rsin B (should all be same)

Time bar (total: 40.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.2s (5.5%)

Memory
79.6MiB live, 685.2MiB 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)

sample6.4s (15.9%)

Memory
616.3MiB live, 3 818.0MiB allocated
Samples
3.5s5 827×1valid
230.0ms2 429×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-sin: 2.2s (67% of total)
ival-cos: 338.0ms (10.4% of total)
ival-mult: 303.0ms (9.3% of total)
ival-add: 162.0ms (5% of total)
adjust: 135.0ms (4.2% of total)
ival-div: 125.0ms (3.8% of total)
ival-true: 6.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain192.0ms (0.5%)

Memory
84.0MiB live, 390.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
69126(-1.0463141329921701e+266 -7.192238549232476e+224 -4.237609255992306e-282)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))sensitivity1950
Confusion
Predicted +Predicted -
+690
-12661
Precision
0.35384615384615387
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6900
-126061
Precision?
0.35384615384615387
Recall?
1.0
Freqs
test
numberfreq
061
1195
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
93.0ms372×1valid
14.0ms140×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-cos: 24.0ms (29.7% of total)
ival-mult: 21.0ms (26% of total)
adjust: 11.0ms (13.6% of total)
ival-sin: 11.0ms (13.6% of total)
ival-div: 9.0ms (11.1% of total)
ival-add: 5.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess118.0ms (0.3%)

Memory
4.4MiB live, 72.4MiB allocated
Algorithm
egg-herbie
Rules
654×times-frac
520×associate-*r*
518×unsub-neg
466×distribute-rgt-in
464×associate-*l*
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 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Symmetry

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0%)

Memory
-19.7MiB live, 13.0MiB 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))))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
lower-/.f64
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 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize77.0ms (0.2%)

Memory
29.4MiB live, 128.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 b)
accuracy0.16015625
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.244472509768442
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy14.662414027020162
(cos.f64 (+.f64 a b))
Samples
40.0ms186×1valid
5.0ms70×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sin: 16.0ms (46.8% of total)
ival-cos: 8.0ms (23.4% of total)
adjust: 3.0ms (8.8% of total)
ival-mult: 3.0ms (8.8% of total)
ival-add: 2.0ms (5.8% of total)
ival-div: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.1%)

Memory
16.5MiB live, 48.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (cos (+ 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>) () ())) ())
#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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ 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 (/ (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) (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) (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 (/ (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 (/ (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 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 (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 (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 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 (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 (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 (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 (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 (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>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
6.0ms
a
@inf
(* r (/ (sin b) (cos (+ a b))))
2.0ms
a
@inf
(/ (sin b) (cos (+ a b)))
2.0ms
r
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@inf
(* r (/ (sin b) (cos (+ a b))))
1.0ms
r
@inf
(* r (/ (sin b) (cos (+ a b))))

simplify327.0ms (0.8%)

Memory
71.8MiB live, 439.9MiB allocated
Algorithm
egg-herbie
Rules
9 408×lower-fma.f64
9 408×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
2 876×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (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)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 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))))
(fma.f64 (fma.f64 b (-.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)))) (*.f64 b (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)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b 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 a (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.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 a (fma.f64 a (*.f64 (neg.f64 a) (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))

rewrite480.0ms (1.2%)

Memory
106.9MiB live, 605.2MiB allocated
Rules
6 400×lower-*.f32
6 398×lower-*.f64
4 812×lower-/.f32
4 810×lower-/.f64
3 770×lower-fma.f64
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
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 (neg.f64 b)))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 a b))))))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval52.0ms (0.1%)

Memory
-9.9MiB live, 95.2MiB allocated
Compiler

Compiled 4 900 to 750 computations (84.7% saved)

prune91.0ms (0.2%)

Memory
29.2MiB live, 201.6MiB allocated
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New22431255
Fresh000
Picked011
Done000
Total22432256
Accuracy
99.8%
Counts
256 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
77.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
76.9%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
76.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
76.9%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
33.0%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
76.5%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.7%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
76.9%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))))
35.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
77.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
54.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
57.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
57.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
55.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
56.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
53.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
53.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
76.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
76.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
53.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
30.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
60.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 1 186 to 722 computations (39.1% saved)

simplify261.0ms (0.6%)

Memory
31.0MiB live, 171.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
cost-diff0
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
cost-diff192
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
cost-diff1088
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 b (/.f64 r (cos.f64 a)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff320
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
cost-diff6016
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
2 304×div-sub
2 148×lower-fma.f32
2 146×lower-fma.f64
1 756×lower-*.f32
1 744×lower-*.f64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
033216
056210
189209
2121209
3173209
4250209
5413209
6707209
71180209
82276205
93416205
104821205
116089205
126451205
136526205
146553205
156983205
167191205
177371205
187853205
197865205
207881205
217881205
08055205
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 #s(literal 1 binary64) (sin.f64 b))
#s(literal 1 binary64)
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
#s(literal -1 binary64)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 #s(literal 1 binary64) (sin.f64 b))
#s(literal 1 binary64)
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
#s(literal -1 binary64)

localize2.6s (6.5%)

Memory
88.6MiB live, 601.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
accuracy2.2870423200745797
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
accuracy3.6320054017826777
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
accuracy6.98199819944346
(cos.f64 (+.f64 b a))
accuracy0.0390625
(/.f64 #s(literal 1 binary64) (sin.f64 b))
accuracy0.0859375
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.12337875976844201
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
accuracy6.98199819944346
(cos.f64 (+.f64 b a))
accuracy0
(sin.f64 b)
accuracy0.0859375
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.09765625
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy6.98199819944346
(cos.f64 (+.f64 b a))
accuracy0
(cos.f64 a)
accuracy0.02734375
(/.f64 r (cos.f64 a))
accuracy0.06640625
(*.f64 b (/.f64 r (cos.f64 a)))
accuracy14.382311944668658
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
accuracy0.0703125
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
accuracy0.07451881092597981
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy0.08984375
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.10546875
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Samples
2.3s44×0invalid
160.0ms99×1invalid
94.0ms85×1valid
7.0ms28×0valid
Compiler

Compiled 214 to 34 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-div: 62.0ms (28.4% of total)
ival-cos: 57.0ms (26.1% of total)
ival-sin: 42.0ms (19.2% of total)
ival-mult: 25.0ms (11.4% of total)
ival-add: 11.0ms (5% of total)
adjust: 10.0ms (4.6% of total)
ival-log: 5.0ms (2.3% of total)
ival-exp: 4.0ms (1.8% of total)
ival-neg: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series389.0ms (1%)

Memory
92.4MiB live, 584.9MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 b (/.f64 r (cos.f64 a))) (patch (*.f64 b (/.f64 r (cos.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (+.f64 b a))) (patch (/.f64 r (cos.f64 (+.f64 b a))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) (patch (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (patch (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 b)) #<representation binary64>) () ())
Outputs
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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 (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 (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) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
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Calls

135 calls:

TimeVariablePointExpression
62.0ms
a
@-inf
(* (log (/ (cos (+ b a)) (* r (sin b)))) -1)
59.0ms
b
@inf
(* (log (/ (cos (+ b a)) (* r (sin b)))) -1)
38.0ms
b
@-inf
(* (log (/ (cos (+ b a)) (* r (sin b)))) -1)
27.0ms
a
@inf
(* (log (/ (cos (+ b a)) (* r (sin b)))) -1)
21.0ms
r
@-inf
(* (log (/ (cos (+ b a)) (* r (sin b)))) -1)

simplify308.0ms (0.8%)

Memory
112.7MiB live, 511.2MiB allocated
Algorithm
egg-herbie
Rules
8 778×lower-fma.f64
8 778×lower-fma.f32
7 460×lower-*.f64
7 460×lower-*.f32
2 346×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05597215
118076950
260466853
081736633
Stop Event
iter limit
node limit
Counts
540 → 532
Calls
Call 1
Inputs
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (- (* (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 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (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) (- (* (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))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (+ (log (/ (cos a) r)) (* -1 (log b))))
(+ (* -1 (+ (log (/ (cos a) r)) (* -1 (log b)))) (/ (* b (sin a)) (cos a)))
(+ (* -1 (+ (log (/ (cos a) r)) (* -1 (log b)))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a)))))) (/ (sin a) (cos a)))))
(+ (* -1 (+ (log (/ (cos a) r)) (* -1 (log b)))) (* b (+ (* b (+ (* -1/2 (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a))))) (* -1/6 (* b (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (* 6 (/ (* r (* (sin a) (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (pow (cos a) 2)))))))) (/ (sin a) (cos a)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (- a (* -1 b))) (* r (sin b)))))
(* -1 (log (/ (cos (- a (* -1 b))) (* r (sin b)))))
(* -1 (log (/ (cos (- a (* -1 b))) (* r (sin b)))))
(* -1 (log (/ (cos (- a (* -1 b))) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(+ (* -1 (log (/ (cos b) (* r (sin b))))) (/ (* a (sin b)) (cos b)))
(+ (* -1 (log (/ (cos b) (* r (sin b))))) (* a (+ (* -1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b)))))
(+ (* -1 (log (/ (cos b) (* r (sin b))))) (* a (+ (* a (+ (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* -1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (/ (sin b) (cos b)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (+ a b)) (* r (sin b)))))
(* -1 (log (/ (cos (- b (* -1 a))) (* r (sin b)))))
(* -1 (log (/ (cos (- b (* -1 a))) (* r (sin b)))))
(* -1 (log (/ (cos (- b (* -1 a))) (* r (sin b)))))
(* -1 (log (/ (cos (- b (* -1 a))) (* r (sin b)))))
(* -1 (+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b)))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b)))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b)))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b)))))
(* -1 (+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r))))
(+ (log (/ (cos a) r)) (* -1 (log b)))
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* -1 (/ (* b (sin a)) (cos a)))))
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a))))))))))
(+ (log (/ (cos a) r)) (+ (* -1 (log b)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (* 6 (/ (* r (* (sin a) (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (pow (cos a) 2)))))) (* 1/2 (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (/ (* r (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (cos a)))))))))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (- a (* -1 b))) (* r (sin b))))
(log (/ (cos (- a (* -1 b))) (* r (sin b))))
(log (/ (cos (- a (* -1 b))) (* r (sin b))))
(log (/ (cos (- a (* -1 b))) (* r (sin b))))
(log (/ (cos b) (* r (sin b))))
(+ (log (/ (cos b) (* r (sin b)))) (* -1 (/ (* a (sin b)) (cos b))))
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))
(+ (log (/ (cos b) (* r (sin b)))) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (+ a b)) (* r (sin b))))
(log (/ (cos (- b (* -1 a))) (* r (sin b))))
(log (/ (cos (- b (* -1 a))) (* r (sin b))))
(log (/ (cos (- b (* -1 a))) (* r (sin b))))
(log (/ (cos (- b (* -1 a))) (* r (sin b))))
(+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r)))
(+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r)))
(+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r)))
(+ (log (/ (cos (+ a b)) (sin b))) (* -1 (log r)))
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(/ (cos a) (* b r))
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos b) (* r (sin b)))
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(/ 1 b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
Outputs
(/ 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))))
(fma.f64 (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 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))))
(fma.f64 (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.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 a (fma.f64 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))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.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 a (fma.f64 a (-.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))) (*.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #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 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
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(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(-.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (log.f64 r))
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(-.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (log.f64 r))
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(-.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (log.f64 r))
(+ (log (/ 1 r)) (log (/ (cos (+ a b)) (sin b))))
(-.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (log.f64 r))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(+.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) (neg.f64 (log.f64 (neg.f64 r))))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(+.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) (neg.f64 (log.f64 (neg.f64 r))))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(+.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) (neg.f64 (log.f64 (neg.f64 r))))
(+ (log (* -1 (/ (cos (+ a b)) (sin b)))) (log (/ -1 r)))
(+.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) (neg.f64 (log.f64 (neg.f64 r))))
(/ (cos a) (* b r))
(/.f64 (cos.f64 a) (*.f64 b r))
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal -1/3 binary64) b)) (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/24 binary64) (/.f64 (cos.f64 a) r) (fma.f64 (/.f64 (cos.f64 a) r) #s(literal -1/120 binary64) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/18 binary64)))) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/3 binary64)) r)) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos b) (* r (sin b)))
(/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))
(-.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) (/.f64 a r))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) (/.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (*.f64 #s(literal 1/6 binary64) (/.f64 a r))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(/ (cos (+ a b)) (* r (sin b)))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* a (sin b))
(*.f64 a (sin.f64 b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 a (*.f64 a (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))

rewrite755.0ms (1.9%)

Memory
90.4MiB live, 552.0MiB allocated
Rules
4 740×lower-fma.f32
4 738×lower-fma.f64
3 978×lower-*.f32
3 966×lower-*.f64
3 626×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033157
056130
1180129
21050128
08421128
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 085
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
Outputs
(+.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))
(+.f64 (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (neg.f64 r)) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (sin.f64 b))))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (+.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 b) (sin.f64 a)))
(/.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 (sin.f64 a))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)))
(*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)))
(*.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a))) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))

eval3.3s (8.1%)

Memory
137.8MiB live, 753.2MiB allocated
Compiler

Compiled 56 293 to 4 713 computations (91.6% saved)

prune848.0ms (2.1%)

Memory
181.6MiB live, 1 400.6MiB allocated
Pruning

88 alts after pruning (85 fresh and 3 done)

PrunedKeptTotal
New2 195772 272
Fresh18826
Picked325
Done011
Total2 216882 304
Accuracy
100.0%
Counts
2 304 → 88
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 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.4%
(/.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
36.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
29.1%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
53.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
53.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
53.3%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
57.6%
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
55.2%
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
56.7%
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
76.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
76.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
77.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
76.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
76.8%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
26.6%
(*.f64 (/.f64 r (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
88.4%
(*.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
89.1%
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
98.9%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
34.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
76.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
53.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
44.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
64.7%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
57.0%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
57.6%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
55.3%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
56.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.8%
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (sin.f64 b))
50.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
33.0%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
99.4%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
76.5%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
46.5%
(*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
88.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
89.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 b) (sin.f64 a)))))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
59.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
65.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
61.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
89.1%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
98.9%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
35.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
77.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
56.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
76.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
53.4%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
40.3%
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
25.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
21.4%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
21.8%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (cos (+ b a)) (* r (sin b))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) #s(literal -1 binary64)))
20.4%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (cos (+ b a)) (* r (sin b))) (/.f64 (cos.f64 a) (*.f64 b r)))) #s(literal -1 binary64)))
37.5%
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
26.8%
(exp.f64 #s(approx (* (log (/ (cos (+ b a)) (* r (sin b)))) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))))
60.1%
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
53.4%
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
99.5%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
53.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
52.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
53.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
53.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
53.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
38.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
25.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
26.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
26.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
36.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 3 749 to 2 312 computations (38.3% saved)

simplify226.0ms (0.6%)

Memory
27.9MiB live, 264.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
cost-diff320
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
cost-diff7040
(*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
cost-diff0
(/.f64 #s(literal 1 binary64) r)
cost-diff0
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
cost-diff7168
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
cost-diff0
(*.f64 b r)
cost-diff0
#s(approx (* b (/ r (cos a))) (*.f64 b r))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
Rules
3 532×lower-fma.f32
3 530×lower-fma.f64
3 396×lower-*.f32
3 378×lower-*.f64
2 122×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055369
086311
1161305
2255305
3568305
41673305
53570305
65704305
76650305
87077305
97335305
107513305
117913305
08041302
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
(*.f64 b r)
b
r
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) r)
#s(literal 1 binary64)
r
#s(literal -1 binary64)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
r
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
#s(literal 0 binary64)
(neg.f64 (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))
(sin.f64 b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(*.f64 #s(literal 2 binary64) (+.f64 b a))
#s(literal 2 binary64)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) (sin.f64 a))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 b r)
(*.f64 r b)
b
r
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
r
(/.f64 #s(literal 1 binary64) r)
#s(literal 1 binary64)
r
#s(literal -1 binary64)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
r
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
#s(literal 0 binary64)
#s(literal 0 binary64)
(neg.f64 (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))
(neg.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(sin.f64 b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 b a))
(*.f64 (+.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)

localize419.0ms (1%)

Memory
156.7MiB live, 798.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.23828125
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
accuracy0.6698633190715675
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
accuracy14.600819681824806
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
accuracy14.662414027020162
(cos.f64 (+.f64 b a))
accuracy0.15234375
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
accuracy0.16015625
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
accuracy0.244472509768442
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
accuracy14.662414027020162
(cos.f64 (+.f64 b a))
accuracy0
(cos.f64 a)
accuracy0.16015625
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
accuracy0.244472509768442
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
accuracy27.766249997844806
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
accuracy0
(*.f64 b r)
accuracy23.971481576605754
#s(approx (* b (/ r (cos a))) (*.f64 b r))
accuracy29.771978634024308
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
accuracy0.1796875
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
accuracy0.19921875
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.244472509768442
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
accuracy0.6234978976867502
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
Samples
307.0ms186×1valid
24.0ms70×0valid
Compiler

Compiled 350 to 49 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-cos: 120.0ms (42.9% of total)
ival-mult: 55.0ms (19.7% of total)
ival-div: 30.0ms (10.7% of total)
adjust: 28.0ms (10% of total)
ival-sin: 19.0ms (6.8% of total)
ival-add: 14.0ms (5% of total)
ival-neg: 5.0ms (1.8% of total)
ival-pow: 4.0ms (1.4% of total)
ival-sub: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series133.0ms (0.3%)

Memory
2.8MiB live, 176.2MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) #<representation binary64>) () ())
#s(alt #s(approx (* b (/ r (cos a))) (*.f64 b r)) (patch #s(approx (* b (/ r (cos a))) (*.f64 b r)) #<representation binary64>) () ())
#s(alt (*.f64 b r) (patch (*.f64 b r) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) r) (patch (/.f64 #s(literal 1 binary64) r) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) (patch (*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #<representation binary64>) () ())
Outputs
#s(alt (* b (sin a)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* a (sin b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a))))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) #<representation binary64>) () ())) ())
Calls

150 calls:

TimeVariablePointExpression
6.0ms
r
@0
(* r (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))))
4.0ms
a
@-inf
(/ 1 (* (sin b) (sin a)))
3.0ms
b
@0
(/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))))
2.0ms
a
@0
(* r (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))))
1.0ms
b
@0
(* r (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))))

simplify3.2s (7.8%)

Memory
108.3MiB live, 778.6MiB allocated
Algorithm
egg-herbie
Rules
10 314×lower-fma.f64
10 314×lower-fma.f32
8 006×lower-*.f64
8 006×lower-*.f32
3 298×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06679825
121069506
265359404
082039024
Stop Event
iter limit
node limit
Counts
600 → 587
Calls
Call 1
Inputs
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin 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) (- (* (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 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (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) (- (* (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))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
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r
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r
r
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r
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(/ 1 r)
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(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
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(* (sin a) (sin b))
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(* (sin a) (sin b))
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(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
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(/ 1 (* b (sin a)))
(/ (+ (* 1/6 (/ (pow b 2) (sin a))) (/ 1 (sin a))) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) (sin a))) (* 1/6 (/ 1 (sin a))))) (/ 1 (sin a))) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) (sin a))) (* 7/360 (/ 1 (sin a))))) (* 1/6 (/ 1 (sin a))))) (/ 1 (sin a))) b)
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* a (sin b)))
(/ (+ (* 1/6 (/ (pow a 2) (sin b))) (/ 1 (sin b))) a)
(/ (+ (* (pow a 2) (+ (* 7/360 (/ (pow a 2) (sin b))) (* 1/6 (/ 1 (sin b))))) (/ 1 (sin b))) a)
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (* 31/15120 (/ (pow a 2) (sin b))) (* 7/360 (/ 1 (sin b))))) (* 1/6 (/ 1 (sin b))))) (/ 1 (sin b))) a)
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
(/ 1 (* (sin a) (sin b)))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (* 2 a))
(+ (cos (* 2 a)) (* -2 (* b (sin (* 2 a)))))
(+ (cos (* 2 a)) (* b (- (* -2 (* b (cos (* 2 a)))) (* 2 (sin (* 2 a))))))
(+ (cos (* 2 a)) (* b (- (* b (+ (* -2 (cos (* 2 a))) (* 4/3 (* b (sin (* 2 a)))))) (* 2 (sin (* 2 a))))))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 (- a (* -1 b))))
(cos (* 2 b))
(+ (cos (* 2 b)) (* -2 (* a (sin (* 2 b)))))
(+ (cos (* 2 b)) (* a (- (* -2 (* a (cos (* 2 b)))) (* 2 (sin (* 2 b))))))
(+ (cos (* 2 b)) (* a (- (* a (+ (* -2 (cos (* 2 b))) (* 4/3 (* a (sin (* 2 b)))))) (* 2 (sin (* 2 b))))))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (+ a b)))
(cos (* 2 (- b (* -1 a))))
(cos (* 2 (- b (* -1 a))))
(cos (* 2 (- b (* -1 a))))
(cos (* 2 (- b (* -1 a))))
(/ (* b (cos a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))
(* b (+ (* b (- (* -1 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* -1 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))) (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
(* b (+ (* b (- (+ (* -1 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* b (- (+ (* -1/2 (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* -1/6 (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a))))))) (+ (* -1 (/ (* (cos a) (cos (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (* -1 (/ (* (sin (* 2 a)) (- (* -1 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* -1 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))) (* -1 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))) (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
(* b (+ (* b (- (+ (* -1 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* b (- (+ (* -1/2 (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (+ (* -1/6 (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* b (- (* 1/3 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (+ (* -1 (/ (* (cos (* 2 a)) (- (* -1 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* -1 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (+ (* -1 (/ (* (sin (* 2 a)) (- (+ (* -1/2 (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* -1/6 (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a))))))) (+ (* -1 (/ (* (cos a) (cos (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (* -1 (/ (* (sin (* 2 a)) (- (* -1 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* -1 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* 2/3 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))))))) (+ (* -1 (/ (* (cos a) (cos (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))) (* -1 (/ (* (sin (* 2 a)) (- (* -1 (/ (sin a) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (* -1 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))) (* -1 (/ (* (cos a) (sin (* 2 a))) (pow (+ 1/2 (* 1/2 (cos (* 2 a)))) 2))))) (/ (cos a) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (- a (* -1 b))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(/ (* (cos (- a (* -1 b))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(/ (* (cos (- a (* -1 b))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(/ (* (cos (- a (* -1 b))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- a (* -1 b)))))))
(/ (* (cos b) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 b)))))
(+ (* a (- (* -1 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* -1 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))))) (/ (* (cos b) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 b))))))
(+ (* a (- (+ (* -1 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* a (- (* -1/2 (/ (* (cos b) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (+ (* -1 (/ (* (cos b) (* (cos (* 2 b)) (sin b))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (* -1 (/ (* (sin (* 2 b)) (- (* -1 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* -1 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))))) (/ (* (cos b) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 b))))))
(+ (* a (- (+ (* -1 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* a (- (+ (* -1/2 (/ (* (cos b) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* a (- (* 1/6 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (+ (* -1 (/ (* (cos (* 2 b)) (- (* -1 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* -1 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (+ (* -1 (/ (* (sin (* 2 b)) (- (* -1/2 (/ (* (cos b) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (+ (* -1 (/ (* (cos b) (* (cos (* 2 b)) (sin b))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (* -1 (/ (* (sin (* 2 b)) (- (* -1 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* -1 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 b))))))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* 2/3 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2)))))))) (+ (* -1 (/ (* (cos b) (* (cos (* 2 b)) (sin b))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))) (* -1 (/ (* (sin (* 2 b)) (- (* -1 (/ (pow (sin b) 2) (+ 1/2 (* 1/2 (cos (* 2 b)))))) (* -1 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))))) (+ 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (* (cos b) (* (sin b) (sin (* 2 b)))) (pow (+ 1/2 (* 1/2 (cos (* 2 b)))) 2))))) (/ (* (cos b) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
(/ (* (cos (- b (* -1 a))) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (- b (* -1 a)))))))
Outputs
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* a (sin b))
(*.f64 a (sin.f64 b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (fma.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))) (neg.f64 b) (neg.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
(/ (* (cos (+ a b)) (sin b)) (+ 1/2 (* 1/2 (cos (* 2 (+ a b))))))
(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal 1/2 binary64)))

rewrite443.0ms (1.1%)

Memory
80.1MiB live, 666.2MiB allocated
Rules
4 656×lower-*.f32
4 640×lower-*.f64
4 322×lower-/.f32
4 310×lower-/.f64
2 550×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055276
086195
1308173
21815173
08579173
Stop Event
iter limit
node limit
iter limit
Counts
24 → 725
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
(*.f64 b r)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) r)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 a)
(cos.f64 (+.f64 b a))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
Outputs
(exp.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) (/.f64 (sin.f64 a) #s(literal 1 binary64)))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 1 binary64)))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a))
(*.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (pow.f64 (sin.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (pow.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (pow.f64 (sin.f64 a) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (sin.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal 1 binary64)) (pow.f64 (sin.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) r)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) r)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))
(*.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 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
(*.f64 b r)
(*.f64 r b)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 (sin.f64 b) r))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))))
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))))
(pow.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))))
(/.f64 (pow.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))) (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 4 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))) (neg.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))

eval381.0ms (0.9%)

Memory
102.8MiB live, 703.1MiB allocated
Compiler

Compiled 57 015 to 5 000 computations (91.2% saved)

prune620.0ms (1.5%)

Memory
173.9MiB live, 1 104.4MiB allocated
Pruning

103 alts after pruning (98 fresh and 5 done)

PrunedKeptTotal
New1 649321 681
Fresh146680
Picked325
Done033
Total1 6661031 769
Accuracy
100.0%
Counts
1 769 → 103
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
99.4%
(/.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.4%
(/.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
29.1%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
53.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
53.3%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
57.6%
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
55.2%
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
76.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
56.8%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
76.8%
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r)))
76.6%
(/.f64 (*.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
76.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
56.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
76.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
60.1%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))))
52.9%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 (+.f64 b a))))
71.8%
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
26.6%
(*.f64 (/.f64 r (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
89.1%
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
98.9%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
34.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
76.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
53.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
44.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
64.7%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
57.0%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
57.6%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
55.3%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
56.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.5%
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))
76.6%
(*.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
56.8%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))
50.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
72.1%
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
48.6%
(*.f64 r (/.f64 (/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 b a))) (sin.f64 (+.f64 b (+.f64 b a)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
99.4%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
99.4%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (fma.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (cos.f64 (+.f64 b a)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))))))
60.7%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
58.2%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
56.4%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
46.5%
(*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
88.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
89.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 b) (sin.f64 a)))))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))))))))
85.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) (sin.f64 b)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
59.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (/ 1 (/ 1 (* (sin b) (sin a)))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
65.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (/ 1 (/ 1 (* (sin b) (sin a)))) (*.f64 a (sin.f64 b)))))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
61.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
61.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
89.1%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
98.9%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
35.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
77.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
36.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
40.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
59.7%
(*.f64 r (/.f64 #s(approx (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (*.f64 (sin.f64 b) (cos.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
52.8%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
54.0%
(*.f64 r (*.f64 (/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))))))
76.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
59.9%
(*.f64 r #s(approx (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))) (/.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
53.4%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
40.3%
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
25.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
21.4%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
21.8%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (cos (+ b a)) (* r (sin b))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) #s(literal -1 binary64)))
26.8%
(exp.f64 #s(approx (* (log (/ (cos (+ b a)) (* r (sin b)))) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))))
60.1%
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
53.4%
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
53.2%
#s(approx (* r (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))))) (/.f64 (*.f64 b (*.f64 r (cos.f64 a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
99.5%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a)))))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
53.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
52.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
53.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
53.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
53.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
38.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
25.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
26.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
26.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
36.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 4 422 to 2 731 computations (38.2% saved)

simplify183.0ms (0.5%)

Memory
46.5MiB live, 243.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
cost-diff0
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
cost-diff0
(/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b))
cost-diff704
(*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
cost-diff6464
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
cost-diff0
(cos.f64 b)
cost-diff0
#s(approx (cos (+ b a)) (cos.f64 b))
cost-diff0
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
cost-diff0
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
cost-diff0
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
cost-diff0
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
Rules
3 262×lower-fma.f32
3 252×lower-fma.f64
2 944×lower-*.f32
2 924×lower-*.f64
1 702×lower--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056397
090393
1148389
2249387
3385387
4594387
51053387
61692387
72559387
83739387
95442387
107173387
08072387
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
b
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
#s(literal 1/2 binary64)
(*.f64 r (*.f64 a a))
r
(*.f64 a a)
a
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
r
#s(approx (cos (+ b a)) (cos.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b))
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(cos.f64 a)
a
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) r)
#s(literal 1 binary64)
r
#s(literal -1 binary64)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
#s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 a a)
a
(fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 a #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r)))
b
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
#s(approx (/ r (cos a)) (fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
(fma.f64 r (*.f64 a (*.f64 a #s(literal 1/2 binary64))) r)
#s(literal 1/2 binary64)
(*.f64 r (*.f64 a a))
r
(*.f64 a a)
a
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
r
#s(approx (cos (+ b a)) (cos.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))
(/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b))
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(cos.f64 a)
a
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) r)
#s(literal 1 binary64)
r
#s(literal -1 binary64)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
#s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 a a)
a
(fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 a #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)

localize3.5s (8.6%)

Memory
82.1MiB live, 702.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19921875
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.244472509768442
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
accuracy0.32421875
(*.f64 a #s(literal 1/24 binary64))
accuracy33.28865102047904
#s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0.21484375
(/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b))
accuracy0.2890625
(*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
accuracy0.4610976173394864
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
accuracy27.766249997844806
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
accuracy0
(cos.f64 b)
accuracy0.171875
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
accuracy0.2109375
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
accuracy30.617802936462844
#s(approx (cos (+ b a)) (cos.f64 b))
accuracy0.12109375
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
accuracy9.881778688689131
(*.f64 r (*.f64 a a))
accuracy29.771978634024308
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
accuracy33.080284550691715
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
accuracy0.09994125976844202
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy0.12470629884221009
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy0.16015625
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
accuracy0.244472509768442
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
3.1s70×0valid
240.0ms186×1valid
Compiler

Compiled 306 to 50 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-mult: 3.1s (95.5% of total)
ival-cos: 47.0ms (1.4% of total)
ival-add: 24.0ms (0.7% of total)
ival-sin: 24.0ms (0.7% of total)
ival-div: 17.0ms (0.5% of total)
adjust: 15.0ms (0.5% of total)
ival-pow: 12.0ms (0.4% of total)
const: 6.0ms (0.2% of total)
ival-neg: 3.0ms (0.1% of total)
exact: 1.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.2%)

Memory
32.6MiB live, 131.5MiB allocated
Counts
24 → 624
Calls
Call 1
Inputs
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (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 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))) (patch #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))) (patch (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))) #<representation binary64>) () ())
#s(alt #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)) (patch #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (patch (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ b a)) (cos.f64 b)) (patch #s(approx (cos (+ b a)) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) (patch (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (patch (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 a a)) (patch (*.f64 r (*.f64 a a)) #<representation binary64>) () ())
#s(alt #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 a #s(literal 1/24 binary64)) (patch (*.f64 a #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 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) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 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) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 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) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (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 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor 0 b) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (patch (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (patch (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (patch (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<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) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/24 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal 1/24 binary64)) (patch (*.f64 a #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (sin a)) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (sin b)) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ())
Calls

156 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
(/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
1.0ms
r
@0
(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
1.0ms
a
@inf
(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
1.0ms
b
@inf
(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
1.0ms
a
@-inf
(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))

simplify389.0ms (1%)

Memory
99.7MiB live, 530.9MiB allocated
Algorithm
egg-herbie
Rules
11 138×lower-fma.f64
11 138×lower-fma.f32
6 972×lower-*.f64
6 972×lower-*.f32
3 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05878664
118678169
263098050
082447830
Stop Event
iter limit
node limit
Counts
624 → 621
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* 1/2 (* (pow a 2) r)))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
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(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (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) (- (* (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 a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 a)
(* 1/24 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))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))))) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 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))))
(fma.f64 (fma.f64 b (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
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(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))

rewrite395.0ms (1%)

Memory
77.8MiB live, 575.0MiB allocated
Rules
4 494×lower-/.f32
4 484×lower-/.f64
4 106×lower-*.f32
4 086×lower-*.f64
3 366×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056322
090265
1326263
22138263
08471263
Stop Event
iter limit
node limit
iter limit
Counts
24 → 509
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)))
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
#s(approx (cos (+ b a)) (cos.f64 b))
(cos.f64 b)
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b))
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 r (*.f64 a a))
#s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 a #s(literal 1/24 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
Outputs
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 (neg.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a))))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 a (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))))
(-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (neg.f64 a))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 (neg.f64 a))))
(-.f64 (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
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(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))

eval268.0ms (0.7%)

Memory
98.2MiB live, 461.3MiB allocated
Compiler

Compiled 27 734 to 2 346 computations (91.5% saved)

prune797.0ms (2%)

Memory
152.0MiB live, 961.6MiB allocated
Pruning

113 alts after pruning (106 fresh and 7 done)

PrunedKeptTotal
New1 168441 212
Fresh316293
Picked235
Done145
Total1 2021131 315
Accuracy
100.0%
Counts
1 315 → 113
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.6%
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
30.2%
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
59.8%
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
56.3%
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) r) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))
98.9%
(pow.f64 (*.f64 #s(approx (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (*.f64 (sin.f64 a) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
56.2%
(pow.f64 (*.f64 #s(approx (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
57.3%
(pow.f64 (*.f64 #s(approx (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
56.3%
(pow.f64 (*.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
99.0%
(pow.f64 #s(approx (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (neg.f64 (/.f64 (sin.f64 a) r)))) #s(literal -1 binary64))
55.8%
(pow.f64 #s(approx (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) #s(literal -1 binary64))
54.3%
(pow.f64 #s(approx (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) #s(literal -1 binary64))
56.6%
(/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
29.1%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
53.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
53.3%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
56.8%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
76.8%
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r)))
76.6%
(/.f64 (*.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
57.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
76.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
60.0%
(/.f64 (sin.f64 b) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) r))
59.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
56.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
76.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
60.0%
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) #s(literal -1 binary64)) (sin.f64 b))
71.8%
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
98.9%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
26.6%
(*.f64 (/.f64 r (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
89.1%
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
34.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
76.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
44.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
64.7%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
57.0%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) (sin.f64 b))
57.6%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
55.3%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
60.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
56.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
36.7%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
40.3%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
56.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
56.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) r)) (sin.f64 b))
76.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
76.5%
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))
76.6%
(*.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
60.1%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
56.8%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))
46.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) r)) #s(literal -1 binary64))) (sin.f64 b))
72.1%
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
48.6%
(*.f64 r (/.f64 (/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 b a))) (sin.f64 (+.f64 b (+.f64 b a)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
99.4%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
58.2%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
56.4%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
61.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
58.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
88.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
89.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (sin.f64 b) (sin.f64 a)))))))
85.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) (sin.f64 b)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
59.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (/ 1 (/ 1 (* (sin b) (sin a)))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))
53.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
61.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
61.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
26.6%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
89.1%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
35.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
77.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
54.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))))
55.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
36.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
59.7%
(*.f64 r (/.f64 #s(approx (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (*.f64 (sin.f64 b) (cos.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
52.8%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
98.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))
76.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
60.2%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)))
59.9%
(*.f64 r #s(approx (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))) (/.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
53.4%
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
25.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
21.4%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
21.8%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (cos (+ b a)) (* r (sin b))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) #s(literal -1 binary64)))
26.8%
(exp.f64 #s(approx (* (log (/ (cos (+ b a)) (* r (sin b)))) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))))
99.5%
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
53.4%
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
53.2%
#s(approx (* r (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))))) (/.f64 (*.f64 b (*.f64 r (cos.f64 a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
53.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
52.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
53.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
53.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
53.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
53.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
38.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
25.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
26.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
15.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
15.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
11.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
8.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
26.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
36.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 5 594 to 2 074 computations (62.9% saved)

regimes4.2s (10.4%)

Memory
114.8MiB live, 716.0MiB allocated
Counts
185 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
#s(approx (* r (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))))) (/.f64 (*.f64 b (*.f64 r (cos.f64 a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
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(*.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 r (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (fma.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (cos.f64 (+.f64 b a)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 b a))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
Calls

5 calls:

3.7s
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
155.0ms
r
137.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
72.0ms
a
72.0ms
b
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 34 to 24 computations (29.4% saved)

regimes407.0ms (1%)

Memory
114.5MiB live, 612.8MiB allocated
Counts
157 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(/.f64 (sin.f64 b) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
#s(approx (* r (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))))) (/.f64 (*.f64 b (*.f64 r (cos.f64 a))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 (sqrt.f64 r) (sqrt.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b a) (*.f64 a a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (cos (+ b a)) (* r (sin b))) (/.f64 (cos.f64 a) (*.f64 b r)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) #s(literal -1 binary64)) (sin.f64 b))
(pow.f64 (*.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))))
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) r) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(pow.f64 #s(approx (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(*.f64 r #s(approx (/ (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (+ 1/2 (* 1/2 (cos (* 2 (+ b a)))))) (/.f64 (*.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 #s(approx (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(*.f64 r (/.f64 #s(approx (- (* 0 (neg (cos (+ b a)))) (* (neg (cos (+ b a))) (sin b))) (*.f64 (sin.f64 b) (cos.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(/.f64 (*.f64 r (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) (sin.f64 b))
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(pow.f64 #s(approx (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 b a))) (sin.f64 (+.f64 b (+.f64 b a)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(exp.f64 #s(approx (* (log (/ (cos (+ b a)) (* r (sin b)))) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))))
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (/ 1 (/ 1 (* (sin b) (sin a)))) (*.f64 a (sin.f64 b)))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (/ 1 (/ 1 (* (sin b) (sin a)))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (cos (+ b a)) (* r (sin b))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (*.f64 (/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a)))))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Calls

5 calls:

102.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
94.0ms
b
73.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
65.0ms
a
65.0ms
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 34 to 24 computations (29.4% saved)

regimes411.0ms (1%)

Memory
77.9MiB live, 618.9MiB allocated
Counts
154 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
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(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (/ 1 (/ 1 (* (sin b) (sin a)))) (*.f64 a (sin.f64 b)))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (/ 1 (/ 1 (* (sin b) (sin a)))) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (cos (+ b a)) (* r (sin b))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ b a))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (*.f64 (/.f64 (*.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

135.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
71.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
66.0ms
a
59.0ms
b
54.0ms
r
Results
AccuracySegmentsBranch
77.0%1r
77.0%1a
77.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
77.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
77.0%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes293.0ms (0.7%)

Memory
14.6MiB live, 229.5MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
Calls

5 calls:

214.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
19.0ms
b
18.0ms
r
18.0ms
a
18.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
77.1%3b
60.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
63.2%2r
76.8%3a
77.1%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes155.0ms (0.4%)

Memory
13.3MiB live, 47.0MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (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))))
Calls

1 calls:

152.0ms
b
Results
AccuracySegmentsBranch
77.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.1%)

Memory
3.0MiB live, 36.8MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.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 (sin.f64 b)) (cos.f64 b)))
Calls

1 calls:

29.0ms
b
Results
AccuracySegmentsBranch
77.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.1%)

Memory
14.3MiB live, 80.5MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
Calls

2 calls:

16.0ms
b
16.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
77.0%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
77.0%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes87.0ms (0.2%)

Memory
25.2MiB live, 158.8MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

5 calls:

27.0ms
a
16.0ms
r
16.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
15.0ms
b
11.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
53.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.6%1r
53.6%1a
57.4%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
57.5%3b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes24.0ms (0.1%)

Memory
23.3MiB live, 56.1MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

2 calls:

14.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms
b
Results
AccuracySegmentsBranch
57.2%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
57.2%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes54.0ms (0.1%)

Memory
26.5MiB live, 94.2MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (pow (* (/ (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (sin b)) (/ 1 r)) -1) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ 1 (/ 1 (* (sin b) (sin a))))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
Outputs
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
Calls

5 calls:

23.0ms
b
11.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
6.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
r
6.0ms
a
Results
AccuracySegmentsBranch
53.4%1r
53.4%1a
53.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
53.4%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes34.0ms (0.1%)

Memory
6.5MiB live, 73.1MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Calls

5 calls:

9.0ms
a
5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
r
5.0ms
b
5.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
53.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
53.4%1r
53.4%1a
53.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.4%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes87.0ms (0.2%)

Memory
-0.6MiB live, 67.3MiB allocated
Accuracy

Total -21.7b remaining (-53.5%)

Threshold costs -21.7b (-53.5%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (neg.f64 (*.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* 1/2 (* r (* a a))) r) (*.f64 (*.f64 a a) (fma.f64 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) r (*.f64 (*.f64 r (*.f64 a a)) #s(literal 5/24 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (fma.f64 (*.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) r) (*.f64 (*.f64 b (*.f64 r (*.f64 a a))) #s(literal 5/24 binary64))) a) a (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) (neg.f64 (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a))) r))))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Calls

5 calls:

63.0ms
b
9.0ms
(/.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
a
Results
AccuracySegmentsBranch
36.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
36.5%1r
36.5%1a
36.5%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch86.0ms (0.2%)

Memory
22.8MiB live, 155.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
57.0ms
2.3109272727191452e+25
3.501433220805576e+32
25.0ms
-7.2902549810222045e-6
-2.3174279144077522e-11
Samples
52.0ms215×1valid
5.0ms73×0valid
Compiler

Compiled 447 to 302 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
adjust: 20.0ms (43% of total)
ival-cos: 11.0ms (23.7% of total)
ival-sin: 7.0ms (15.1% of total)
ival-add: 3.0ms (6.5% of total)
ival-div: 3.0ms (6.5% of total)
ival-mult: 3.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.3109272727191452e+25
3.501433220805576e+32
1.0ms
-7.2902549810222045e-6
-2.3174279144077522e-11
Compiler

Compiled 447 to 302 computations (32.4% saved)

bsearch1.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.3109272727191452e+25
3.501433220805576e+32
1.0ms
-7.2902549810222045e-6
-2.3174279144077522e-11
Compiler

Compiled 447 to 302 computations (32.4% saved)

bsearch36.0ms (0.1%)

Memory
9.5MiB live, 74.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
3.7576649553996266e+23
2.3109272727191452e+25
1.0ms
-7.2902549810222045e-6
-2.3174279144077522e-11
Samples
29.0ms110×1valid
0.0ms0valid
Compiler

Compiled 511 to 318 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 10.0ms (40.4% of total)
ival-add: 6.0ms (24.2% of total)
ival-sin: 4.0ms (16.1% of total)
adjust: 2.0ms (8.1% of total)
ival-div: 1.0ms (4% of total)
ival-mult: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch53.0ms (0.1%)

Memory
6.1MiB live, 40.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.3109272727191452e+25
3.501433220805576e+32
51.0ms
-80864.92443221752
-22234.35284323957
Samples
40.0ms34×0valid
7.0ms46×1valid
Compiler

Compiled 463 to 294 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 39.0ms (86.1% of total)
ival-cos: 3.0ms (6.6% of total)
ival-add: 1.0ms (2.2% of total)
ival-div: 1.0ms (2.2% of total)
adjust: 1.0ms (2.2% of total)
ival-mult: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch68.0ms (0.2%)

Memory
24.8MiB live, 88.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
65.0ms
1.7368288398318735e-8
3.7576649553996266e+23
0.0ms
-80864.92443221752
-22234.35284323957
Samples
38.0ms88×0valid
20.0ms88×1valid
Compiler

Compiled 383 to 254 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 6.0ms (32.3% of total)
ival-cos: 6.0ms (32.3% of total)
ival-mult: 2.0ms (10.8% of total)
ival-add: 1.0ms (5.4% of total)
ival-div: 1.0ms (5.4% of total)
adjust: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify16.0ms (0%)

Memory
1.9MiB live, 35.0MiB allocated
Algorithm
egg-herbie
Rules
36×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104484
1135484
2144484
3149484
4151484
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (*.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))))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 23999999999999999597346816 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 (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 379999999999999974834176 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -25000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -26000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 13500 binary64)) #s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (*.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))))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 23999999999999999597346816 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 (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -7201608886376209/1180591620717411303424 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 379999999999999974834176 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -25000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -25000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 23999999999999999597346816 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -26000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 13500 binary64)) #s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -26000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 13500 binary64)) #s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 r b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (/ r (cos (+ b a))) (/ 1 (sin b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

soundness4.8s (11.8%)

Memory
180.9MiB live, 1 079.7MiB allocated
Rules
10 314×lower-fma.f64
10 314×lower-fma.f32
9 408×lower-fma.f64
9 408×lower-fma.f32
8 778×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06679825
121069506
265359404
082039024
02151226
16601174
220691116
377051116
082851075
055276
086195
1308173
21815173
08579173
05597215
118076950
260466853
081736633
0822
01322
14422
223422
3198522
01021222
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 736 to 360 computations (51.1% saved)

preprocess124.0ms (0.3%)

Memory
38.9MiB live, 276.4MiB allocated
Remove

(negabs r)

Compiler

Compiled 792 to 298 computations (62.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...