rsin B (should all be same)

Time bar (total: 12.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze258.0ms (2.1%)

Memory
-17.4MiB live, 338.0MiB 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)

sample2.2s (17.3%)

Memory
3.5MiB live, 2 377.9MiB allocated
Samples
1.1s5 796×1valid
273.0ms2 460×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 305.0ms (28.3% of total)
ival-sin: 280.0ms (26% of total)
ival-mult: 193.0ms (17.9% of total)
ival-div: 104.0ms (9.7% of total)
adjust: 102.0ms (9.5% of total)
ival-add: 84.0ms (7.8% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain136.0ms (1.1%)

Memory
-0.5MiB live, 248.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
63126(8.507740422017417e-36 6.779692862139614e+253 4.254100972589687e-288)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))sensitivity1890
Confusion
Predicted +Predicted -
+630
-12667
Precision
0.3333333333333333
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6300
-126067
Precision?
0.3333333333333333
Recall?
1.0
Freqs
test
numberfreq
067
1189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms354×1valid
11.0ms158×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-cos: 16.0ms (29.6% of total)
ival-mult: 11.0ms (20.3% of total)
ival-sin: 11.0ms (20.3% of total)
adjust: 6.0ms (11.1% of total)
ival-add: 5.0ms (9.2% of total)
ival-div: 4.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess106.0ms (0.8%)

Memory
-18.9MiB live, 58.0MiB 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
4.8MiB live, 4.8MiB 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

localize46.0ms (0.4%)

Memory
11.3MiB live, 87.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 b)
accuracy0.19140625
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.234375
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy13.469662254855656
(cos.f64 (+.f64 a b))
Samples
34.0ms177×1valid
5.0ms79×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 12.0ms (42.9% of total)
ival-sin: 6.0ms (21.5% of total)
adjust: 3.0ms (10.7% of total)
ival-mult: 3.0ms (10.7% of total)
ival-add: 2.0ms (7.2% of total)
ival-div: 2.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
2.8MiB live, 46.4MiB 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
10.0ms
a
@-inf
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
3.0ms
r
@0
((* 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
@inf
((* 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)))

simplify265.0ms (2.1%)

Memory
2.7MiB live, 114.1MiB 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)))

rewrite199.0ms (1.6%)

Memory
-18.6MiB live, 243.1MiB 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
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.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 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (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 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.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 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
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(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b)))
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(cos.f64 (+.f64 a b))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))

eval31.0ms (0.3%)

Memory
-13.4MiB live, 62.0MiB allocated
Compiler

Compiled 4 670 to 761 computations (83.7% saved)

prune55.0ms (0.4%)

Memory
-9.5MiB live, 111.9MiB allocated
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New22629255
Fresh000
Picked101
Done000
Total22729256
Accuracy
99.9%
Counts
256 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
78.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
78.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
78.3%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
78.3%
(*.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)))
78.6%
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
78.7%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
78.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
78.7%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
42.9%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
99.4%
(*.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))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
54.6%
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
53.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
53.0%
(*.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)))))
61.0%
(*.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)))))
54.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
61.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
63.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
51.6%
(*.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))))
78.7%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
80.8%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
78.7%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
52.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
40.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
63.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Compiler

Compiled 880 to 676 computations (23.2% saved)

simplify107.0ms (0.9%)

Memory
24.3MiB live, 134.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff14208
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
cost-diff0
(+.f64 a b)
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(/.f64 r (cos.f64 (+.f64 a b)))
cost-diff6848
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 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 (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: 2 (0.0ms)

IterNodesCost
035238
062232
1102228
2208220
3421220
41455220
53496220
65642220
77271220
87849220
08021220
Stop Event
iter limit
node limit
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))) (/.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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
r
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
#s(literal -1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(neg.f64 (sin.f64 b))
(sin.f64 b)
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(sin.f64 b)
#s(literal -1 binary64)
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(cos.f64 (-.f64 b a))
(-.f64 b a)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)
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 a)) (sin.f64 b) (*.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 a)) (sin.f64 b) (*.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 a)) (sin.f64 b) (*.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))) (/.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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
#s(literal -1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(neg.f64 (sin.f64 b))
(sin.f64 b)
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(sin.f64 b)
#s(literal -1 binary64)
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
(cos.f64 (-.f64 b a))
(cos.f64 (-.f64 a b))
(-.f64 b a)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)

localize241.0ms (1.9%)

Memory
-6.7MiB live, 400.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2578125
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
accuracy0.3310737793053261
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy13.469662254855656
(cos.f64 (+.f64 a b))
accuracy13.566806674686232
(cos.f64 (-.f64 b a))
accuracy0.10546875
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
accuracy0.19921875
(/.f64 r (cos.f64 (+.f64 a b)))
accuracy0.3248825195368841
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
accuracy13.469662254855656
(cos.f64 (+.f64 a b))
accuracy0.15625
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
accuracy0.19140625
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
accuracy0.29591752930532605
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))
accuracy13.469662254855656
(cos.f64 (+.f64 a b))
accuracy0.00390625
(cos.f64 a)
accuracy0.11328125
(/.f64 b (cos.f64 a))
accuracy0.19140625
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
accuracy30.90411706552391
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
accuracy0.0859375
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.09441376953688403
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.19140625
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
accuracy0.234375
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
158.0ms177×1valid
24.0ms79×0valid
Compiler

Compiled 233 to 34 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-cos: 51.0ms (34.3% of total)
ival-sin: 29.0ms (19.5% of total)
ival-mult: 26.0ms (17.5% of total)
ival-div: 17.0ms (11.4% of total)
adjust: 9.0ms (6.1% of total)
ival-pow: 6.0ms (4% of total)
ival-add: 4.0ms (2.7% of total)
ival-neg: 4.0ms (2.7% of total)
ival-sub: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
-4.1MiB live, 151.8MiB allocated
Counts
22 → 576
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))) (/.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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (patch (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (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) (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))) (/.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 (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (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 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (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 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (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 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos b)) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (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 b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (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>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf 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 (* -1 a)))) (taylor -inf 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 (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf 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 (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf 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 (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf 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 (* -1 a)))) (taylor -inf 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 (* -1 a)))) (taylor -inf 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 (* -1 a)))) (taylor -inf 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 (* -1 a)))) (taylor -inf 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 (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ b (cos a)) (taylor 0 b) (#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>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<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 (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 (/ (* 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 (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 (/ (* 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 (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 (/ (* 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 (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 (/ (* 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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
12.0ms
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 (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (/ r (cos (+ a b))) (+ a b) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (pow (sin b) -1) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
12.0ms
r
@0
((* 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 (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (/ r (cos (+ a b))) (+ a b) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (pow (sin b) -1) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
7.0ms
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 (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (/ r (cos (+ a b))) (+ a b) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (pow (sin b) -1) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
6.0ms
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 (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (/ r (cos (+ a b))) (+ a b) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (pow (sin b) -1) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
6.0ms
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 (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (/ r (cos (+ a b))) (+ a b) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (pow (sin b) -1) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))

simplify1.8s (14.7%)

Memory
10.4MiB live, 245.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06458313
121817657
276937601
080227364
Stop Event
iter limit
node limit
Counts
576 → 568
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 (* 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)))
(/ (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)))
(/ -1 (cos b))
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b)))
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (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 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 (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
b
(+ a b)
(+ a b)
(+ a 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)))
(pow (cos b) 2)
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(cos b)
(+ (cos b) (* a (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(/ (* r (sin b)) (pow (cos b) 2))
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos 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)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (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))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b 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)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b 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))))
(+ (* -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 (- 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))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos 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))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ -1 (cos (- b (* -1 a))))
(/ -1 (cos (- b (* -1 a))))
(/ -1 (cos (- b (* -1 a))))
(/ -1 (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* 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))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (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 (sin a)) (* -1/2 (* b (cos a))))))
(+ (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))))
(* 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))
(/ b (cos a))
(/ b (cos a))
(/ b (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 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))
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
a
(+ a b)
(+ a b)
(+ a b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* 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)))))))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg 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)))))))
(/ 1 b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(/ (* b r) (* (cos a) (cos (neg a))))
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg 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)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (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))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b 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))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (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)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- 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)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b 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)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b 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)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
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)))
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1
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(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) 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)))
(* 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)
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 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)) (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 (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 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))
(*.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)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 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)) (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 (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 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))
(*.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)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 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)) (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 (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 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))
(*.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)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))

rewrite319.0ms (2.5%)

Memory
-5.1MiB live, 308.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035186
062203
1200147
21292147
08533147
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 224
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))) (/.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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 r (cos.f64 (+.f64 a b)))
(+.f64 a b)
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (sin.f64 b) r)
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(cos.f64 (-.f64 b a))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a 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)))) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 (sin.f64 b) r) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 r) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))))
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(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
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(*.f64 (/.f64 r (neg.f64 (cos.f64 (-.f64 a b)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 r #s(literal 1/2 binary64)))
(*.f64 (/.f64 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)))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (-.f64 a b)))) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 a b)) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.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)))) (/.f64 (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(*.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)))) (/.f64 (/.f64 r (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (/.f64 r (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (-.f64 a b)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (-.f64 a b)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 r) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 (cos.f64 (-.f64 a b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 r (cos.f64 (-.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(pow.f64 (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (neg.f64 r))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 r (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r))))
(/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) r))
(/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(neg.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 (neg.f64 r) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 r) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r))) #s(literal -1 binary64)))

eval518.0ms (4.1%)

Memory
53.0MiB live, 849.2MiB allocated
Compiler

Compiled 54 199 to 3 969 computations (92.7% saved)

prune277.0ms (2.2%)

Memory
-34.0MiB live, 605.5MiB allocated
Pruning

63 alts after pruning (61 fresh and 2 done)

PrunedKeptTotal
New2 278502 328
Fresh131124
Picked325
Done000
Total2 294632 357
Accuracy
100.0%
Counts
2 357 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
99.3%
(/.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
42.1%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
78.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
52.2%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
52.3%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
52.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
51.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
45.3%
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
63.3%
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
56.4%
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
78.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
78.7%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
78.6%
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
78.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
78.3%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
78.2%
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
78.7%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
63.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
56.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
57.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
78.7%
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
78.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
99.3%
(*.f64 (/.f64 (cos.f64 (-.f64 a 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)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
78.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
78.7%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
78.7%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
78.7%
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
42.9%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
53.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
64.6%
(*.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)))))
57.5%
(*.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)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
78.7%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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)))))
54.6%
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
53.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
54.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
61.4%
(*.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)))))
63.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
53.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
49.7%
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
51.6%
(*.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))))
99.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
45.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (sin.f64 b))))
32.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (neg.f64 (sin.f64 b))))
65.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
63.3%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
56.5%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
52.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
35.5%
(*.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))))))
35.4%
(*.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))))))
35.5%
(*.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))))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
51.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
51.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
29.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
40.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
52.0%
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (/.f64 r (cos.f64 a)) b))
63.4%
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
99.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Compiler

Compiled 1 927 to 1 531 computations (20.6% saved)

simplify196.0ms (1.6%)

Memory
4.2MiB live, 81.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045341
074335
1114335
2158335
3273335
4387335
5566335
6943335
71525335
81896335
92541335
103128335
113967335
124238335
134320335
144356335
154367335
164372335
174468335
184582335
194590335
204614335
214635335
224635335
04635335
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
b
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.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)))))
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))))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
a
(cos.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a)))
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(neg.f64 (sin.f64 a))
(sin.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
(*.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)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
b
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.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 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
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))))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
a
(cos.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)))
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a))
(fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a)))
(fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a)))
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 a))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(neg.f64 (sin.f64 a))
(sin.f64 a)

localize238.0ms (1.9%)

Memory
-11.5MiB live, 226.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a)))
accuracy0.19140625
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
accuracy0.234375
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))
accuracy30.668208821236142
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
accuracy0.0625
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
accuracy0.19140625
(*.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)))))
accuracy0.234375
(/.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))))
accuracy28.7217733960659
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
accuracy0
(sin.f64 b)
accuracy0.19921875
(/.f64 r (cos.f64 (+.f64 a b)))
accuracy0.23828125
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
accuracy13.469662254855656
(cos.f64 (+.f64 a b))
accuracy0.11328125
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
accuracy0.19140625
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
accuracy26.94883658880329
#s(approx (cos a) #s(literal 1 binary64))
accuracy30.90411706552391
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
accuracy0.10613251953688403
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy0.19140625
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
accuracy0.21484375
(*.f64 (sin.f64 a) (sin.f64 b))
accuracy0.234375
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Samples
174.0ms177×1valid
19.0ms79×0valid
Compiler

Compiled 263 to 36 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-cos: 52.0ms (35.2% of total)
adjust: 31.0ms (21% of total)
ival-mult: 25.0ms (16.9% of total)
ival-sin: 16.0ms (10.8% of total)
ival-div: 11.0ms (7.4% of total)
ival-add: 9.0ms (6.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
3.5MiB live, 78.2MiB allocated
Counts
21 → 552
Calls
Call 1
Inputs
#s(alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<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 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 a) (sin.f64 b)) (patch (*.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) (patch (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) (patch (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (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 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (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 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (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 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 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) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 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) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 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) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 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 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) (patch (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<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 #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<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 #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<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 #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<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 #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos b)) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (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 b (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) (patch (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) (patch (*.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))))) #<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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) (patch (*.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))))) #<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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) (patch (*.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))))) #<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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) (patch (*.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))))) #<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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) 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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) 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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) 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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
r
@inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (+ (* (neg a) (sin b)) (cos b)) (+ (* (* (cos a) -1/2) b) (neg (sin a))))
5.0ms
b
@inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (+ (* (neg a) (sin b)) (cos b)) (+ (* (* (cos a) -1/2) b) (neg (sin a))))
5.0ms
b
@-inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (+ (* (neg a) (sin b)) (cos b)) (+ (* (* (cos a) -1/2) b) (neg (sin a))))
4.0ms
a
@inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (+ (* (neg a) (sin b)) (cos b)) (+ (* (* (cos a) -1/2) b) (neg (sin a))))
4.0ms
a
@-inf
((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* 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) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (+ (* (neg a) (sin b)) (cos b)) (+ (* (* (cos a) -1/2) b) (neg (sin a))))

simplify190.0ms (1.5%)

Memory
28.1MiB live, 262.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04157988
113237684
242197597
087507360
Stop Event
iter limit
node limit
Counts
552 → 544
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 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)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(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))))
b
(+ a b)
(+ a b)
(+ a 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)))
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(* a (sin b))
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(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
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(cos b)
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(* -1/2 b)
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(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
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(/ (sin b) (cos (+ a b)))
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(/ 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)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* -1 (* a (sin b)))
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(- (* -1/2 (* b (cos a))) (sin a))
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(- (* -1/2 (* b (cos a))) (sin a))
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(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
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(- (* (cos a) (cos b)) (* (sin a) (sin b)))
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(/ (sin b) (cos (- b (* -1 a))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
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(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* 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))))
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(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ (* 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))))
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(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* -1 (* a (sin b)))
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(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
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(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (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))))
(* 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)
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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 (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 (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))))
(/ r (cos a))
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(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(cos a)
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a
(+ a b)
(+ a b)
(+ a b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ 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)
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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))))
(* 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))))))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(* -1 (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* 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)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ 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)))
(/ (* 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)))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin 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 (sin b))))
(* -1/2 (* b (cos a)))
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* 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))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (* 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)) (+ (* -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)))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin 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 (sin b))))
(* -1/2 (* b (cos a)))
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (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) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (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) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (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))))
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 (*.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.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 a) (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 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.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)))
(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 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (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 (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 (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 (*.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.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 a) (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 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.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)))
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b
(+ b (* 1/2 (* (pow a 2) b)))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 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)
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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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(/ (* 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)))
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(/ r (cos b))
(/.f64 r (cos.f64 b))
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(cos b)
(cos.f64 b)
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b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 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)))
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(/ (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)))
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(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))))))
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(/ (* 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)))
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(/ (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)))
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(cos b)
(cos.f64 b)
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(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
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(* a (sin b))
(*.f64 a (sin.f64 b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) a)
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
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(cos b)
(cos.f64 b)
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(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* -1 (* a (sin b))))
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(+ (cos b) (* -1 (* a (sin b))))
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(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1 a) (* -1/2 b))
(fma.f64 #s(literal -1/2 binary64) b (neg.f64 a))
(+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))
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(/.f64 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 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 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)))
(/ (* 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 (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 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 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))

rewrite208.0ms (1.7%)

Memory
-9.1MiB live, 304.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045280
074211
1237211
21490211
08322211
Stop Event
iter limit
node limit
iter limit
Counts
21 → 692
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.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 (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))))
#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 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 a) (sin.f64 b))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a)))
Outputs
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 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)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.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)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a 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))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a 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 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (sin.f64 b)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
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(*.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 a) (sin.f64 a) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (neg.f64 (sin.f64 a)))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)) (-.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)) (*.f64 #s(literal 0 binary64) (-.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (sin.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (*.f64 (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a))) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64))) (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (sin.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 a) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (neg.f64 (sin.f64 a)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (sin.f64 a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (sin.f64 a) (sin.f64 a) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (neg.f64 (sin.f64 a))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)) (-.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (sin.f64 a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (sin.f64 a)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 a) (sin.f64 a) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (neg.f64 (sin.f64 a))))) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a)))))
(fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (sin.f64 a)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 #s(literal 0 binary64) (sin.f64 a))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a)))
(fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b) (neg.f64 (sin.f64 a)))
(fma.f64 (sin.f64 a) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))
(fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) (neg.f64 (sin.f64 a)))
(fma.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) (neg.f64 (sin.f64 a)))
(-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (-.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a))))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (sin.f64 a) (sin.f64 a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (sin.f64 a))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (sin.f64 a))))
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) #s(literal 0 binary64)) (sin.f64 a))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 a)))))
(-.f64 #s(literal 0 binary64) (-.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (neg.f64 (sin.f64 a)))
(+.f64 (neg.f64 (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b))

eval206.0ms (1.6%)

Memory
41.3MiB live, 345.0MiB allocated
Compiler

Compiled 28 206 to 2 697 computations (90.4% saved)

prune276.0ms (2.2%)

Memory
-39.0MiB live, 331.0MiB allocated
Pruning

70 alts after pruning (63 fresh and 7 done)

PrunedKeptTotal
New1 273231 296
Fresh164056
Picked055
Done022
Total1 289701 359
Accuracy
100.0%
Counts
1 359 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.1%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
78.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
52.3%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
52.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
51.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
63.3%
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
56.4%
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
78.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
78.7%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
78.6%
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
78.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
78.3%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
78.2%
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
63.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
56.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
57.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
78.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
78.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 (cos.f64 (-.f64 a 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)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
99.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
70.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
78.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
51.6%
(*.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)))
45.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
32.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (sin.f64 b))
65.4%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
63.4%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
78.7%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
78.7%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
78.7%
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
50.9%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
42.9%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
53.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
64.6%
(*.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)))))
57.5%
(*.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)))))
78.7%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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)))))
56.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
63.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
54.6%
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
54.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
63.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
53.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
61.4%
(*.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)))))
52.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 #s(approx (+ (* (* (cos a) -1/2) b) (neg (sin a))) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
36.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
37.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))))
61.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b)) a)))))
7.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
41.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
53.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
49.7%
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
65.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
63.3%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
52.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
35.5%
(*.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))))))
35.4%
(*.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))))))
35.5%
(*.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))))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
51.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
51.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
29.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
40.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
52.0%
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (/.f64 r (cos.f64 a)) b))
99.6%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
Compiler

Compiled 1 933 to 1 577 computations (18.4% saved)

simplify222.0ms (1.8%)

Memory
5.7MiB live, 85.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
051324
080308
1130308
2190308
3258308
4343308
5454308
6594308
7828308
81716308
92521308
103298308
113942308
124185308
134329308
144375308
154395308
164947308
175206308
185206308
195206308
205206308
215258308
225327308
235327308
05327308
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 b)
b
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
r
(/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))
(cos.f64 b)
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))))
r
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
a
#s(literal 2 binary64)
(cos.f64 (-.f64 b a))
(-.f64 b a)
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
r
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 b)
b
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 a)
(cos.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b)))
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))
#s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
r
(/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))
(cos.f64 b)
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(+.f64 a b)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
a
#s(literal 2 binary64)
(cos.f64 (-.f64 b a))
(cos.f64 (-.f64 a b))
(-.f64 b a)

localize257.0ms (2.1%)

Memory
30.2MiB live, 400.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
accuracy0.2578125
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
accuracy13.566806674686232
(cos.f64 (-.f64 b a))
accuracy26.41169736346358
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
accuracy0.19921875
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))))
accuracy0.23828125
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
accuracy13.469662254855656
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
accuracy0
(cos.f64 b)
accuracy0.19140625
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
accuracy0.234375
(/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
accuracy27.149370659595842
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))
accuracy0.19140625
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
accuracy6.964306382283319
(*.f64 (*.f64 a a) b)
accuracy29.282835987252053
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))
accuracy30.90411706552391
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))
accuracy0.0859375
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy0.09441376953688403
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy0.19921875
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
accuracy0.23828125
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Samples
198.0ms183×1valid
21.0ms73×0valid
Compiler

Compiled 269 to 44 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-cos: 60.0ms (33% of total)
ival-mult: 33.0ms (18.2% of total)
ival-pow2: 27.0ms (14.9% of total)
ival-div: 20.0ms (11% of total)
ival-sin: 18.0ms (9.9% of total)
adjust: 13.0ms (7.2% of total)
ival-add: 5.0ms (2.8% of total)
ival-sub: 4.0ms (2.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series88.0ms (0.7%)

Memory
-21.9MiB live, 144.5MiB allocated
Counts
23 → 624
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (patch #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (patch (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (patch #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (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 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (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 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (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 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos b)) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<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 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<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 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<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 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<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 #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<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 #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ())
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#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (patch #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (patch (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
27.0ms
b
@-inf
((* (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (sin b)) (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ 1 (/ 1 (+ a b))) (* (/ r (cos (/ 1 (/ 1 (+ a b))))) (sin b)) (/ r (cos (/ 1 (/ 1 (+ a b))))) (cos (/ 1 (/ 1 (+ a b)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos a) (cos b)) (* (* a a) b) (cos b) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))
9.0ms
a
@-inf
((* (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (sin b)) (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ 1 (/ 1 (+ a b))) (* (/ r (cos (/ 1 (/ 1 (+ a b))))) (sin b)) (/ r (cos (/ 1 (/ 1 (+ a b))))) (cos (/ 1 (/ 1 (+ a b)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos a) (cos b)) (* (* a a) b) (cos b) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))
6.0ms
r
@-inf
((* (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (sin b)) (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ 1 (/ 1 (+ a b))) (* (/ r (cos (/ 1 (/ 1 (+ a b))))) (sin b)) (/ r (cos (/ 1 (/ 1 (+ a b))))) (cos (/ 1 (/ 1 (+ a b)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos a) (cos b)) (* (* a a) b) (cos b) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))
5.0ms
r
@inf
((* (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (sin b)) (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ 1 (/ 1 (+ a b))) (* (/ r (cos (/ 1 (/ 1 (+ a b))))) (sin b)) (/ r (cos (/ 1 (/ 1 (+ a b))))) (cos (/ 1 (/ 1 (+ a b)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos a) (cos b)) (* (* a a) b) (cos b) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))
5.0ms
b
@inf
((* (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (sin b)) (/ r (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ 1 (/ 1 (+ a b))) (* (/ r (cos (/ 1 (/ 1 (+ a b))))) (sin b)) (/ r (cos (/ 1 (/ 1 (+ a b))))) (cos (/ 1 (/ 1 (+ a b)))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (* (sin b) r) (* (cos a) (cos b)) (* (* a a) b) (cos b) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))

simplify215.0ms (1.7%)

Memory
-10.3MiB live, 304.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05888868
120048299
270657969
084797739
Stop Event
iter limit
node limit
Counts
624 → 615
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 (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(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))))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* 1/2 (* (pow a 2) 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 (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
b
(+ a b)
(+ a b)
(+ a 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 (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(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 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)) (pow (cos b) 2))
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))))) (pow (cos b) 4))) (/ (* r (sin b)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))))) (pow (cos b) 6))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4)))) (pow (cos b) 2))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))) (pow (cos b) 4)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))) 2))) (pow (cos b) 6))) (/ (* r (* (sin b) (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2))))) (pow (cos b) 4))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b))))) (pow (cos b) 4)))) (/ (* r (sin b)) (pow (cos b) 2)))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(pow (cos b) 2)
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))
(cos b)
(+ (cos b) (* a (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -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))
(* 1/2 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -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 (- 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))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(* 1/2 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (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))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(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))))))))
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 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 (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(* b (+ 1 (* 1/2 (pow a 2))))
(* b (+ 1 (* 1/2 (pow a 2))))
(* b (+ 1 (* 1/2 (pow a 2))))
(* b (+ 1 (* 1/2 (pow a 2))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ 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 (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
a
(+ a b)
(+ a b)
(+ a b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(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))))
(/ (* 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 r) (* (cos a) (cos (neg a))))
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))) (/ r (* (cos a) (cos (neg a))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg a))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))) (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))))) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (+ (/ (* r (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))) (/ (* (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) (- (* -1/6 (/ r (* (cos a) (cos (neg a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (* (cos a) (cos (neg a)))))))) (* -1/6 (/ r (* (cos a) (cos (neg a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a)))) 2)) (* (pow (cos a) 3) (pow (cos (neg a)) 3)))) (/ (* r (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2)))))) (/ (* r (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (pow (cos a) 2) (pow (cos (neg a)) 2))))) (/ r (* (cos a) (cos (neg 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)))))))
(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)))))))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a))))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -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)))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (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))
(* b (+ 1 (* 1/2 (pow a 2))))
(* b (+ 1 (* 1/2 (pow a 2))))
(* b (+ 1 (* 1/2 (pow a 2))))
(* b (+ 1 (* 1/2 (pow a 2))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(cos b)
(cos b)
(cos b)
(cos b)
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -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)))
(sin b)
(sin b)
(sin b)
(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))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(* -1 (* b (- (* -1/2 (pow a 2)) 1)))
(* -1 (* b (- (* -1/2 (pow a 2)) 1)))
(* -1 (* b (- (* -1/2 (pow a 2)) 1)))
(* -1 (* b (- (* -1/2 (pow a 2)) 1)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (cos (- a (* -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 (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(/ (* r (sin b)) (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(cos b)
(cos b)
(cos b)
(cos b)
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin 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 (fma.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.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 (*.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 (neg.f64 (fma.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 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.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))))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) (-.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.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 a #s(literal -1/2 binary64)) (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 (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 (fma.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.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 (*.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 (neg.f64 (fma.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 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.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 (-.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b))) 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)))) (-.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)))) 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 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b)
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
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a
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(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
a
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(* -1 (* a (- (* -1 (/ b a)) 1)))
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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)) (+ (* -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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 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)) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin 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 (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 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)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a 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)) (+ (* -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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 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)) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin 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 (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 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)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (/.f64 r (cos.f64 (+.f64 a 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)

rewrite195.0ms (1.6%)

Memory
32.2MiB live, 256.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051272
080214
1270214
21621214
08390214
Stop Event
iter limit
node limit
iter limit
Counts
23 → 504
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 (sin.f64 b) r)
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (*.f64 a a) b)
(cos.f64 b)
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(cos.f64 (-.f64 b a))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a 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 b) (cos.f64 a)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.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)))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))
(*.f64 (/.f64 r (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (-.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)))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r)
(*.f64 (neg.f64 r) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 r))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 r (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
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(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(*.f64 r (*.f64 (sin.f64 b) (pow.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r))) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(cos.f64 b)
#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.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)))) (neg.f64 (+.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 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 a)) (sin.f64 b))))))
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a 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 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 a)) (sin.f64 b)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 a b)))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))))))
(fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (neg.f64 b))) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 (-.f64 b a))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 a b)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))))))
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))

eval188.0ms (1.5%)

Memory
-27.6MiB live, 338.6MiB allocated
Compiler

Compiled 24 058 to 2 126 computations (91.2% saved)

prune262.0ms (2.1%)

Memory
6.2MiB live, 332.8MiB allocated
Pruning

81 alts after pruning (70 fresh and 11 done)

PrunedKeptTotal
New1 161191 180
Fresh75158
Picked145
Done077
Total1 169811 250
Accuracy
100.0%
Counts
1 250 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.1%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
78.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
52.3%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
52.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
51.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
63.3%
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
56.4%
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
78.8%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
63.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
78.7%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
78.6%
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
78.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
63.4%
(/.f64 r (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (sin.f64 b)))
78.3%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
63.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
78.2%
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
56.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
42.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 b)))
56.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
78.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
78.7%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 (cos.f64 (-.f64 a 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)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
99.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
53.2%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))) (sin.f64 b))
53.1%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (sin.f64 b))
64.6%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
57.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
28.4%
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
70.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
78.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
51.6%
(*.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)))
45.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
32.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (sin.f64 b))
18.8%
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 a b))))) (sin.f64 b))
65.4%
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ a b))) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
63.4%
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
78.7%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
78.7%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
78.7%
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
57.6%
(*.f64 (*.f64 r (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
50.9%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
42.9%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
64.6%
(*.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)))))
57.5%
(*.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)))))
78.7%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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)))))
56.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
63.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
54.6%
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
54.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
63.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
36.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
41.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
53.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
61.4%
(*.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)))))
52.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 #s(approx (+ (* (* (cos a) -1/2) b) (neg (sin a))) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
37.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #s(literal 1 binary64))))))
61.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b)) a)))))
7.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
53.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
49.7%
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
65.4%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
63.3%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
52.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
35.5%
(*.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))))))
35.4%
(*.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))))))
35.5%
(*.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))))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
51.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
51.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
29.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
16.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
11.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
40.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
52.0%
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (/.f64 r (cos.f64 a)) b))
99.6%
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
Compiler

Compiled 2 980 to 1 454 computations (51.2% saved)

regimes211.0ms (1.7%)

Memory
-15.6MiB live, 334.8MiB allocated
Counts
122 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 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) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.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 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 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)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 #s(approx (+ (* (* (cos a) -1/2) b) (neg (sin a))) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (*.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 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ a b))) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(/.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 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 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 (+ (* (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 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b)) a)))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 b)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (neg.f64 (sin.f64 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)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (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)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a 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)))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 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
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Calls

5 calls:

59.0ms
r
38.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
38.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
34.0ms
b
32.0ms
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)

regimes195.0ms (1.6%)

Memory
40.3MiB live, 265.0MiB allocated
Counts
114 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 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) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.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 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 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)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 #s(approx (+ (* (* (cos a) -1/2) b) (neg (sin a))) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (*.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 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ a b))) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(/.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 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 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 (+ (* (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 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b)) a)))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 b)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (neg.f64 (sin.f64 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)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (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)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
Calls

5 calls:

55.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.0ms
b
34.0ms
a
33.0ms
r
33.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
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)

regimes250.0ms (2%)

Memory
6.4MiB live, 250.8MiB allocated
Counts
111 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 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) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.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 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 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)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 #s(approx (+ (* (* (cos a) -1/2) b) (neg (sin a))) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (*.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 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ a b))) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(/.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 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 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 (+ (* (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 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b)) a)))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 b)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (neg.f64 (sin.f64 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)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (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)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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)))))
Outputs
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
Calls

5 calls:

62.0ms
a
60.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
46.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
45.0ms
b
32.0ms
r
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)

regimes211.0ms (1.7%)

Memory
-22.4MiB live, 328.5MiB allocated
Counts
108 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 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) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.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 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 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)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 #s(approx (+ (* (* (cos a) -1/2) b) (neg (sin a))) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (*.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 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ a b))) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(/.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 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 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 (+ (* (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 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b)) a)))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 b)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (neg.f64 (sin.f64 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)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
Calls

5 calls:

66.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
39.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.0ms
a
32.0ms
b
30.0ms
r
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes185.0ms (1.5%)

Memory
31.6MiB live, 378.3MiB allocated
Counts
107 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 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) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.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 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 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)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 #s(approx (+ (* (* (cos a) -1/2) b) (neg (sin a))) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)) (*.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 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ a b))) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(/.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 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (pow.f64 (sin.f64 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 (+ (* (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 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (neg.f64 r) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b)) a)))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(approx (cos (- b a)) (cos.f64 b)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(*.f64 (*.f64 r (/.f64 (sin.f64 b) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))))) (neg.f64 (sin.f64 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)))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Calls

5 calls:

51.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
36.0ms
a
32.0ms
b
31.0ms
r
30.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
78.8%1r
78.8%1a
78.8%1b
78.8%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
78.8%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes65.0ms (0.5%)

Memory
10.8MiB live, 158.7MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

17.0ms
a
13.0ms
b
12.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
12.0ms
r
9.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
78.8%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
78.8%1b
78.8%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
78.8%1r
78.8%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes59.0ms (0.5%)

Memory
-12.4MiB live, 145.0MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
Calls

5 calls:

16.0ms
a
11.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
11.0ms
r
10.0ms
b
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
63.4%1r
79.1%3b
79.1%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
65.1%2(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
79.0%3a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes23.0ms (0.2%)

Memory
-30.2MiB live, 32.7MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

1 calls:

9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
79.1%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes17.0ms (0.1%)

Memory
9.7MiB live, 48.4MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

2 calls:

8.0ms
b
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
79.1%3b
79.0%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes50.0ms (0.4%)

Memory
16.1MiB live, 127.4MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 b) a #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 (sin.f64 b) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))
Calls

5 calls:

15.0ms
r
11.0ms
b
10.0ms
a
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
52.4%1r
52.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
52.4%1a
56.9%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
56.9%3b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes20.0ms (0.2%)

Memory
21.2MiB live, 60.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (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))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Calls

5 calls:

4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
r
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
52.0%1a
52.0%1r
52.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
52.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
52.0%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes19.0ms (0.2%)

Memory
-19.4MiB live, 59.9MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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 (cos (+ a b))) (pow (sin b) -1)) (*.f64 (/.f64 r (cos.f64 a)) b))
Outputs
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

5 calls:

4.0ms
b
4.0ms
a
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
r
Results
AccuracySegmentsBranch
52.0%1r
52.0%1b
52.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
52.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
52.0%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes18.0ms (0.1%)

Memory
13.9MiB live, 54.7MiB allocated
Accuracy

Total -18.8b remaining (-46.2%)

Threshold costs -18.8b (-46.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(*.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
b
3.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
r
3.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms
a
Results
AccuracySegmentsBranch
36.4%1r
36.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.4%1b
36.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
36.4%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00033013503206296064
0.02855998037013564
0.0ms
-0.029288221631356103
-0.0016807070934774613
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00033013503206296064
0.02855998037013564
0.0ms
-0.029288221631356103
-0.0016807070934774613
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch57.0ms (0.5%)

Memory
-10.5MiB live, 145.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.001630661873194939
61001866.174032964
28.0ms
-2.670462487220155e+20
-518.611630024438
Samples
21.0ms146×1valid
20.0ms174×0valid
Compiler

Compiled 312 to 354 computations (-13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 11.0ms (37.6% of total)
ival-sin: 8.0ms (27.4% of total)
ival-mult: 3.0ms (10.3% of total)
ival-add: 2.0ms (6.8% of total)
ival-div: 2.0ms (6.8% of total)
adjust: 2.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
20.5MiB live, 95.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
61001866.174032964
16965413608.229034
24.0ms
-518.611630024438
-4.258181649807998e-9
Samples
22.0ms132×1valid
13.0ms156×0valid
Compiler

Compiled 282 to 338 computations (-19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 10.0ms (37.4% of total)
ival-sin: 7.0ms (26.2% of total)
ival-add: 2.0ms (7.5% of total)
ival-div: 2.0ms (7.5% of total)
adjust: 2.0ms (7.5% of total)
ival-mult: 2.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify28.0ms (0.2%)

Memory
-41.8MiB live, 55.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099433
1122433
2131433
3136433
4137433
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/288230376151711744 binary64)) #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 1152921504606847/2305843009213693952 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/288230376151711744 binary64)) #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 1152921504606847/2305843009213693952 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -520 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3804640965202595/2305843009213693952 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -7926335344172073/9007199254740992 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 62000000 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 r (/.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) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) r)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos 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 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/288230376151711744 binary64)) #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 1152921504606847/2305843009213693952 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/288230376151711744 binary64)) #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 1152921504606847/2305843009213693952 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/288230376151711744 binary64)) #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 1152921504606847/2305843009213693952 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) #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 -5764607523034235/288230376151711744 binary64)) #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 1152921504606847/2305843009213693952 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -520 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3804640965202595/2305843009213693952 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -520 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3804640965202595/2305843009213693952 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -7926335344172073/9007199254740992 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 62000000 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -7926335344172073/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 62000000 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64)))) r)))
(*.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)
#s(approx (/ (/ r (cos (+ a b))) (pow (sin b) -1)) (*.f64 (/.f64 r (cos.f64 a)) 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)

soundness1.3s (10.2%)

Memory
19.1MiB live, 1 012.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045280
074211
1237211
21490211
08322211
0822
01322
14422
223422
3198522
01021222
06458313
121817657
276937601
080227364
02151226
16601174
220601116
376911116
082711075
051272
080214
1270214
21621214
08390214
04157988
113237684
242197597
087507360
Stop Event
fuel
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
Compiler

Compiled 622 to 334 computations (46.3% saved)

preprocess314.0ms (2.5%)

Memory
-9.1MiB live, 150.6MiB allocated
Remove

(negabs r)

Compiler

Compiled 784 to 352 computations (55.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...