rsin A (should all be same)

Time bar (total: 11.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze263.0ms (2.2%)

Memory
14.8MiB live, 525.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (15.2%)

Memory
17.2MiB live, 2 225.9MiB allocated
Samples
1.3s5 823×1valid
176.0ms2 433×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 330.0ms (29.3% of total)
ival-sin: 317.0ms (28.2% of total)
ival-mult: 158.0ms (14% of total)
adjust: 113.0ms (10% of total)
ival-add: 111.0ms (9.9% of total)
ival-div: 87.0ms (7.7% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain161.0ms (1.4%)

Memory
-11.6MiB live, 194.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
63131(1.2578695449283258e-50 6.290837995961224e+225 -4.5227427831324364e-274)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1940
Confusion
Predicted +Predicted -
+630
-13162
Precision
0.3247422680412371
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6300
-131062
Precision?
0.3247422680412371
Recall?
1.0
Freqs
test
numberfreq
062
1194
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms368×1valid
13.0ms144×0valid
Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sin: 22.0ms (35.9% of total)
ival-cos: 17.0ms (27.7% of total)
ival-add: 7.0ms (11.4% of total)
adjust: 7.0ms (11.4% of total)
ival-div: 4.0ms (6.5% of total)
ival-mult: 4.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess106.0ms (0.9%)

Memory
10.5MiB live, 47.8MiB allocated
Algorithm
egg-herbie
Rules
692×times-frac
392×associate-*r*
382×unsub-neg
370×div-sub
360×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03788
18984
219384
347884
4139984
5233884
6292584
7329984
8348184
9369884
10392784
11393384
12393384
13394184
14396184
15396984
16396984
089
0139
1179
2209
3219
0219
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Symmetry

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
01325
11725
22025
32125
02125
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize58.0ms (0.5%)

Memory
-9.5MiB live, 102.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sin.f64 b)
accuracy0.140625
(*.f64 r (sin.f64 b))
accuracy0.234375
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy13.811578966965195
(cos.f64 (+.f64 a b))
Samples
34.0ms184×1valid
12.0ms72×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 8.0ms (32.8% of total)
ival-sin: 6.0ms (24.6% of total)
adjust: 3.0ms (12.3% of total)
ival-add: 2.0ms (8.2% of total)
ival-div: 2.0ms (8.2% of total)
ival-mult: 2.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b r) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ r (* -1/6 (* (pow b 2) r)))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 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
2.0ms
r
@0
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
b
@inf
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
a
@inf
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
b
@0
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
r
@inf
(/ (* r (sin b)) (cos (+ a b)))

simplify280.0ms (2.4%)

Memory
-30.7MiB live, 420.5MiB allocated
Algorithm
egg-herbie
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
4 746×lower-*.f64
4 746×lower-*.f32
2 894×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite697.0ms (5.9%)

Memory
16.1MiB live, 449.1MiB allocated
Rules
6 510×lower-*.f32
6 508×lower-*.f64
3 846×lower-fma.f64
3 846×lower-fma.f32
3 176×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14419
223419
3205019
0844119
Stop Event
iter limit
node limit
iter limit
Counts
4 → 138
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r)))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 r (sin.f64 b))
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b))))
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r))
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b)))
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r)
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(cos.f64 (+.f64 b a))
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval39.0ms (0.3%)

Memory
-14.2MiB live, 60.9MiB allocated
Compiler

Compiled 3 974 to 536 computations (86.5% saved)

prune139.0ms (1.2%)

Memory
2.7MiB live, 170.6MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New20033233
Fresh000
Picked101
Done000
Total20133234
Accuracy
99.8%
Counts
234 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
78.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
78.2%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
78.2%
(/.f64 (*.f64 r (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))))))
78.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
78.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
62.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
49.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
65.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
47.3%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
47.4%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
47.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
47.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
78.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
78.0%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
78.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
78.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
78.2%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
78.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
78.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
78.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
78.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
78.2%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
78.1%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
38.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
47.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
65.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Compiler

Compiled 1 296 to 782 computations (39.7% saved)

simplify250.0ms (2.1%)

Memory
8.1MiB live, 130.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
cost-diff6080
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
cost-diff0
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
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 b)
cost-diff0
(/.f64 (*.f64 r b) (cos.f64 a))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Rules
2 408×lower-fma.f32
2 404×lower-fma.f64
1 624×lower-*.f32
1 610×lower-*.f64
632×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036247
062247
198247
2141247
3214247
4297247
5413247
6655247
71121247
81829247
92268247
102781247
113302247
123672247
133711247
143737247
153755247
163755247
174011247
184148247
194180247
204252247
214338247
224346247
234370247
244414247
04414247
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 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 (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
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)))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
a
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
#s(literal -1/2 binary64)
(cos.f64 b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 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 (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
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)))
#s(approx (cos (+ a b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) a)))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(-.f64 (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) a))
a
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b))
(-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
(*.f64 (cos.f64 b) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 b)

localize241.0ms (2%)

Memory
4.6MiB live, 354.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 r (sin.f64 b))
accuracy0.14453125
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
accuracy0.234375
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
accuracy28.840644658868996
#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)))
accuracy0.12109375
(*.f64 b (sin.f64 a))
accuracy0.140625
(*.f64 r (sin.f64 b))
accuracy0.234375
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
accuracy32.7907245654645
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
accuracy0.0078125
(sin.f64 b)
accuracy0.17578125
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.228847509768442
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy13.811578966965195
(cos.f64 (+.f64 b a))
accuracy0
(*.f64 r b)
accuracy0.00390625
(cos.f64 a)
accuracy0.12109375
(/.f64 (*.f64 r b) (cos.f64 a))
accuracy33.31951014087929
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
accuracy0.07421875
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy0.137555934065628
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy0.140625
(*.f64 r (sin.f64 b))
accuracy0.234375
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
166.0ms184×1valid
24.0ms72×0valid
Compiler

Compiled 201 to 33 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-cos: 37.0ms (28.9% of total)
ival-sin: 30.0ms (23.5% of total)
ival-mult: 27.0ms (21.1% of total)
adjust: 12.0ms (9.4% of total)
ival-div: 9.0ms (7% of total)
ival-add: 8.0ms (6.3% of total)
ival-sub: 4.0ms (3.1% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series205.0ms (1.7%)

Memory
-13.8MiB live, 78.3MiB allocated
Counts
20 → 540
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (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 (*.f64 r b) (cos.f64 a))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 r b) (cos.f64 a)) (patch (/.f64 (*.f64 r b) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (*.f64 r b) (patch (*.f64 r b) #<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 (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (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 (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 a) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
154.0ms
b
@inf
(/ r (cos (+ b a)))
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
4.0ms
r
@0
(/ (* r b) (cos a))
3.0ms
b
@-inf
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
2.0ms
a
@inf
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))

simplify281.0ms (2.4%)

Memory
24.0MiB live, 399.6MiB allocated
Algorithm
egg-herbie
Rules
7 696×lower-*.f64
7 696×lower-*.f32
7 592×lower-fma.f64
7 592×lower-fma.f32
2 282×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04336074
113845833
247105732
083605517
Stop Event
iter limit
node limit
Counts
540 → 533
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* 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))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (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))))
(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)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos 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))))
(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))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* a b)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos 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 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 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 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (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)))))
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(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 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 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (fma.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)))))))) (/.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)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* a b)
(*.f64 b a)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(*.f64 a (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) b))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) b))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 b #s(literal -1/6 binary64))) b))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 a (fma.f64 (sin.f64 b) (*.f64 a #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.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 (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 a)
(*.f64 a #s(literal -1/2 binary64))
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(fma.f64 b (*.f64 b (*.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b a)) #s(literal -1/48 binary64) (*.f64 a #s(literal 1/4 binary64))) b) b (*.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -1/48 binary64) (*.f64 (*.f64 b (*.f64 b a)) #s(literal 1/1440 binary64))) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))

rewrite301.0ms (2.5%)

Memory
-27.9MiB live, 385.9MiB allocated
Rules
5 078×lower-*.f32
5 064×lower-*.f64
4 660×lower-/.f32
4 650×lower-/.f64
3 252×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036180
062194
1225166
21451166
08799166
Stop Event
iter limit
node limit
iter limit
Counts
20 → 479
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(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 (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 b (sin.f64 a))
#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 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(pow.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) r)
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -1 binary64))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64))
(*.f64 b (sin.f64 a))
(*.f64 (sin.f64 a) b)
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a))
(*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) a)
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))
(*.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64))

eval201.0ms (1.7%)

Memory
19.1MiB live, 279.1MiB allocated
Compiler

Compiled 25 869 to 1 715 computations (93.4% saved)

prune298.0ms (2.5%)

Memory
27.3MiB live, 556.6MiB allocated
Pruning

63 alts after pruning (60 fresh and 3 done)

PrunedKeptTotal
New1 094441 138
Fresh121628
Picked235
Done000
Total1 108631 171
Accuracy
100.0%
Counts
1 171 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
78.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
98.1%
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
66.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
98.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))
78.1%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (cos.f64 (-.f64 a b))))
98.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
98.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
78.2%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
78.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
62.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
65.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
58.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (*.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))))))
29.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
35.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
47.3%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
78.2%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
47.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
33.0%
(/.f64 #s(approx (* r (sin b)) (*.f64 r 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))))
49.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
47.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
78.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
78.0%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
78.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
98.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))
78.2%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
98.4%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
78.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
78.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
98.6%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
43.2%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
78.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
78.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
68.1%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
62.6%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
65.1%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
51.5%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
78.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
78.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
78.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
98.5%
(*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
78.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
48.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
78.1%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
38.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
47.9%
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
47.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
32.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
32.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
47.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
47.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
29.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
34.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Compiler

Compiled 3 075 to 1 701 computations (44.7% saved)

simplify194.0ms (1.6%)

Memory
-29.5MiB live, 371.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))
cost-diff13824
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
cost-diff0
(cos.f64 a)
cost-diff0
#s(approx (cos (+ b a)) (cos.f64 a))
cost-diff0
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))
cost-diff0
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
cost-diff0
(*.f64 r b)
cost-diff0
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
cost-diff0
(sin.f64 (neg.f64 b))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
cost-diff0
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Rules
5 286×lower-fma.f32
5 284×lower-fma.f64
4 030×lower-*.f32
4 014×lower-*.f64
2 762×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042237
067219
1106219
2205219
3466219
41203219
51754219
62799219
74031219
87236219
08171219
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(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)
b
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
(sin.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))
r
#s(approx (cos (+ b a)) (cos.f64 a))
(cos.f64 a)
a
(sin.f64 b)
b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
(cos.f64 (+.f64 b a))
(+.f64 b a)
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(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)
b
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
(sin.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))
r
#s(approx (cos (+ b a)) (cos.f64 a))
(cos.f64 a)
a
(sin.f64 b)
b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
r
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
(cos.f64 (+.f64 b a))
(+.f64 b a)

localize213.0ms (1.8%)

Memory
17.6MiB live, 416.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
accuracy0.324882519536884
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
accuracy13.591412273262039
(cos.f64 (-.f64 a b))
accuracy13.811578966965197
(cos.f64 (+.f64 b a))
accuracy0.171875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
accuracy0.18359375
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
accuracy0.2109375
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
accuracy13.811578966965197
(cos.f64 (+.f64 b a))
accuracy0.0078125
(sin.f64 b)
accuracy0.17578125
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))
accuracy0.228847509768442
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
accuracy31.146934850809323
#s(approx (cos (+ b a)) (cos.f64 a))
accuracy0
(*.f64 r b)
accuracy19.43176263747529
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
accuracy33.31951014087929
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
accuracy0.07421875
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy0.137555934065628
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy0.17578125
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
accuracy0.228847509768442
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Samples
144.0ms184×1valid
23.0ms72×0valid
Compiler

Compiled 218 to 36 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-cos: 42.0ms (32.8% of total)
ival-sin: 23.0ms (18% of total)
ival-mult: 23.0ms (18% of total)
ival-div: 20.0ms (15.6% of total)
adjust: 11.0ms (8.6% of total)
ival-add: 6.0ms (4.7% of total)
ival-sub: 2.0ms (1.6% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory
13.4MiB live, 90.3MiB allocated
Counts
22 → 588
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.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 (sin.f64 (neg.f64 b)) (patch (sin.f64 (neg.f64 b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* r b) (cos a)) (*.f64 r b)) (patch #s(approx (/ (* r b) (cos a)) (*.f64 r b)) #<representation binary64>) () ())
#s(alt (*.f64 r b) (patch (*.f64 r b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (patch (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ b a)) (cos.f64 a)) (patch #s(approx (cos (+ b a)) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.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 (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.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 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.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 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.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 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.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 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.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 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (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 (* 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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (pow (cos a) 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))))) (pow (cos a) 4))) (/ r (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2))))) (pow (cos a) 6))) (+ (/ (* r (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a))))))) (pow (cos a) 4)) (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (pow (cos a) 2)))))) (* -1/6 (/ r (pow (cos a) 2)))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ())
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#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 (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ 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) (* 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))) (* -1 (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))))) (* -1 (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>) () ())) ())
#s(alt (* (cos b) (cos (neg b))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (pow (cos a) 2) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2)) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2)) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2)) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
10.0ms
a
@0
(/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
2.0ms
a
@0
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))
1.0ms
b
@0
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))
1.0ms
r
@0
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))
1.0ms
r
@-inf
(/ 1 (/ 1 r))

simplify339.0ms (2.8%)

Memory
-37.7MiB live, 407.1MiB allocated
Algorithm
egg-herbie
Rules
10 214×lower-fma.f64
10 214×lower-fma.f32
7 278×lower-*.f64
7 278×lower-*.f32
3 480×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06457994
122077405
081727125
Stop Event
iter limit
node limit
Counts
588 → 575
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (cos b))
(+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(* -1 b)
(* b (- (* 1/6 (pow b 2)) 1))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(sin (neg b))
(sin (neg b))
(sin (neg b))
(sin (neg b))
(sin (* -1 b))
(sin (* -1 b))
(sin (* -1 b))
(sin (* -1 b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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1
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r
r
r
r
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r
r
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b
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(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))))
(/ (* r (sin b)) (* (cos b) (cos (neg b))))
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))) (/ (* r (sin b)) (* (cos b) (cos (neg b)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (* (cos b) (cos (neg b))))) (/ (* r (* (sin b) (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b)))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b)))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(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))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (neg b))
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(* (cos b) (cos (neg b)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(pow (cos a) 2)
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (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 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (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 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (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 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (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 (sin.f64 (neg.f64 b)) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 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 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 a (fma.f64 (fma.f64 r (*.f64 (neg.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 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) (neg.f64 a) (fma.f64 (sin.f64 (neg.f64 b)) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
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(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 r b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
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(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 b (*.f64 b (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (sin.f64 a)) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos b)
(cos.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 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.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 (neg b))
(cos.f64 b)
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(fma.f64 (sin.f64 b) a (cos.f64 b))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* b (sin a)))
(fma.f64 b (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(* (cos b) (cos (neg b)))
(pow.f64 (cos.f64 b) #s(literal 2 binary64))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))
(fma.f64 a (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (fma.f64 a (-.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b))))) (-.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(fma.f64 b #s(literal 0 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (neg.f64 b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 (sin.f64 a) #s(literal 1/2 binary64)) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (sin.f64 a)))) #s(literal -1 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))

rewrite303.0ms (2.6%)

Memory
23.3MiB live, 378.0MiB allocated
Rules
5 014×lower-/.f32
5 002×lower-/.f64
4 834×lower-*.f32
4 818×lower-*.f64
1 902×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042192
067198
1224163
21554163
08510163
Stop Event
iter limit
node limit
iter limit
Counts
22 → 797
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))
#s(approx (cos (+ b a)) (cos.f64 a))
(cos.f64 a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))
(*.f64 r (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 a b))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (sin.f64 b) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (sin.f64 b) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(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 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.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 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.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) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 b 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 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (neg.f64 (sin.f64 (neg.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) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.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 (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b)))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.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 (*.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 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) r))
(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 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (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 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) r)
(*.f64 (/.f64 r (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 r))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 r (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
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(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.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 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.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 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (cos.f64 (+.f64 b a))))
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 b a)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(fma.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (-.f64 a b))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (-.f64 a b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1/2 binary64))

eval231.0ms (1.9%)

Memory
9.0MiB live, 426.5MiB allocated
Compiler

Compiled 37 834 to 2 788 computations (92.6% saved)

prune424.0ms (3.6%)

Memory
0.9MiB live, 625.5MiB allocated
Pruning

74 alts after pruning (69 fresh and 5 done)

PrunedKeptTotal
New1 555321 587
Fresh183755
Picked235
Done123
Total1 576741 650
Accuracy
100.0%
Counts
1 650 → 74
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
78.1%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
78.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
66.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
98.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))
98.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
62.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
65.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
29.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
35.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
47.3%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
78.1%
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))
78.2%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
51.4%
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r))
47.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
49.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
78.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
78.0%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
78.1%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
98.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))
99.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) (cos.f64 (-.f64 a b)))
99.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (cos.f64 (-.f64 a b)))
64.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b)))
51.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a)))
51.1%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
54.2%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b)))
99.3%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
78.1%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r)))
73.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
78.2%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
65.0%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
51.4%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
66.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
52.2%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
98.6%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
43.2%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
78.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
78.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
68.1%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
62.6%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
65.1%
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
51.5%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
47.4%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
47.5%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b)))
38.3%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
51.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b))
98.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
51.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b))
78.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
78.1%
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
98.5%
(*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
78.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b)))
78.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
78.1%
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b)))
48.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
39.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b))
51.4%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
47.9%
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
32.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
32.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
47.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
47.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
34.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
29.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
34.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Compiler

Compiled 3 055 to 1 803 computations (41% saved)

simplify207.0ms (1.7%)

Memory
4.6MiB live, 238.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 b))
cost-diff256
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
cost-diff6464
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
cost-diff7040
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
cost-diff0
#s(approx (cos (+ b a)) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a)))
cost-diff0
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
cost-diff0
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
cost-diff0
(*.f64 (cos.f64 a) (cos.f64 b))
cost-diff0
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
cost-diff0
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Rules
11 602×lower-fma.f32
11 600×lower-fma.f64
2 334×lower-*.f32
2 316×lower-*.f64
1 440×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046267
073252
1116249
2217248
3432247
41201247
52249247
63705247
75646247
86869247
97243247
107415247
117577247
08064247
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
b
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 b)
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(*.f64 r b)
r
b
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (cos (+ b a)) (cos.f64 a))
(cos.f64 a)
a
r
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.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) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.f64 b)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
#s(literal -1 binary64)
(sin.f64 b)
b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(neg.f64 r)
r
Outputs
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
b
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 b)
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 (*.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 (*.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 (*.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(*.f64 r b)
r
b
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (cos (+ b a)) (cos.f64 a))
(cos.f64 a)
a
r
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(+.f64 b a)
(+.f64 a b)
b
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.f64 b)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(sin.f64 (neg.f64 b))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
#s(literal -1 binary64)
(sin.f64 b)
b
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))
(cos.f64 (+.f64 b a))
(cos.f64 (+.f64 a b))
(+.f64 b a)
(+.f64 a b)
a
(neg.f64 r)
r

localize237.0ms (2%)

Memory
-3.8MiB live, 398.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.228847509768442
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
accuracy0.26171875
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
accuracy0.2734375
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
accuracy13.811578966965197
(cos.f64 (+.f64 b a))
accuracy0.17578125
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.228847509768442
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
accuracy13.811578966965197
(cos.f64 (+.f64 b a))
accuracy0.0078125
(sin.f64 b)
accuracy0.18359375
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
accuracy0.2109375
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a)))
accuracy31.146934850809323
#s(approx (cos (+ b a)) (cos.f64 a))
accuracy0
(*.f64 a a)
accuracy6.20698299931871
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
accuracy24.46705317121534
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
accuracy33.31951014087929
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
accuracy0.10222626953688403
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
accuracy0.17578125
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy0.20703125
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.228847509768442
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Samples
161.0ms184×1valid
23.0ms72×0valid
Compiler

Compiled 233 to 41 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-cos: 40.0ms (27.4% of total)
ival-mult: 26.0ms (17.8% of total)
ival-div: 22.0ms (15.1% of total)
ival-pow: 19.0ms (13% of total)
ival-sin: 16.0ms (11% of total)
adjust: 13.0ms (8.9% of total)
ival-add: 6.0ms (4.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series91.0ms (0.8%)

Memory
-16.8MiB live, 60.0MiB allocated
Counts
22 → 576
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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 #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) (patch #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ b a)) (cos.f64 a)) (patch #s(approx (cos (+ b a)) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (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 a a) (patch (*.f64 a a) #<representation binary64>) () ())
Outputs
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.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 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.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 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1/6 (pow b 2)) 1) b) (taylor 0 b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) (taylor 0 b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) (taylor 0 b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin b)) (taylor -inf b) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 b)) #<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>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
Calls

144 calls:

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

simplify362.0ms (3%)

Memory
10.2MiB live, 328.4MiB allocated
Algorithm
egg-herbie
Rules
7 862×lower-fma.f64
7 862×lower-fma.f32
7 740×lower-*.f64
7 740×lower-*.f32
2 270×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04357369
114127044
247816965
083166703
Stop Event
iter limit
node limit
Counts
576 → 574
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* 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 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 (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin 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) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (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 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) (* -1/2 (* (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))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* 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))))
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1
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b
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(/ (* 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 b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) 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))
(* 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))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 b) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b 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 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (*.f64 b (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 r (sin.f64 b)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 b) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b))) (neg.f64 a) (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b)))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(+ (* 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)))
(fma.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))
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(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #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 (*.f64 a a) #s(literal -1/5040 binary64) #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))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

rewrite308.0ms (2.6%)

Memory
24.0MiB live, 335.8MiB allocated
Rules
3 948×lower-/.f32
3 936×lower-/.f64
3 728×lower-*.f32
3 712×lower-*.f64
3 000×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046208
073168
1246166
21471166
09186166
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 133
Calls
Call 1
Inputs
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a)))
(sin.f64 b)
#s(approx (cos (+ b a)) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.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 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 a a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 b)) (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 r (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 r (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 (neg.f64 r) #s(literal -1 binary64))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 r) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) #s(literal -1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 r) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b)))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (neg.f64 r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (+.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a 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) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 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) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
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(*.f64 (/.f64 (/.f64 r (+.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) (sin.f64 b))) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 r (+.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)) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 r (+.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)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (cos.f64 (+.f64 a b)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b)))
(*.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 b))))
(exp.f64 (*.f64 (neg.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)))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 b))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(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 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 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))
(*.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 (/.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)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal -2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -2 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -2 binary64)))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64))))
(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) (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) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.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 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 a b)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #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 (sin.f64 a)))
(*.f64 (sin.f64 b) (/.f64 (sin.f64 a) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (/.f64 (sin.f64 a) #s(literal -1 binary64)))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.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) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))

eval416.0ms (3.5%)

Memory
7.2MiB live, 403.6MiB allocated
Compiler

Compiled 47 204 to 3 536 computations (92.5% saved)

prune603.0ms (5.1%)

Memory
-30.7MiB live, 629.4MiB allocated
Pruning

97 alts after pruning (89 fresh and 8 done)

PrunedKeptTotal
New2 008422 050
Fresh174764
Picked235
Done055
Total2 027972 124
Accuracy
100.0%
Counts
2 124 → 97
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
78.1%
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
17.2%
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
78.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
66.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
98.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))
98.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
17.2%
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
20.9%
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))))
62.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
65.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
35.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
47.3%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
78.1%
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))
78.2%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
51.4%
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r))
47.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
49.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
78.2%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
51.4%
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r))
78.0%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
99.3%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
17.2%
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
20.9%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r)
98.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))
77.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b)))
99.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) (cos.f64 (-.f64 a b)))
64.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b)))
51.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a)))
51.1%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
54.2%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b)))
99.3%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
17.2%
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
20.9%
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r)
73.4%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
62.5%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
65.0%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r)
51.4%
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
17.2%
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
17.2%
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b))
47.5%
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r)
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
99.4%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
78.4%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
98.6%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
77.9%
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b))
78.2%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b))
99.4%
(*.f64 (/.f64 r (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) (sin.f64 b))
60.6%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 a)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
66.4%
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
52.2%
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
48.1%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
47.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
78.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
68.1%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
65.1%
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b))
51.5%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
47.4%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
38.3%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
78.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
51.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r)
51.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b))
98.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
51.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b))
17.2%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
20.9%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
98.5%
(*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
77.8%
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b))
77.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
78.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
51.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r)
20.9%
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a))))
78.2%
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))))
48.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
39.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b))
47.9%
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
1.5%
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b))))
32.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
33.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
32.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
47.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
47.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
34.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
28.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
29.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
13.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
34.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
11.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
Compiler

Compiled 4 751 to 1 699 computations (64.2% saved)

regimes244.0ms (2%)

Memory
5.6MiB live, 278.1MiB allocated
Counts
152 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 a)))) (sin.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (*.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))))
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
Calls

4 calls:

65.0ms
b
65.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
55.0ms
r
51.0ms
a
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes255.0ms (2.1%)

Memory
-15.6MiB live, 190.3MiB allocated
Counts
125 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b)))
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (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 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r)
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a 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))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b))
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 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)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r)))
(/.f64 (*.f64 r (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))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Calls

4 calls:

79.0ms
b
67.0ms
r
62.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
42.0ms
a
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes255.0ms (2.1%)

Memory
22.7MiB live, 181.2MiB allocated
Counts
124 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b)))
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (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 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r)
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a 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))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b))
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 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)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r)))
(/.f64 (*.f64 r (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))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
Calls

4 calls:

101.0ms
a
81.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
35.0ms
r
32.0ms
b
Results
AccuracySegmentsBranch
78.4%1r
78.4%1a
78.4%1b
78.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes295.0ms (2.5%)

Memory
8.2MiB live, 283.0MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b)))
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (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 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r)
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a 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))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b))
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 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)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r)))
(/.f64 (*.f64 r (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))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b))))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

4 calls:

127.0ms
b
69.0ms
a
58.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
36.0ms
r
Results
AccuracySegmentsBranch
78.3%1r
78.3%1b
78.3%1a
78.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes73.0ms (0.6%)

Memory
-24.5MiB live, 99.2MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b)))
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (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 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Calls

4 calls:

24.0ms
b
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms
a
11.0ms
r
Results
AccuracySegmentsBranch
78.3%3a
65.1%1r
65.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.5%3b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b)))
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (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 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
78.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes103.0ms (0.9%)

Memory
-6.8MiB live, 74.2MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b)))
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
Outputs
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
Calls

4 calls:

43.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
43.0ms
b
8.0ms
a
8.0ms
r
Results
AccuracySegmentsBranch
47.9%1r
47.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
47.9%1a
51.9%3b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes44.0ms (0.4%)

Memory
-7.0MiB live, 32.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Calls

3 calls:

34.0ms
b
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
r
Results
AccuracySegmentsBranch
47.9%1r
47.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
47.9%1b
Compiler

Compiled 20 to 14 computations (30% saved)

regimes49.0ms (0.4%)

Memory
-7.4MiB live, 32.2MiB allocated
Accuracy

Total -15.7b remaining (-37.5%)

Threshold costs -15.7b (-37.5%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 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))) (/.f64 (*.f64 r 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)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b))))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Calls

4 calls:

38.0ms
b
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
a
3.0ms
r
Results
AccuracySegmentsBranch
34.4%1a
34.4%1b
34.4%1r
34.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch216.0ms (1.8%)

Memory
10.2MiB live, 90.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
99.0ms
5.0645069319793314e-21
2.026848180598591e-20
114.0ms
-1.31673625802933e+20
-2.7411342155031596e-15
Samples
193.0ms130×1valid
9.0ms142×0valid
Compiler

Compiled 406 to 269 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-cos: 96.0ms (88.6% of total)
ival-sin: 3.0ms (2.8% of total)
ival-add: 2.0ms (1.8% of total)
ival-div: 2.0ms (1.8% of total)
adjust: 2.0ms (1.8% of total)
ival-mult: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
5.0645069319793314e-21
2.026848180598591e-20
1.0ms
-1.31673625802933e+20
-2.7411342155031596e-15
Compiler

Compiled 406 to 269 computations (33.7% saved)

bsearch70.0ms (0.6%)

Memory
-24.0MiB live, 135.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2481388529256.668
316624308307553.25
43.0ms
-1.4964530406108298e+22
-1.31673625802933e+20
Samples
55.0ms204×1valid
2.0ms20×0valid
Compiler

Compiled 337 to 224 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sin: 25.0ms (50.3% of total)
ival-cos: 11.0ms (22.1% of total)
ival-add: 5.0ms (10.1% of total)
ival-div: 3.0ms (6% of total)
adjust: 3.0ms (6% of total)
ival-mult: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064255
187255
299255
3106255
4110255
5111255
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -580000000000000000000 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 5500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
Outputs
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -580000000000000000000 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 5500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -580000000000000000000 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 5500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

soundness876.0ms (7.4%)

Memory
1.3MiB live, 1 040.1MiB allocated
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
10 214×lower-fma.f64
10 214×lower-fma.f32
7 696×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06457994
122077405
081727125
04336074
113845833
247105732
083605517
0167960
1517928
21595886
35409885
08292853
036180
062194
1225166
21451166
08799166
046208
073168
1246166
21471166
09186166
0819
01319
14419
223419
3205019
0844119
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 555 to 270 computations (51.4% saved)

preprocess75.0ms (0.6%)

Memory
1.5MiB live, 199.7MiB allocated
Remove

(negabs r)

Compiler

Compiled 504 to 214 computations (57.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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