b
5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms
r
4.0ms
a
Results
AccuracySegmentsBranch
37.9%1b
37.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
37.9%1r
37.9%1a
37.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes23.0ms (0.2%)

Memory
-7.4MiB live, 31.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
Calls

5 calls:

4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
b
4.0ms
r
4.0ms
a
Results
AccuracySegmentsBranch
37.6%1b
37.6%1a
37.6%1r
37.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
37.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes14.0ms (0.1%)

Memory
9.2MiB live, 46.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
Calls

5 calls:

4.0ms
a
3.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
b
2.0ms
r
Results
AccuracySegmentsBranch
35.3%1a
35.3%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.3%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
35.3%1b
35.3%1r
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes10.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
Calls

5 calls:

2.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
a
2.0ms
r
2.0ms
b
Results
AccuracySegmentsBranch
35.2%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.2%1b
35.2%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
35.2%1a
35.2%1r
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes10.0ms (0.1%)

Memory
-18.8MiB live, 19.0MiB allocated
Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
Calls

5 calls:

3.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
b
2.0ms
r
1.0ms
a
Results
AccuracySegmentsBranch
16.6%1b
16.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
16.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
16.6%1a
16.6%1r
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch46.0ms (0.4%)

Memory
11.9MiB live, 55.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.10576655106659e-6
1.765191130211314e-5
29.0ms
-2.7509939828804884
-3.1949594243661205e-22
Samples
23.0ms126×1valid
9.0ms146×0valid
Compiler

Compiled 301 to 337 computations (-12% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 8.0ms (33.3% of total)
ival-sin: 6.0ms (25% of total)
ival-mult: 3.0ms (12.5% of total)
ival-add: 2.0ms (8.3% of total)
ival-div: 2.0ms (8.3% of total)
adjust: 2.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.10576655106659e-6
1.765191130211314e-5
1.0ms
-2.7509939828804884
-3.1949594243661205e-22
Compiler

Compiled 301 to 337 computations (-12% saved)

bsearch2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.10576655106659e-6
1.765191130211314e-5
1.0ms
-2.7509939828804884
-3.1949594243661205e-22
Compiler

Compiled 301 to 337 computations (-12% saved)

bsearch47.0ms (0.4%)

Memory
-1.0MiB live, 73.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
6.61773901056524e-11
3.0817880928631293e-7
24.0ms
-96300.8592939602
-3.6088594497592256e-7
Samples
20.0ms130×1valid
10.0ms158×0valid
Compiler

Compiled 300 to 338 computations (-12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 8.0ms (36.8% of total)
ival-sin: 3.0ms (13.8% of total)
ival-mult: 3.0ms (13.8% of total)
ival-add: 2.0ms (9.2% of total)
ival-div: 2.0ms (9.2% of total)
adjust: 2.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.61773901056524e-11
3.0817880928631293e-7
1.0ms
-96300.8592939602
-3.6088594497592256e-7
Compiler

Compiled 282 to 320 computations (-13.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.05254849906424767
-1.5213578967923177e-19
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch57.0ms (0.5%)

Memory
-21.6MiB live, 68.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
1.3421349459573904e+33
3.15305402390787e+34
27.0ms
-96300.8592939602
-3.6088594497592256e-7
Samples
36.0ms182×1valid
7.0ms74×0valid
Compiler

Compiled 437 to 422 computations (3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 9.0ms (26% of total)
ival-cos: 9.0ms (26% of total)
ival-add: 8.0ms (23.2% of total)
adjust: 3.0ms (8.7% of total)
ival-mult: 3.0ms (8.7% of total)
ival-div: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
14.6MiB live, 51.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.15305402390787e+34
1.0585730727469666e+36
14.0ms
-96300.8592939602
-3.6088594497592256e-7
Samples
26.0ms149×1valid
3.0ms27×0valid
Compiler

Compiled 284 to 337 computations (-18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 6.0ms (28.7% of total)
ival-cos: 6.0ms (28.7% of total)
adjust: 3.0ms (14.4% of total)
ival-add: 2.0ms (9.6% of total)
ival-mult: 2.0ms (9.6% of total)
ival-div: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify30.0ms (0.2%)

Memory
-15.3MiB live, 61.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147945
1173945
2181945
3187945
4190945
5191945
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))))
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1400000000000000039097473842544640 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -9/2 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 31999999999999998258407391585370112 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))) r)
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)))
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))))
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))))
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))) r))
(if (<=.f64 b #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1400000000000000039097473842544640 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1400000000000000039097473842544640 binary64)) (*.f64 (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))) r) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -9/2 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 31999999999999998258407391585370112 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -9/2 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 31999999999999998258407391585370112 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) r)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))) r)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))) r)

soundness2.0s (16.5%)

Memory
-14.8MiB live, 1 110.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040237
070250
1220208
21387200
08531200
0822
01322
14422
223422
3198522
01021222
058349
092336
1316280
21846274
08910271
04018978
112358462
238598374
081048090
04227407
113007031
241376940
086176692
060416
092412
1308363
21928357
08258350
04069297
113198785
241808689
084088385
02151226
16601174
220601116
376911116
082711075
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 216 to 782 computations (35.7% saved)

preprocess254.0ms (2.1%)

Memory
13.3MiB live, 99.0MiB allocated
Remove

(negabs r)

Compiler

Compiled 1 024 to 442 computations (56.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...