rsin B (should all be same)

Time bar (total: 14.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze372.0ms (2.7%)

Memory
7.1MiB live, 417.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.9s (13.8%)

Memory
-8.0MiB live, 2 604.2MiB allocated
Samples
1.4s5 772×1valid
216.0ms2 484×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sin: 375.0ms (32.2% of total)
ival-cos: 323.0ms (27.8% of total)
ival-add: 151.0ms (13% of total)
adjust: 110.0ms (9.5% of total)
ival-mult: 100.0ms (8.6% of total)
ival-div: 93.0ms (8% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain135.0ms (1%)

Memory
16.3MiB live, 245.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
71122(-8.910876714653629e-102 4.6865790629854954e-185 -1.3017228430151202e+211)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1930
Confusion
Predicted +Predicted -
+710
-12263
Precision
0.36787564766839376
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-122063
Precision?
0.36787564766839376
Recall?
1.0
Freqs
test
numberfreq
063
1193
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms360×1valid
11.0ms152×0valid
Compiler

Compiled 103 to 36 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 16.0ms (33% of total)
ival-sin: 11.0ms (22.7% of total)
adjust: 6.0ms (12.4% of total)
ival-mult: 6.0ms (12.4% of total)
ival-add: 5.0ms (10.3% of total)
ival-div: 4.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess103.0ms (0.7%)

Memory
16.5MiB live, 53.8MiB allocated
Algorithm
egg-herbie
Rules
654×times-frac
520×associate-*r*
518×unsub-neg
466×distribute-rgt-in
464×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize63.0ms (0.5%)

Memory
14.0MiB live, 121.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 b)
accuracy0.16015625
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.25228500976844204
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy15.41253794755087
(cos.f64 (+.f64 a b))
Samples
42.0ms180×1valid
13.0ms76×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 12.0ms (32.2% of total)
ival-cos: 11.0ms (29.5% of total)
ival-add: 6.0ms (16.1% of total)
adjust: 3.0ms (8% of total)
ival-mult: 3.0ms (8% of total)
ival-div: 2.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-7.0MiB live, 30.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))>
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>
Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(* r (/ (sin b) (cos (+ a b))))
2.0ms
a
@inf
(/ (sin b) (cos (+ a b)))
2.0ms
r
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
r
@inf
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@0
(* r (/ (sin b) (cos (+ a b))))

simplify307.0ms (2.2%)

Memory
-14.5MiB live, 472.1MiB allocated
Algorithm
egg-herbie
Rules
9 408×lower-fma.f64
9 408×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
2 876×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite325.0ms (2.3%)

Memory
18.6MiB live, 460.0MiB allocated
Rules
6 400×lower-*.f32
6 398×lower-*.f64
4 812×lower-/.f32
4 810×lower-/.f64
3 770×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
14422
223422
3198522
01021222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
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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 (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))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.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 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 a b)) (cos.f64 (+.f64 b a))))))
(/.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 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))))
(/.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 a b)) (cos.f64 (+.f64 b a)))))) #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 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))))
(/.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 a b)) (cos.f64 (+.f64 b a))))) #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 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 a b))))))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval31.0ms (0.2%)

Memory
-18.0MiB live, 64.7MiB allocated
Compiler

Compiled 4 900 to 748 computations (84.7% saved)

prune53.0ms (0.4%)

Memory
-6.1MiB live, 110.5MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New22233255
Fresh000
Picked101
Done000
Total22333256
Accuracy
99.8%
Counts
256 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
75.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
75.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
75.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
75.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
75.5%
(*.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)))
75.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
75.8%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
75.3%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.6%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
75.8%
(*.f64 r (/.f64 (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))))))
56.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
56.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
53.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
53.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
58.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
55.1%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
55.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
55.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
75.8%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
75.8%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
40.6%
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))))
55.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
39.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
56.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
55.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 1 254 to 766 computations (38.9% saved)

simplify365.0ms (2.6%)

Memory
-4.5MiB live, 236.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
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
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
cost-diff1088
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 b (/.f64 r (cos.f64 a)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff320
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
cost-diff6016
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
4 728×lower-fma.f32
4 724×lower-fma.f64
2 680×lower-*.f32
2 664×lower-*.f64
2 424×lower-/.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
037265
064261
1105259
2161259
3304259
4535259
5929259
61573255
72503255
83488255
94368255
105468255
116184255
126360255
136432255
147078255
157522255
167864255
177900255
187924255
197924255
207924255
217924255
08847255
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
r
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (sin.f64 b))
r
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 (*.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))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (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))))
(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)

localize195.0ms (1.4%)

Memory
15.0MiB live, 243.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
accuracy0.16015625
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
accuracy0.25228500976844204
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
accuracy35.1712833273219
#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)))
accuracy0.1796875
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy0.234375
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
accuracy0.2734375
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
accuracy15.412537947550877
(cos.f64 (+.f64 b a))
accuracy0
(sin.f64 b)
accuracy0.16015625
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.1640625
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy15.412537947550877
(cos.f64 (+.f64 b a))
accuracy0
(cos.f64 a)
accuracy0.07421875
(*.f64 b (/.f64 r (cos.f64 a)))
accuracy0.11328125
(/.f64 r (cos.f64 a))
accuracy28.40294931109503
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
accuracy0.12745842429718598
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy0.16015625
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
accuracy0.1953125
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy0.25228500976844204
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Samples
125.0ms180×1valid
20.0ms76×0valid
Compiler

Compiled 222 to 36 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-cos: 35.0ms (30.8% of total)
ival-mult: 24.0ms (21.1% of total)
ival-div: 18.0ms (15.8% of total)
ival-sin: 15.0ms (13.2% of total)
adjust: 10.0ms (8.8% of total)
ival-add: 8.0ms (7% of total)
ival-sub: 2.0ms (1.8% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series297.0ms (2.1%)

Memory
-134.2MiB live, 86.2MiB allocated
Counts
21 → 564
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))>
#<alt (*.f64 b (/.f64 r (cos.f64 a)))>
#<alt (/.f64 r (cos.f64 a))>
#<alt (cos.f64 a)>
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))>
#<alt (/.f64 r (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))>
#<alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))>
#<alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))>
#<alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
#<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)))>
#<alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))>
Outputs
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
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#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 a)>
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
Calls

141 calls:

TimeVariablePointExpression
8.0ms
a
@0
(* (sin b) (sin a))
7.0ms
a
@0
(/ r (cos a))
4.0ms
b
@-inf
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))
2.0ms
b
@inf
(/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
2.0ms
r
@0
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))

simplify443.0ms (3.2%)

Memory
-2.7MiB live, 553.0MiB allocated
Algorithm
egg-herbie
Rules
8 560×lower-fma.f64
8 560×lower-fma.f32
7 918×lower-*.f64
7 918×lower-*.f32
2 120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05077055
116236789
253746709
085006468
Stop Event
iter limit
node limit
Counts
564 → 556
Calls
Call 1
Inputs
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
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(+ (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
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 b (*.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) 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 (fma.f64 a (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 r) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
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(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
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(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 b (*.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
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(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
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(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
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(* a (sin b))
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(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
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(* (sin a) (sin b))
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(* (sin a) (sin b))
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(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (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 a (fma.f64 a (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
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(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 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 a)
(*.f64 a #s(literal -1/2 binary64))
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(fma.f64 a (*.f64 (*.f64 b b) #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 b b) (fma.f64 b (*.f64 b (*.f64 a #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64))) (*.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 (*.f64 (*.f64 b b) #s(literal 1/1440 binary64)) (*.f64 a #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(* -1/2 (* a (cos b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))

rewrite460.0ms (3.3%)

Memory
2.6MiB live, 557.5MiB allocated
Rules
4 162×lower-fma.f32
4 158×lower-fma.f64
4 150×lower-/.f32
4 136×lower-/.f64
3 858×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037204
064179
1224177
21393177
08454177
Stop Event
iter limit
node limit
iter limit
Counts
21 → 915
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 (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 (sin.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)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 r (neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 r (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 r (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 r #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 r) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 r) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
(/.f64 (neg.f64 (*.f64 r #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.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 b a))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (neg.f64 r) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (*.f64 (sin.f64 b) r)))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r)) (neg.f64 (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))))
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (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 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
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(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1/2 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) #s(literal -1 binary64))
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))
(*.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)))
(*.f64 a (*.f64 (cos.f64 b) #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))

eval306.0ms (2.2%)

Memory
34.8MiB live, 531.6MiB allocated
Compiler

Compiled 41 284 to 3 240 computations (92.2% saved)

prune420.0ms (3%)

Memory
-13.2MiB live, 798.1MiB allocated
Pruning

81 alts after pruning (79 fresh and 2 done)

PrunedKeptTotal
New1 766721 838
Fresh21728
Picked325
Done000
Total1 790811 871
Accuracy
100.0%
Counts
1 871 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
75.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
75.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
75.7%
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
75.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
75.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
75.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
48.5%
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
54.1%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.8%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
98.8%
(*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b))
98.8%
(*.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))) (/.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b))
75.8%
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b))
75.8%
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
68.8%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
75.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
55.1%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
55.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
43.7%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
65.9%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
56.3%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))
53.7%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
57.2%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
56.4%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
59.0%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))) (/.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
68.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
75.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
75.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
38.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))))
55.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
58.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
45.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
75.3%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
27.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
27.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal 0 binary64))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
86.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
59.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a))))))
59.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
66.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a)))))))
57.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.8%
(*.f64 r (/.f64 (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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))
53.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
58.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
30.9%
(*.f64 r (/.f64 (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 (*.f64 a 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)))))))
35.6%
(*.f64 r (/.f64 (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)))))))
36.1%
(*.f64 r (/.f64 (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))))))
12.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
53.6%
(*.f64 r (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
55.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
40.6%
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))))
55.5%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
39.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
56.5%
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
99.5%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
55.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
55.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
55.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
55.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
55.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
27.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
28.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
30.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
35.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 3 321 to 2 044 computations (38.5% saved)

simplify235.0ms (1.7%)

Memory
18.6MiB live, 334.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
cost-diff0
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
cost-diff0
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))
cost-diff6080
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
cost-diff0
(neg.f64 (cos.f64 (+.f64 b a)))
cost-diff0
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff640
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
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))) #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)))
cost-diff0
(*.f64 b r)
cost-diff0
#s(approx (* b (/ r (cos a))) (*.f64 b r))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
cost-diff1088
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
Rules
5 176×lower-fma.f32
5 166×lower-fma.f64
2 604×lower-*.f32
2 584×lower-*.f64
1 902×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055389
094377
1163367
2311365
3743365
41813365
53311365
65172365
76519365
87638365
08389365
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 a)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
#s(literal 1 binary64)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
(*.f64 b r)
b
r
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
#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))
(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)
(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 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 b #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
#s(literal 1 binary64)
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))
(neg.f64 (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(neg.f64 r)
r
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
r
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
b
(-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a))
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))
(cos.f64 a)
a
(*.f64 b #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 a)
(sin.f64 b)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
#s(literal 1 binary64)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 b r)
(*.f64 r b)
b
r
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
#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))
#s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) 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)
(fma.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(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))
(fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 b #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))
(neg.f64 (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(neg.f64 r)
r
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))))
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 r #s(approx (cos (+ b a)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))))
r
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
#s(approx (cos (+ b a)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))
b
(-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a))
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(cos.f64 a)
a
(*.f64 b #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 a)
(sin.f64 b)

localize380.0ms (2.7%)

Memory
-11.4MiB live, 476.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))
accuracy0.16015625
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
accuracy0.1640625
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))
accuracy28.347181410288094
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
accuracy0.2265625
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy0.234375
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))
accuracy0.40555047450390114
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
accuracy15.412537947550877
(cos.f64 (+.f64 b a))
accuracy0.16015625
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy0.1640625
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
accuracy15.412537947550877
(cos.f64 (+.f64 b a))
accuracy28.385440917558604
#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))
accuracy0
(*.f64 b r)
accuracy26.631943828152778
#s(approx (* b (/ r (cos a))) (*.f64 b r))
accuracy28.40294931109503
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
accuracy0.12745842429718598
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
accuracy0.16015625
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
accuracy0.240566259768442
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
accuracy0.25228500976844204
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
Samples
230.0ms180×1valid
51.0ms76×0valid
Compiler

Compiled 307 to 52 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-mult: 68.0ms (28.5% of total)
ival-cos: 43.0ms (18% of total)
ival-div: 41.0ms (17.2% of total)
const: 31.0ms (13% of total)
ival-sin: 20.0ms (8.4% of total)
adjust: 15.0ms (6.3% of total)
ival-add: 13.0ms (5.5% of total)
ival-neg: 4.0ms (1.7% of total)
ival-sub: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
20.0MiB live, 57.5MiB allocated
Counts
22 → 612
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))>
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))>
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))>
#<alt (sin.f64 b)>
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))>
#<alt #s(approx (* b (/ r (cos a))) (*.f64 b r))>
#<alt (*.f64 b r)>
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))>
#<alt (/.f64 r (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))>
#<alt (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))>
#<alt (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))>
#<alt (neg.f64 (cos.f64 (+.f64 b a)))>
#<alt (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))>
#<alt (*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))>
#<alt (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))>
#<alt #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))>
#<alt #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))>
#<alt (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))>
Outputs
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
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#<alt (/ (cos (+ a b)) (* r (sin b)))>
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#<alt (/ (cos (+ a b)) (* r (sin b)))>
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#<alt (* -1 (/ (cos (+ a b)) (sin b)))>
#<alt (* -1 (/ (cos (+ a b)) (sin b)))>
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#<alt (* -1 (/ (cos (+ a b)) (sin b)))>
#<alt (* -1 (/ (cos (+ a b)) (sin b)))>
#<alt (* -1 (/ (cos (+ a b)) (sin b)))>
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#<alt (* -1 (cos (- b (* -1 a))))>
#<alt (* -1 (cos (- b (* -1 a))))>
#<alt (* -1 (cos (- b (* -1 a))))>
#<alt (cos a)>
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#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))>
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))>
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#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))>
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#<alt (/ r (cos a))>
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#<alt (/ r (cos (+ a b)))>
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#<alt (cos a)>
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#<alt (cos (+ a b))>
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#<alt (cos (- a (* -1 b)))>
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#<alt (cos b)>
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#<alt (cos (+ a b))>
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#<alt (cos (- b (* -1 a)))>
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#<alt (cos a)>
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#<alt (cos b)>
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#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (* -1/2 b)>
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
Calls

153 calls:

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

simplify326.0ms (2.3%)

Memory
-6.5MiB live, 467.8MiB allocated
Algorithm
egg-herbie
Rules
8 170×lower-fma.f64
8 170×lower-fma.f32
7 558×lower-*.f64
7 558×lower-*.f32
2 080×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05257422
116817154
253047071
083376827
Stop Event
iter limit
node limit
Counts
612 → 604
Calls
Call 1
Inputs
(* 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))
(* 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))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* 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)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos a) (* b r))
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos b) (* r (sin b)))
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(* -1 (/ (cos a) b))
(/ (+ (* -1 (cos a)) (* b (sin a))) b)
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* -1 (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))))))) b)
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) b)
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos b) (sin b)))
(+ a (* -1 (/ (cos b) (sin b))))
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* 1/2 (/ (* a (cos b)) (sin b))))))
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ (cos b) (sin b))))))))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (cos a))
(- (* b (sin a)) (cos a))
(- (* b (+ (sin a) (* 1/2 (* b (cos a))))) (cos a))
(- (* b (+ (sin a) (* b (- (* -1/6 (* b (sin a))) (* -1/2 (cos a)))))) (cos a))
(* -1 (cos (+ a b)))
(* -1 (cos (+ a b)))
(* -1 (cos (+ a b)))
(* -1 (cos (+ a b)))
(* -1 (cos (- a (* -1 b))))
(* -1 (cos (- a (* -1 b))))
(* -1 (cos (- a (* -1 b))))
(* -1 (cos (- a (* -1 b))))
(* -1 (cos b))
(- (* a (sin b)) (cos b))
(- (* a (+ (sin b) (* 1/2 (* a (cos b))))) (cos b))
(- (* a (+ (sin b) (* a (- (* -1/6 (* a (sin b))) (* -1/2 (cos b)))))) (cos b))
(* -1 (cos (+ a b)))
(* -1 (cos (+ a b)))
(* -1 (cos (+ a b)))
(* -1 (cos (+ a b)))
(* -1 (cos (- b (* -1 a))))
(* -1 (cos (- b (* -1 a))))
(* -1 (cos (- b (* -1 a))))
(* -1 (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* 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)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
Outputs
(* a (sin b))
(*.f64 a (sin.f64 b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #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 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(*.f64 b (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(fma.f64 b (*.f64 (sin.f64 a) (/.f64 r (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 (/.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) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 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)))
(fma.f64 b (fma.f64 b (-.f64 (fma.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 b (fma.f64 (sin.f64 a) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (*.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 a (/.f64 (*.f64 (sin.f64 b) r) (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 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 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 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 r) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (cos.f64 b))) (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (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 a (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 b))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (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 a (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 b))) (cos.f64 b))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 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)
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(fma.f64 a (*.f64 a (*.f64 b (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))) (*.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/1440 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))

rewrite409.0ms (2.9%)

Memory
20.9MiB live, 692.2MiB allocated
Rules
4 720×lower-*.f32
4 700×lower-*.f64
4 484×lower-/.f32
4 468×lower-/.f64
2 548×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055268
094260
1327229
22168229
08515229
Stop Event
iter limit
node limit
iter limit
Counts
22 → 952
Calls
Call 1
Inputs
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(sin.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 b r))
(*.f64 b r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))
(neg.f64 (cos.f64 (+.f64 b a)))
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
#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))
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
(/.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 a) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 a)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 a))
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(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sin.f64 a))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal -2 binary64) (sin.f64 a))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 #s(literal -2 binary64) (neg.f64 (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (sin.f64 a))))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(/.f64 (neg.f64 (fma.f64 (sin.f64 a) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (sin.f64 a)))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 a))))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal 2 binary64) (sin.f64 a)))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 a))))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
#s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))
(*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a)))
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(*.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)

eval377.0ms (2.7%)

Memory
-13.9MiB live, 539.1MiB allocated
Compiler

Compiled 48 566 to 4 286 computations (91.2% saved)

prune294.0ms (2.1%)

Memory
9.0MiB live, 703.3MiB allocated
Pruning

86 alts after pruning (82 fresh and 4 done)

PrunedKeptTotal
New1 846271 873
Fresh195574
Picked325
Done022
Total1 868861 954
Accuracy
100.0%
Counts
1 954 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
75.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
75.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
75.7%
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
75.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r)))
74.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r)))
54.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
56.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)))
58.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r)))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
53.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (neg (cos (+ b a))) (-.f64 (*.f64 a (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)))
75.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) (sin.f64 b)))
75.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
56.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 b (cos.f64 a)) #s(literal 1/3 binary64) (sin.f64 a))) (cos.f64 a)) b)) (neg.f64 r)))
59.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r)))
53.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
91.3%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 b) r))))
58.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)))
55.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
75.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
54.1%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
98.8%
(*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b))
98.8%
(*.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))) (/.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b))
75.8%
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b))
55.0%
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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)))
75.8%
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
68.8%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
75.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
55.2%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
43.7%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
65.9%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
55.5%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
54.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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)))
56.4%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
34.9%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
59.0%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
35.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))) (/.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
75.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
75.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
38.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))))
55.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
58.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
45.7%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
27.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
27.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal 0 binary64))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
86.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
59.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a))))))
59.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
57.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.8%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b))))
58.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
35.6%
(*.f64 r (/.f64 (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)))))))
36.1%
(*.f64 r (/.f64 (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))))))
12.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
40.6%
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))))
55.5%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
39.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
56.5%
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
99.5%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
55.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
55.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
55.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
55.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
27.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
28.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
30.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
35.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Compiler

Compiled 3 558 to 2 214 computations (37.8% saved)

simplify469.0ms (3.3%)

Memory
9.7MiB live, 520.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
cost-diff192
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
cost-diff0
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))
cost-diff0
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))
cost-diff0
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
cost-diff0
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
cost-diff0
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
cost-diff0
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
cost-diff0
(cos.f64 b)
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
cost-diff6336
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
Rules
10 944×lower-fma.f32
10 940×lower-fma.f64
3 266×lower-*.f32
3 250×lower-*.f64
1 528×lower-+.f32
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
056335
087326
1144319
2233317
3391315
4649315
51197315
61769315
72421315
83684315
94954312
105710312
116590312
126955312
137060312
147103312
157554312
167744312
177830312
187892312
197918312
207948312
217952312
227952312
08415312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
b
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 b)
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 b r)
b
r
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))
(cos.f64 a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
#s(literal 1 binary64)
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))
a
(/.f64 (cos.f64 b) (sin.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(neg.f64 r)
r
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
r
#s(literal -1 binary64)
(sin.f64 b)
Outputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 b)
b
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 b)
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 b r)
(*.f64 r b)
b
r
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))
(cos.f64 a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))))
#s(literal 1 binary64)
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))
a
(/.f64 (cos.f64 b) (sin.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(neg.f64 r)
r
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
(/.f64 r (cos.f64 (+.f64 b a)))
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
r
#s(literal -1 binary64)
(sin.f64 b)

localize314.0ms (2.2%)

Memory
-26.2MiB live, 451.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
accuracy0.0859375
(/.f64 (cos.f64 (+.f64 b a)) r)
accuracy3.329884685077377
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
accuracy6.094851119167985
(cos.f64 (+.f64 b a))
accuracy0.08203125
(/.f64 (cos.f64 b) (sin.f64 b))
accuracy0.12890625
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))
accuracy0.18846730811030743
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
accuracy14.450387221679877
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))
accuracy0
(cos.f64 a)
accuracy0.05859375
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
accuracy0.0859375
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
accuracy11.207760951019875
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))
accuracy0
(*.f64 a a)
accuracy3.106439089657566
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
accuracy12.670102120219271
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
accuracy14.099674562104331
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))
accuracy0.046875
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
accuracy0.05095466452874396
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy0.06640625
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
accuracy0.07421875
(*.f64 (sin.f64 b) (sin.f64 a))
Samples
104.0ms96×1invalid
83.0ms77×1valid
38.0ms72×0valid
6.0ms11×0invalid
Compiler

Compiled 280 to 49 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-mult: 55.0ms (28.9% of total)
ival-cos: 38.0ms (20% of total)
adjust: 27.0ms (14.2% of total)
ival-div: 26.0ms (13.7% of total)
ival-sin: 16.0ms (8.4% of total)
ival-add: 9.0ms (4.7% of total)
ival-neg: 6.0ms (3.2% of total)
ival-log: 5.0ms (2.6% of total)
ival-exp: 4.0ms (2.1% of total)
ival-sub: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series433.0ms (3.1%)

Memory
15.8MiB live, 482.5MiB allocated
Counts
26 → 708
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))>
#<alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt (cos.f64 b)>
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))>
#<alt #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))>
#<alt (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))>
#<alt (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))>
#<alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))>
#<alt (sin.f64 b)>
#<alt #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))>
#<alt (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))>
#<alt #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))>
#<alt (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))>
#<alt (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))>
#<alt (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
#<alt (*.f64 a a)>
#<alt (cos.f64 a)>
#<alt (/.f64 (cos.f64 b) (sin.f64 b))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (/.f64 (cos.f64 (+.f64 b a)) r)>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (cos b))>
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (* 1/2 (* (pow a 2) (* b r)))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
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#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (* -1 (log (/ (cos a) r)))>
#<alt (+ (* -1 (log (/ (cos a) r))) (/ (* b (sin a)) (cos a)))>
#<alt (+ (* -1 (log (/ (cos a) r))) (* b (+ (* -1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))) (/ (sin a) (cos a)))))>
#<alt (+ (* -1 (log (/ (cos a) r))) (* b (+ (* b (+ (* -1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* -1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))))) (/ (sin a) (cos a)))))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))>
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))>
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))>
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))>
#<alt (* -1 (log (/ (cos b) r)))>
#<alt (+ (* -1 (log (/ (cos b) r))) (/ (* a (sin b)) (cos b)))>
#<alt (+ (* -1 (log (/ (cos b) r))) (* a (+ (* -1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b)))))>
#<alt (+ (* -1 (log (/ (cos b) r))) (* a (+ (* a (+ (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* -1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (/ (sin b) (cos b)))))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (+ a b)) r)))>
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))>
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))>
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))>
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))>
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))>
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))>
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))>
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))>
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))>
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))>
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))>
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (log (/ (cos a) r))>
#<alt (+ (log (/ (cos a) r)) (* -1 (/ (* b (sin a)) (cos a))))>
#<alt (+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))))))>
#<alt (+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))) (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)))))))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (- a (* -1 b))) r))>
#<alt (log (/ (cos (- a (* -1 b))) r))>
#<alt (log (/ (cos (- a (* -1 b))) r))>
#<alt (log (/ (cos (- a (* -1 b))) r))>
#<alt (log (/ (cos b) r))>
#<alt (+ (log (/ (cos b) r)) (* -1 (/ (* a (sin b)) (cos b))))>
#<alt (+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))>
#<alt (+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (+ a b)) r))>
#<alt (log (/ (cos (- b (* -1 a))) r))>
#<alt (log (/ (cos (- b (* -1 a))) r))>
#<alt (log (/ (cos (- b (* -1 a))) r))>
#<alt (log (/ (cos (- b (* -1 a))) r))>
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))>
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))>
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))>
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))>
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))>
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))>
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))>
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))>
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))>
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))>
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))>
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1/3 (pow b 2))) b)>
#<alt (/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b)>
#<alt (/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b)>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (/ (cos a) r)>
#<alt (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r))>
#<alt (+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r))>
#<alt (+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r))>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (- a (* -1 b))) r)>
#<alt (/ (cos (- a (* -1 b))) r)>
#<alt (/ (cos (- a (* -1 b))) r)>
#<alt (/ (cos (- a (* -1 b))) r)>
#<alt (/ (cos b) r)>
#<alt (+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r))>
#<alt (+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r))>
#<alt (+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r))>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (- b (* -1 a))) r)>
#<alt (/ (cos (- b (* -1 a))) r)>
#<alt (/ (cos (- b (* -1 a))) r)>
#<alt (/ (cos (- b (* -1 a))) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
#<alt (/ (cos (+ a b)) r)>
Calls

177 calls:

TimeVariablePointExpression
97.0ms
a
@inf
(* (log (/ (cos (+ b a)) r)) -1)
86.0ms
b
@-inf
(* (log (/ (cos (+ b a)) r)) -1)
82.0ms
b
@inf
(* (log (/ (cos (+ b a)) r)) -1)
36.0ms
a
@-inf
(* (log (/ (cos (+ b a)) r)) -1)
31.0ms
r
@-inf
(* (log (/ (cos (+ b a)) r)) -1)

simplify458.0ms (3.3%)

Memory
27.7MiB live, 733.6MiB allocated
Algorithm
egg-herbie
Rules
10 720×lower-fma.f64
10 720×lower-fma.f32
7 512×lower-*.f64
7 512×lower-*.f32
2 956×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06389190
119938844
261798749
082638461
Stop Event
iter limit
node limit
Counts
708 → 705
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ r (- (* (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))
(+ (/ 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)))
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(/ (cos a) (* b r))
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos (- a (* -1 b))) (* r (sin b)))
(/ (cos b) (* r (sin b)))
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (- b (* -1 a))) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(/ (cos (+ a b)) (* r (sin b)))
(* -1 (/ (cos a) b))
(/ (+ (* -1 (cos a)) (* b (sin a))) b)
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* -1 (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))))))) b)
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) b)
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos (- a (* -1 b))) (sin b)))
(* -1 (/ (cos b) (sin b)))
(+ a (* -1 (/ (cos b) (sin b))))
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* 1/2 (/ (* a (cos b)) (sin b))))))
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ (cos b) (sin b))))))))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (+ a b)) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (/ (cos (- b (* -1 a))) (sin b)))
(* -1 (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
a
(* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))
(* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))
(* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))
a
(* -1 (* a (- (/ (cos b) (* a (sin b))) 1)))
(* -1 (* a (- (/ (cos b) (* a (sin b))) 1)))
(* -1 (* a (- (/ (cos b) (* a (sin b))) 1)))
(/ -1 b)
(/ (- (* a b) 1) b)
(/ (- (* b (+ a (* 1/3 b))) 1) b)
(/ (- (* b (+ a (* b (+ 1/3 (* 1/45 (pow b 2)))))) 1) b)
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (sin b)))
(- a (/ (cos b) (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 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))))
(/ 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)))
(* -1 (log (/ (cos a) r)))
(+ (* -1 (log (/ (cos a) r))) (/ (* b (sin a)) (cos a)))
(+ (* -1 (log (/ (cos a) r))) (* b (+ (* -1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))) (/ (sin a) (cos a)))))
(+ (* -1 (log (/ (cos a) r))) (* b (+ (* b (+ (* -1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* -1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))))) (/ (sin a) (cos a)))))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (- a (* -1 b))) r)))
(* -1 (log (/ (cos (- a (* -1 b))) r)))
(* -1 (log (/ (cos (- a (* -1 b))) r)))
(* -1 (log (/ (cos (- a (* -1 b))) r)))
(* -1 (log (/ (cos b) r)))
(+ (* -1 (log (/ (cos b) r))) (/ (* a (sin b)) (cos b)))
(+ (* -1 (log (/ (cos b) r))) (* a (+ (* -1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b)))))
(+ (* -1 (log (/ (cos b) r))) (* a (+ (* a (+ (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* -1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (/ (sin b) (cos b)))))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (+ a b)) r)))
(* -1 (log (/ (cos (- b (* -1 a))) r)))
(* -1 (log (/ (cos (- b (* -1 a))) r)))
(* -1 (log (/ (cos (- b (* -1 a))) r)))
(* -1 (log (/ (cos (- b (* -1 a))) r)))
(* -1 (+ (log (cos (+ a b))) (* -1 (log r))))
(* -1 (+ (log (cos (+ a b))) (* -1 (log r))))
(* -1 (+ (log (cos (+ a b))) (* -1 (log r))))
(* -1 (+ (log (cos (+ a b))) (* -1 (log r))))
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(log (/ (cos a) r))
(+ (log (/ (cos a) r)) (* -1 (/ (* b (sin a)) (cos a))))
(+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))))))
(+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))) (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)))))))
(log (/ (cos (+ a b)) r))
(log (/ (cos (+ a b)) r))
(log (/ (cos (+ a b)) r))
(log (/ (cos (+ a b)) r))
(log (/ (cos (- a (* -1 b))) r))
(log (/ (cos (- a (* -1 b))) r))
(log (/ (cos (- a (* -1 b))) r))
(log (/ (cos (- a (* -1 b))) r))
(log (/ (cos b) r))
(+ (log (/ (cos b) r)) (* -1 (/ (* a (sin b)) (cos b))))
(+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))
(+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))))
(log (/ (cos (+ a b)) r))
(log (/ (cos (+ a b)) r))
(log (/ (cos (+ a b)) r))
(log (/ (cos (+ a b)) r))
(log (/ (cos (- b (* -1 a))) r))
(log (/ (cos (- b (* -1 a))) r))
(log (/ (cos (- b (* -1 a))) r))
(log (/ (cos (- b (* -1 a))) r))
(+ (log (cos (+ a b))) (* -1 (log r)))
(+ (log (cos (+ a b))) (* -1 (log r)))
(+ (log (cos (+ a b))) (* -1 (log r)))
(+ (log (cos (+ a b))) (* -1 (log r)))
(+ (log (cos (+ a b))) (log (/ 1 r)))
(+ (log (cos (+ a b))) (log (/ 1 r)))
(+ (log (cos (+ a b))) (log (/ 1 r)))
(+ (log (cos (+ a b))) (log (/ 1 r)))
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))
(* 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)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ 1 b)
(/ (+ 1 (* -1/3 (pow b 2))) b)
(/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b)
(/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b)
(/ (cos b) (sin b))
(/ (cos b) (sin b))
(/ (cos b) (sin b))
(/ (cos b) (sin b))
(/ (cos b) (sin b))
(/ (cos b) (sin b))
(/ (cos b) (sin b))
(/ (cos b) (sin b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a 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 a) r)
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r))
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r))
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) 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)
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r))
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r))
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) 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))) 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)
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
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(/.f64 (cos.f64 (+.f64 b a)) r)
(/ (cos (+ a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)

rewrite383.0ms (2.7%)

Memory
-2.6MiB live, 616.2MiB allocated
Rules
4 576×lower-*.f32
4 562×lower-*.f64
4 336×lower-/.f32
4 324×lower-/.f64
2 312×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056290
087258
1290223
21879222
08459222
Stop Event
iter limit
node limit
iter limit
Counts
26 → 859
Calls
Call 1
Inputs
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
(sin.f64 b)
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 a a)
(cos.f64 a)
(/.f64 (cos.f64 b) (sin.f64 b))
(cos.f64 (+.f64 b a))
(/.f64 (cos.f64 (+.f64 b a)) r)
Outputs
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.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 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal 1 binary64) (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 (/.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)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 r)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 r))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (neg.f64 (/.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64))
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))))
(+.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.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)))))
(exp.f64 (log.f64 (cos.f64 (+.f64 b a))))
(cos.f64 (+.f64 b a))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))))
(-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (/.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(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)))))
(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)))))
(neg.f64 (neg.f64 (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) 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) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (sin.f64 a) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (sin.f64 a))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 a)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
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(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (*.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 r))
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) (*.f64 r (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (*.f64 r (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) r))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1 binary64)) (*.f64 (cos.f64 (-.f64 b a)) r))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) (neg.f64 (*.f64 r (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (*.f64 r (cos.f64 (-.f64 b a)))))
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) r)
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (-.f64 b a)))
(/.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) r)
(/.f64 (exp.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (exp.f64 (log.f64 (neg.f64 r))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 r)) (*.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) (*.f64 r r))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (*.f64 r (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) r)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) (neg.f64 r))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) r))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) r))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) (neg.f64 r))
(pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 r (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (cos.f64 (+.f64 b a)) (exp.f64 (neg.f64 (log.f64 r))))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal -1 binary64) r) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r))
(*.f64 (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (pow.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))

eval213.0ms (1.5%)

Memory
9.8MiB live, 395.3MiB allocated
Compiler

Compiled 37 278 to 4 187 computations (88.8% saved)

prune320.0ms (2.3%)

Memory
-19.4MiB live, 516.0MiB allocated
Pruning

91 alts after pruning (85 fresh and 6 done)

PrunedKeptTotal
New1 683351 718
Fresh275077
Picked325
Done044
Total1 713911 804
Accuracy
100.0%
Counts
1 804 → 91
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
75.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
75.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
59.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
53.6%
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r)))
74.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r)))
58.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r)))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
56.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a)) (neg.f64 (cos.f64 a))) b)) (neg.f64 r)))
59.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r)))
36.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
35.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
34.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
58.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
91.3%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 b) r))))
53.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
58.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)))
58.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)))
53.5%
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
54.1%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
38.9%
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
59.1%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))) (sin.f64 b))
57.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
56.5%
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
60.5%
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
98.8%
(*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b))
98.8%
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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) 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) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
75.8%
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b))
55.0%
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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)))
75.8%
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
68.8%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
75.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
43.7%
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
65.9%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
56.4%
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b))
59.0%
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b))
55.5%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
54.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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)))
35.8%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
53.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
53.7%
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
75.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
75.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
38.4%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))))
55.1%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
75.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
58.9%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
58.9%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) r))
54.0%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) r)) #s(literal -1 binary64))) (sin.f64 b))
42.6%
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) r))))) (sin.f64 b))
38.8%
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 a) r))))) (sin.f64 b))
27.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
27.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal 0 binary64))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
86.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
57.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.8%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
57.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b))))
36.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
38.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
55.1%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
40.6%
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))))
31.2%
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (sin.f64 b))) #s(literal -1 binary64))))
55.5%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
39.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
56.5%
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
99.5%
#s(approx (* (/ r (+ (* (cos b) (cos a)) (neg (* (sin 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)))))
55.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
55.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
34.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
55.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
27.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
28.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
30.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
14.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
35.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
18.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
11.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
Compiler

Compiled 4 736 to 1 749 computations (63.1% saved)

regimes260.0ms (1.9%)

Memory
13.3MiB live, 443.8MiB allocated
Counts
168 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
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(*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b))
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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) 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) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) r)) #s(literal -1 binary64))) (sin.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))) (/.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))) (/.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
Calls

5 calls:

66.0ms
r
48.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
48.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
46.0ms
a
44.0ms
b
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes278.0ms (2%)

Memory
8.3MiB live, 289.7MiB allocated
Counts
146 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) r))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
(*.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 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (neg (cos (+ b a))) (-.f64 (*.f64 a (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 b (cos.f64 a)) #s(literal 1/3 binary64) (sin.f64 a))) (cos.f64 a)) b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a)) (neg.f64 (cos.f64 a))) b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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)))
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 a) r))))) (sin.f64 b))
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) r))))) (sin.f64 b))
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (sin.f64 b))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a)))))))
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 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 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* (/ r (+ (* (cos b) (cos a)) (neg (* (sin 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)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Calls

5 calls:

73.0ms
r
68.0ms
b
51.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
40.0ms
a
38.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
99.5%1a
99.5%1b
99.5%1r
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes491.0ms (3.5%)

Memory
-27.1MiB live, 254.4MiB allocated
Counts
144 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) r))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
(*.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 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b)))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (neg (cos (+ b a))) (-.f64 (*.f64 a (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 b (cos.f64 a)) #s(literal 1/3 binary64) (sin.f64 a))) (cos.f64 a)) b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a)) (neg.f64 (cos.f64 a))) b)) (neg.f64 r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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)))
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 a) r))))) (sin.f64 b))
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) r))))) (sin.f64 b))
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (sin.f64 b))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a)))))))
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 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 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Calls

5 calls:

162.0ms
r
105.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
65.0ms
b
59.0ms
a
53.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
75.9%1r
75.9%1a
75.9%1b
75.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes139.0ms (1%)

Memory
-18.7MiB live, 107.9MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

5 calls:

24.0ms
r
23.0ms
b
17.0ms
a
17.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
16.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
75.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
75.9%1b
75.9%1r
75.9%1a
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes102.0ms (0.7%)

Memory
36.3MiB live, 74.3MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

33.0ms
b
17.0ms
r
17.0ms
a
16.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
16.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
75.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
75.9%1b
75.9%1r
75.9%1a
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes177.0ms (1.3%)

Memory
-30.3MiB live, 128.9MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
Calls

5 calls:

45.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
41.0ms
r
28.0ms
a
16.0ms
b
16.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
64.8%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
76.5%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
64.7%3r
76.5%3b
76.3%3a
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes16.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
76.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes73.0ms (0.5%)

Memory
-5.4MiB live, 71.2MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))
Calls

3 calls:

33.0ms
b
25.0ms
a
13.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
74.2%3a
74.5%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
74.6%3b
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Memory
-18.4MiB live, 24.3MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
Calls

1 calls:

24.0ms
b
Results
AccuracySegmentsBranch
74.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (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)))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
74.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory
2.9MiB live, 39.5MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
Calls

2 calls:

16.0ms
b
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
74.4%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
74.5%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))
Outputs
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
74.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes77.0ms (0.5%)

Memory
-8.2MiB live, 68.9MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ 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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Calls

5 calls:

30.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
21.0ms
b
8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms
a
8.0ms
r
Results
AccuracySegmentsBranch
55.6%1r
55.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.6%1a
57.3%2(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
57.3%2b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes39.0ms (0.3%)

Memory
-12.5MiB live, 33.1MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Calls

3 calls:

27.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
55.6%1a
55.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
55.6%1b
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes51.0ms (0.4%)

Memory
1.2MiB live, 40.5MiB allocated
Accuracy

Total -18.8b remaining (-45.7%)

Threshold costs -18.8b (-45.7%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Calls

5 calls:

31.0ms
b
5.0ms
a
5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms
r
Results
AccuracySegmentsBranch
35.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
35.6%1b
35.6%1r
35.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.6%1a
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch64.0ms (0.5%)

Memory
0.2MiB live, 78.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.005914632067077714
3.6576548498598282
35.0ms
-101304.22028118106
-1.0161379682090426e-13
Samples
35.0ms171×1valid
16.0ms117×0valid
Compiler

Compiled 591 to 374 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-cos: 16.0ms (52.5% of total)
ival-sin: 4.0ms (13.1% of total)
ival-add: 3.0ms (9.8% of total)
adjust: 3.0ms (9.8% of total)
ival-mult: 3.0ms (9.8% of total)
ival-div: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.005914632067077714
3.6576548498598282
1.0ms
-101304.22028118106
-1.0161379682090426e-13
Compiler

Compiled 591 to 374 computations (36.7% saved)

bsearch29.0ms (0.2%)

Memory
-19.6MiB live, 24.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.005914632067077714
3.6576548498598282
3.0ms
-101304.22028118106
-1.0161379682090426e-13
Samples
6.0ms42×1valid
2.0ms38×0valid
Compiler

Compiled 655 to 430 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (34.9% of total)
ival-add: 1.0ms (17.5% of total)
ival-div: 1.0ms (17.5% of total)
adjust: 1.0ms (17.5% of total)
ival-mult: 1.0ms (17.5% of total)
ival-sin: 1.0ms (17.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.005914632067077714
3.6576548498598282
1.0ms
-101304.22028118106
-1.0161379682090426e-13
Compiler

Compiled 647 to 430 computations (33.5% saved)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.005914632067077714
3.6576548498598282
1.0ms
-101304.22028118106
-1.0161379682090426e-13
Compiler

Compiled 647 to 430 computations (33.5% saved)

bsearch28.0ms (0.2%)

Memory
6.9MiB live, 46.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.005914632067077714
3.6576548498598282
12.0ms
-101304.22028118106
-1.0161379682090426e-13
Samples
15.0ms90×1valid
5.0ms70×0valid
Compiler

Compiled 485 to 340 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (27.2% of total)
ival-cos: 4.0ms (27.2% of total)
adjust: 2.0ms (13.6% of total)
ival-sin: 2.0ms (13.6% of total)
ival-add: 1.0ms (6.8% of total)
ival-div: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.005914632067077714
3.6576548498598282
1.0ms
-101304.22028118106
-1.0161379682090426e-13
Compiler

Compiled 465 to 320 computations (31.2% saved)

bsearch43.0ms (0.3%)

Memory
6.3MiB live, 45.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
-101304.22028118106
-1.0161379682090426e-13
Samples
12.0ms72×1valid
6.0ms56×0valid
Compiler

Compiled 245 to 164 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 4.0ms (29.7% of total)
ival-cos: 4.0ms (29.7% of total)
ival-add: 1.0ms (7.4% of total)
ival-div: 1.0ms (7.4% of total)
adjust: 1.0ms (7.4% of total)
ival-mult: 1.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
-22.0MiB live, 17.6MiB allocated
Algorithm
egg-herbie
Rules
52×*-commutative_binary64
22×+-commutative_binary64
20×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120587
1161587
2185587
3204583
4214583
5215583
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -9000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #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)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))))
(if (<=.f64 b #s(literal -9000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #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)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

soundness1.5s (10.7%)

Memory
36.8MiB live, 1 390.6MiB allocated
Rules
10 720×lower-fma.f64
10 720×lower-fma.f32
9 408×lower-fma.f64
9 408×lower-fma.f32
8 560×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
0822
01322
14422
223422
3198522
01021222
05077055
116236789
253746709
085006468
06389190
119938844
261798749
082638461
037204
064179
1224177
21393177
08454177
05257422
116817154
253047071
083376827
056290
087258
1290223
21879222
08459222
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 647 to 822 computations (50.1% saved)

preprocess91.0ms (0.7%)

Memory
-6.6MiB live, 226.4MiB allocated
Remove

(negabs r)

Compiler

Compiled 976 to 296 computations (69.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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