rsin B (should all be same)

Time bar (total: 14.7s)

analyze268.0ms (1.8%)

Memory
-2.2MiB live, 434.9MiB 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)

sample1.7s (11.9%)

Memory
-97.1MiB live, 2 659.1MiB allocated
Samples
1.3s5 810×1valid
171.0ms2 446×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 564.0ms (49.6% of total)
ival-sin: 192.0ms (16.9% of total)
adjust: 105.0ms (9.2% of total)
ival-add: 100.0ms (8.8% of total)
ival-mult: 100.0ms (8.8% of total)
ival-div: 67.0ms (5.9% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess103.0ms (0.7%)

Memory
25.5MiB live, 63.2MiB allocated
Algorithm
egg-herbie
Rules
658×times-frac
528×associate-*r*
518×unsub-neg
474×associate-*l*
466×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03895
19193
218093
343393
4108193
5251093
6327393
7366993
8424993
9462593
10463793
11464193
12464193
13468193
14469793
15469793
089
1129
2149
3169
4179
0179
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* r (/ (sin b) (cos (+ a b))))
Outputs
(* r (/ (sin b) (cos (+ a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Call 2
Inputs
(* r (/ (sin b) (cos (+ a b))))
(* (neg r) (/ (sin b) (cos (+ a b))))
(* r (/ (sin b) (cos (+ (neg a) b))))
(* r (/ (sin (neg b)) (cos (+ a (neg b)))))
(neg (* (neg r) (/ (sin b) (cos (+ a b)))))
(neg (* r (/ (sin b) (cos (+ (neg a) b)))))
(neg (* r (/ (sin (neg b)) (cos (+ a (neg b))))))
(* a (/ (sin b) (cos (+ r b))))
(* b (/ (sin r) (cos (+ a r))))
(* r (/ (sin a) (cos (+ b a))))
Outputs
(* r (/ (sin b) (cos (+ a b))))
(/ (* r (sin b)) (cos (+ b a)))
(* (neg r) (/ (sin b) (cos (+ a b))))
(/ (* r (neg (sin b))) (cos (+ b a)))
(* r (/ (sin b) (cos (+ (neg a) b))))
(/ (* r (sin b)) (cos (- b a)))
(* r (/ (sin (neg b)) (cos (+ a (neg b)))))
(/ (* r (neg (sin b))) (cos (- b a)))
(neg (* (neg r) (/ (sin b) (cos (+ a b)))))
(/ (* r (sin b)) (cos (+ b a)))
(neg (* r (/ (sin b) (cos (+ (neg a) b)))))
(/ (* r (neg (sin b))) (cos (- b a)))
(neg (* r (/ (sin (neg b)) (cos (+ a (neg b))))))
(/ (* r (sin b)) (cos (- b a)))
(* a (/ (sin b) (cos (+ r b))))
(/ (* (sin b) a) (cos (+ r b)))
(* b (/ (sin r) (cos (+ a r))))
(/ (* b (sin r)) (cos (+ r a)))
(* r (/ (sin a) (cos (+ b a))))
(/ (* r (sin a)) (cos (+ b a)))
Symmetry

(negabs r)

explain229.0ms (1.6%)

Memory
-11.5MiB live, 306.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
77110(7.881306085189475e-160 -6.988125454824097e+78 -2.792876516120122e-306)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1870
Confusion
Predicted +Predicted -
+770
-11069
Precision
0.4117647058823529
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7700
-110069
Precision?
0.4117647058823529
Recall?
1.0
Freqs
test
numberfreq
069
1187
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
134.0ms348×1valid
14.0ms164×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-cos: 95.0ms (75.6% of total)
ival-sin: 11.0ms (8.8% of total)
adjust: 6.0ms (4.8% of total)
ival-add: 5.0ms (4% of total)
ival-mult: 5.0ms (4% of total)
ival-div: 4.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
9.7MiB live, 9.7MiB 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×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
11228
21428
31628
41728
01728
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* r (/ (sin b) (cos (+ a b))))
r
(/ (sin b) (cos (+ a b)))
(sin b)
b
(cos (+ a b))
(+ a b)
a
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 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin b)
(sin.f64 b)
b
(cos (+ a b))
(cos.f64 (+.f64 b a))
(+ a b)
(+.f64 b a)
a

localize55.0ms (0.4%)

Memory
-82.2MiB live, 99.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy99.7%
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy74.1%
(cos.f64 (+.f64 a b))
Samples
39.0ms174×1valid
6.0ms82×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 11.0ms (33.3% of total)
ival-cos: 9.0ms (27.2% of total)
ival-sin: 5.0ms (15.1% of total)
adjust: 3.0ms (9.1% of total)
ival-mult: 3.0ms (9.1% of total)
ival-div: 2.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
1.7MiB live, 40.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (* r (/ (sin b) (cos (+ a b))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (sin b)>
#<alt (cos (+ 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
4.0ms
a
@inf
(/ (sin b) (cos (+ a b)))
2.0ms
r
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@inf
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
r
@inf
(* r (/ (sin b) (cos (+ a b))))

rewrite1.6s (10.7%)

Memory
15.5MiB live, 605.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 400×*-lowering-*.f32
6 400×*-lowering-*.f64
4 812×/-lowering-/.f32
4 812×/-lowering-/.f64
3 770×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
13922
222922
3198422
01021522
Stop Event
iter limit
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(* r (/ (sin b) (cos (+ a b))))
(/ (sin b) (cos (+ a b)))
(sin b)
(cos (+ 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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) r))
(neg.f64 (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (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) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
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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) (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 (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))))))
(/.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))
(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) (-.f64 #s(literal 0 binary64) (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))))

simplify410.0ms (2.8%)

Memory
31.2MiB live, 740.4MiB allocated
Algorithm
egg-herbie
Rules
9 408×accelerator-lowering-fma.f32
9 408×accelerator-lowering-fma.f64
5 356×*-lowering-*.f32
5 356×*-lowering-*.f64
2 876×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
Stop Event
iter limit
node limit
Counts
96 → 96
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)))) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (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))))
(*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 b (fma.f64 b (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 #s(literal 1 binary64) (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))))
(*.f64 b (fma.f64 b (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)))) (/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (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 (-.f64 #s(literal 0 binary64) 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))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64)))
(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))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.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 (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))))
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.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))

eval32.0ms (0.2%)

Memory
-25.9MiB live, 92.1MiB allocated
Compiler

Compiled 4 890 to 753 computations (84.6% saved)

prune57.0ms (0.4%)

Memory
33.6MiB live, 194.9MiB allocated
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New21937256
Fresh000
Picked101
Done000
Total22037257
Accuracy
99.8%
Counts
257 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
59.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
74.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
73.7%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
74.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
74.1%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
73.7%
(*.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)))
73.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
74.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
74.1%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
39.0%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
73.8%
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) (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)))))))
51.1%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
50.9%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
50.7%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.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) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
52.7%
(*.f64 r (/.f64 (sin.f64 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))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
53.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
55.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
98.7%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
74.0%
(*.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))))))
48.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
59.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
54.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
51.3%
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
51.2%
(*.f64 r (/.f64 b (cos.f64 a)))
74.1%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
74.0%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
74.1%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
51.1%
(*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
51.2%
(*.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))))
51.2%
(*.f64 b (/.f64 r (cos.f64 a)))
36.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 1 388 to 876 computations (36.9% saved)

simplify413.0ms (2.8%)

Memory
-21.6MiB live, 538.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))
cost-diff13824
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))
cost-diff192
(-.f64 #s(literal 0 binary64) (-.f64 a b))
cost-diff192
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))
cost-diff1280
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
cost-diff0
(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-diff-64
(*.f64 b (/.f64 r (cos.f64 a)))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 b))
cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Rules
5 658×accelerator-lowering-fma.f32
5 658×accelerator-lowering-fma.f64
2 516×*-lowering-*.f32
2 516×*-lowering-*.f64
2 340×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032225
170225
2169207
3416204
4805204
52613204
65439204
08459204
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))))
r
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
(sin b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))
(- 0 (sin b))
0
(sin a)
a
(* (cos a) (cos b))
(cos a)
(cos b)
(* b (/ r (cos a)))
b
(/ r (cos a))
r
(cos a)
a
(* (/ r (cos (+ b a))) (sin b))
(/ r (cos (+ b a)))
r
(cos (+ b a))
(+ b a)
b
a
(sin b)
(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))))
r
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))
(sin b)
b
(cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))
(/ (* (+ b a) (- a b)) (- 0 (- a b)))
(* (+ b a) (- a b))
(+ b a)
a
(- a b)
(- 0 (- a b))
0
(* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b)))
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))
(* r (sin b))
r
(sin b)
b
(* (cos (- a b)) (cos (+ b a)))
(cos (- a b))
(- a b)
a
(cos (+ b a))
(+ b a)
Outputs
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))))
(fma.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64)))) #s(literal 0 binary64))
r
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64))))
(sin b)
(sin.f64 b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64)))
(- 0 (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
a
(* (cos a) (cos b))
(fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64))
(cos a)
(cos.f64 a)
(cos b)
(cos.f64 b)
(* b (/ r (cos a)))
(/.f64 (fma.f64 r b #s(literal 0 binary64)) (cos.f64 a))
b
(/ r (cos a))
(/.f64 r (cos.f64 a))
r
(cos a)
(cos.f64 a)
a
(* (/ r (cos (+ b a))) (sin b))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64))
(/ r (cos (+ b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(sin b)
(sin.f64 b)
(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64))
r
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin b)
(sin.f64 b)
b
(cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))
(cos.f64 (+.f64 b a))
(/ (* (+ b a) (- a b)) (- 0 (- a b)))
(-.f64 #s(literal 0 binary64) (+.f64 b a))
(* (+ b a) (- a b))
(fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))
(+ b a)
(+.f64 b a)
a
(- a b)
(-.f64 a b)
(- 0 (- a b))
(-.f64 b a)
0
#s(literal 0 binary64)
(* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64))
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(* (cos (- a b)) (cos (+ b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(cos (- a b))
(cos.f64 (-.f64 a b))
(- a b)
(-.f64 a b)
a
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)

localize218.0ms (1.5%)

Memory
1.3MiB live, 374.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))
accuracy99.5%
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
accuracy74.1%
(cos.f64 (+.f64 b a))
accuracy74.0%
(cos.f64 (-.f64 a b))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
accuracy99.7%
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))))
accuracy74.1%
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))
accuracy51.8%
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
accuracy100.0%
(sin.f64 b)
accuracy99.7%
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy99.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy74.1%
(cos.f64 (+.f64 b a))
accuracy100.0%
(cos.f64 a)
accuracy99.9%
(/.f64 r (cos.f64 a))
accuracy99.8%
(*.f64 b (/.f64 r (cos.f64 a)))
accuracy99.9%
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
accuracy99.8%
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy99.7%
(/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
142.0ms181×1valid
19.0ms75×0valid
Compiler

Compiled 261 to 34 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-cos: 40.0ms (31.1% of total)
ival-mult: 27.0ms (21% of total)
ival-sin: 18.0ms (14% of total)
ival-sub: 15.0ms (11.7% of total)
ival-div: 14.0ms (10.9% of total)
adjust: 11.0ms (8.6% of total)
ival-add: 4.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series112.0ms (0.8%)

Memory
-18.5MiB live, 98.9MiB allocated
Counts
22 → 576
Calls
Call 1
Inputs
#<alt (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))>
#<alt (sin b)>
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))>
#<alt (- 0 (sin b))>
#<alt (/ r (cos a))>
#<alt (cos a)>
#<alt (* b (/ r (cos a)))>
#<alt (/ r (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (+ b a)>
#<alt (/ (* (+ b a) (- a b)) (- 0 (- a b)))>
#<alt (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))>
#<alt (- 0 (- a b))>
#<alt (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))>
#<alt (* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b)))>
#<alt (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))>
#<alt (* (cos (- a b)) (cos (+ b a)))>
#<alt (* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))))>
#<alt (* (cos a) (cos b))>
#<alt (* (/ r (cos (+ b a))) (sin b))>
#<alt (* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))))>
#<alt (cos (- a 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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (* -1 b)>
#<alt (* b (- (* 1/6 (pow b 2)) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt r>
#<alt (+ r (* 1/2 (* (pow a 2) r)))>
#<alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<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 (/ (* 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 (/ 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 (/ 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 b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 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 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 (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))))>
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#<alt (pow (cos a) 2)>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (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 (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* b r) (cos (* -1 a)))>
#<alt (* b (+ (/ r (cos (* -1 a))) (/ (* b (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))) (pow (cos (* -1 a)) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 b)))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (cos (neg b))>
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* b (sin a)))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (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

144 calls:

TimeVariablePointExpression
8.0ms
r
@inf
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))
5.0ms
a
@inf
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
4.0ms
r
@0
(/ r (cos a))
4.0ms
b
@0
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))
2.0ms
b
@inf
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))

rewrite412.0ms (2.8%)

Memory
21.8MiB live, 680.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 134×/-lowering-/.f32
5 134×/-lowering-/.f64
4 932×*-lowering-*.f32
4 932×*-lowering-*.f64
4 374×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032210
1181137
21624137
09145137
Stop Event
iter limit
node limit
Counts
22 → 966
Calls
Call 1
Inputs
(/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b))))
(sin b)
(+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))
(- 0 (sin b))
(/ r (cos a))
(cos a)
(* b (/ r (cos a)))
(/ r (cos (+ b a)))
(cos (+ b a))
(+ b a)
(/ (* (+ b a) (- a b)) (- 0 (- a b)))
(cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))
(- 0 (- a b))
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b)))))
(* (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) (cos (- a b)))
(/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a))))
(* (cos (- a b)) (cos (+ b a)))
(* r (/ (sin b) (+ (* (- 0 (sin b)) (sin a)) (* (cos a) (cos b)))))
(* (cos a) (cos b))
(* (/ r (cos (+ b a))) (sin b))
(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (- 0 (- a b))))))
(cos (- a b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))) (*.f64 #s(literal -2 binary64) (sin.f64 b)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 3 binary64)) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b)) (*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.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 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (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 (*.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 b b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))

simplify528.0ms (3.6%)

Memory
43.2MiB live, 821.9MiB allocated
Algorithm
egg-herbie
Rules
9 406×accelerator-lowering-fma.f32
9 406×accelerator-lowering-fma.f64
7 282×*-lowering-*.f32
7 282×*-lowering-*.f64
4 474×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08738792
129917858
090557620
Stop Event
iter limit
node limit
Counts
576 → 576
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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 b)
(* b (- (* 1/6 (pow b 2)) 1))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos (+ a 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)))
(* -1 a)
(+ (* -1 a) (* b (- (* -1 (/ (+ a (* -1 a)) a)) 1)))
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1)))
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (+ (/ 1 a) (/ (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) a)) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1)))
(* -1 b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 b)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 a)
(* a (- (* -1 (/ (+ b (* -1 b)) a)) (+ 1 (/ b a))))
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (/ (pow b 2) (pow a 2))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a)))))
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (+ (/ (* b (- (pow b 2) (* -1 (* b (- (* -1 (+ b (* -1 b))) b))))) (pow a 3)) (/ (pow b 2) (pow a 2)))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a)))))
(* -1 a)
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(cos (* -1 a))
(+ (cos (* -1 a)) (* -1 (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))))
(+ (cos (* -1 a)) (* b (- (* b (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))))
(+ (cos (* -1 a)) (* b (- (* b (- (+ (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* b (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2)))))))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (/ (* (+ a b) (- a b)) (- b a)))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
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(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a 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) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (/ r (cos (* -1 a))) (/ (* b (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))) (pow (cos (* -1 a)) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 b)))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(cos (neg b))
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
Outputs
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (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))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 a (/.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 (- (* -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 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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 (neg.f64 (fma.f64 a (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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 a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 (*.f64 b (sin.f64 a)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (cos.f64 b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
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(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.f64 (/.f64 (*.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 r (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.f64 (-.f64 #s(literal 0 binary64) b) (fma.f64 (sin.f64 a) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (-.f64 (/.f64 (*.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 r (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)) (*.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (*.f64 a a)))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 r (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))
(fma.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.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 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (/.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (cos.f64 b))) (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) (/.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 b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(cos (neg b))
(cos.f64 b)
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(fma.f64 a (sin.f64 b) (cos.f64 b))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (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 (neg (+ b (* -1 a))))
(cos.f64 (-.f64 a b))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 a b))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 a b))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 a b))
(cos a)
(cos.f64 a)
(+ (cos a) (* b (sin a)))
(fma.f64 b (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 (*.f64 b (sin.f64 a)) #s(literal -1/6 binary64))) (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))

eval270.0ms (1.8%)

Memory
31.1MiB live, 596.1MiB allocated
Compiler

Compiled 53 358 to 4 582 computations (91.4% saved)

prune353.0ms (2.4%)

Memory
-62.4MiB live, 818.3MiB allocated
Pruning

84 alts after pruning (83 fresh and 1 done)

PrunedKeptTotal
New1 892681 960
Fresh171532
Picked415
Done000
Total1 913841 997
Accuracy
100.0%
Counts
1 997 → 84
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
74.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
59.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
74.0%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
74.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
51.1%
(/.f64 b (/.f64 (cos.f64 a) r))
73.7%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
60.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
98.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
56.7%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
99.4%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b)))
66.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b)))
59.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b))
54.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a))
54.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
98.9%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
52.5%
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b))
53.0%
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))
56.4%
(*.f64 (/.f64 r (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
61.3%
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b))
66.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b))
38.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
37.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))))
50.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
51.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
29.7%
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b))
74.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
59.2%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
54.6%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
73.7%
(*.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)))
73.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
73.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
74.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
51.2%
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
45.6%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))
39.0%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
62.2%
(*.f64 r (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
38.0%
(*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))
52.3%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
52.3%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
51.1%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
50.9%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
98.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
98.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
52.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
60.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))))
64.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
55.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
56.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
56.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
53.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
98.8%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.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 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.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 b b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
34.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a)))))
35.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b))))
27.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64))))))
74.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a))))))
67.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
36.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
31.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
18.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
59.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
54.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
39.2%
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
51.2%
(*.f64 r (/.f64 b (cos.f64 a)))
74.1%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
37.9%
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
98.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))
51.1%
(*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
51.2%
(*.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))))
34.6%
(*.f64 b (/.f64 r (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))))
34.5%
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.7%
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
51.2%
(*.f64 b (/.f64 r (cos.f64 a)))
51.2%
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
36.0%
(*.f64 b r)
36.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 677 to 2 256 computations (38.6% saved)

simplify723.0ms (4.9%)

Memory
7.4MiB live, 926.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
cost-diff0
(sin.f64 a)
cost-diff0
(/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
cost-diff6464
(fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
cost-diff0
(sin.f64 a)
cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 a))
cost-diff0
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
cost-diff0
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
cost-diff0
(+.f64 b a)
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))) r)
cost-diff-64
(*.f64 b r)
cost-diff0
(sin.f64 a)
cost-diff0
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Rules
29 428×accelerator-lowering-fma.f32
29 428×accelerator-lowering-fma.f64
3 752×*-lowering-*.f32
3 752×*-lowering-*.f64
2 136×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034213
175206
2150203
3374199
4821199
51112199
61498199
71872199
83324199
94972199
106733199
117222199
127315199
137339199
147446199
157762199
167857199
177865199
187867199
197871199
207871199
08647197
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))))
r
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))
(sin b)
b
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))
(neg (sin b))
(sin a)
a
(* (cos a) (cos b))
(cos a)
(cos b)
(* b r)
b
r
(* (* (/ 1 (cos (+ b a))) r) (sin b))
(* (/ 1 (cos (+ b a))) r)
(/ 1 (cos (+ b a)))
1
(cos (+ b a))
(+ b a)
b
a
r
(sin b)
(* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b))
(/ r (+ (* b (- 0 (sin a))) (cos a)))
r
(+ (* b (- 0 (sin a))) (cos a))
b
(- 0 (sin a))
0
(sin a)
a
(cos a)
(sin b)
(* b (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))))
b
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))
r
(/ (* b (sin a)) (pow (cos a) 2))
(* b (sin a))
(sin a)
a
(pow (cos a) 2)
(cos a)
2
(/ r (cos a))
Outputs
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))))
(fma.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))) #s(literal 0 binary64))
r
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64)))))
(sin b)
(sin.f64 b)
b
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))
(neg (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
(sin a)
(sin.f64 a)
a
(* (cos a) (cos b))
(fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64))
(cos a)
(cos.f64 a)
(cos b)
(cos.f64 b)
(* b r)
(fma.f64 r b #s(literal 0 binary64))
b
r
(* (* (/ 1 (cos (+ b a))) r) (sin b))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 0 binary64))
(* (/ 1 (cos (+ b a))) r)
(/.f64 r (cos.f64 (+.f64 b a)))
(/ 1 (cos (+ b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
1
#s(literal 1 binary64)
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a
r
(sin b)
(sin.f64 b)
(* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b))
(fma.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) #s(literal 0 binary64))
(/ r (+ (* b (- 0 (sin a))) (cos a)))
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
r
(+ (* b (- 0 (sin a))) (cos a))
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
b
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
a
(cos a)
(cos.f64 a)
(sin b)
(sin.f64 b)
(* b (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a))))
(fma.f64 (fma.f64 r b #s(literal 0 binary64)) (/.f64 (fma.f64 (sin.f64 a) (/.f64 b (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) #s(literal 0 binary64))
b
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))
(fma.f64 r (/.f64 (fma.f64 (sin.f64 a) (/.f64 b (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) #s(literal 0 binary64))
r
(/ (* b (sin a)) (pow (cos a) 2))
(fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 0 binary64))
(* b (sin a))
(fma.f64 b (sin.f64 a) #s(literal 0 binary64))
(sin a)
(sin.f64 a)
a
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos a)
(cos.f64 a)
2
#s(literal 2 binary64)
(/ r (cos a))
(/.f64 r (cos.f64 a))

localize215.0ms (1.5%)

Memory
15.0MiB live, 326.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 r (cos.f64 a))
accuracy99.8%
(*.f64 b (sin.f64 a))
accuracy99.7%
(/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
accuracy99.6%
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy100.0%
(cos.f64 a)
accuracy99.9%
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
accuracy99.8%
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))
accuracy99.8%
(/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy99.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
accuracy74.1%
(cos.f64 (+.f64 b a))
accuracy100.0%
(*.f64 b r)
accuracy99.9%
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
accuracy99.8%
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy99.7%
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
131.0ms173×1valid
20.0ms83×0valid
Compiler

Compiled 211 to 36 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-cos: 28.0ms (24% of total)
ival-mult: 24.0ms (20.5% of total)
adjust: 22.0ms (18.8% of total)
ival-sin: 17.0ms (14.6% of total)
ival-div: 12.0ms (10.3% of total)
ival-add: 7.0ms (6% of total)
ival-pow2: 4.0ms (3.4% of total)
ival-sub: 2.0ms (1.7% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.4%)

Memory
-1.5MiB live, 111.2MiB allocated
Counts
22 → 540
Calls
Call 1
Inputs
#<alt (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))>
#<alt (sin b)>
#<alt (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))>
#<alt (sin a)>
#<alt (* b r)>
#<alt (* (/ 1 (cos (+ b a))) r)>
#<alt (/ 1 (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (+ b a)>
#<alt (/ r (+ (* b (- 0 (sin a))) (cos a)))>
#<alt (+ (* b (- 0 (sin a))) (cos a))>
#<alt (- 0 (sin a))>
#<alt (+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (pow (cos a) 2)>
#<alt (* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))))>
#<alt (* (cos a) (cos b))>
#<alt (* (* (/ 1 (cos (+ b a))) r) (sin b))>
#<alt (* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b))>
#<alt (cos a)>
#<alt (* b (sin a))>
#<alt (/ r (cos a))>
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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt a>
#<alt (* a (+ 1 (* -1/6 (pow a 2))))>
#<alt (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))>
#<alt (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<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 b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 b))))>
#<alt (/ r (cos (- a (* -1 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 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 (cos a))>
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))>
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos (- a (* -1 b))))>
#<alt (/ 1 (cos b))>
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (+ a b)))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (cos (- b (* -1 a))))>
#<alt (/ 1 (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 (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 a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (* b (- (/ (* b (* r (pow (sin a) 2))) (pow (cos a) 3)) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (+ (* b (- (* b (- (/ (* b (* r (pow (sin a) 3))) (pow (cos a) 4)) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (* -1 (/ r (* b (sin a))))>
#<alt (/ (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2))))) b)>
#<alt (/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b)>
#<alt (/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 3)) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (cos a)) (* b (pow (sin a) 2))) (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) b)>
#<alt (* -1 (/ r (* b (sin a))))>
#<alt (* -1 (/ (+ (/ r (sin a)) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (pow (cos a) 2)) (* b (pow (sin a) 3)))) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos a) 3)) (* b (pow (sin a) 4))) (* -1 (/ (* r (pow (cos a) 2)) (pow (sin a) 3)))) b)) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b))>
#<alt r>
#<alt (+ r (* a (* b r)))>
#<alt (+ r (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r)))))>
#<alt (+ r (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b r)) (+ (* 1/6 (* b r)) (* b (+ (* -1 (* (pow b 2) r)) (* -1/2 r))))))) (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ r (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (/ (cos a) b)))>
#<alt (* b (+ (* -1 (sin a)) (/ (cos a) b)))>
#<alt (* b (+ (* -1 (sin a)) (/ (cos a) b)))>
#<alt (* -1 (* b (sin a)))>
#<alt (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))>
#<alt (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))>
#<alt (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* a b)))>
#<alt (+ 1 (* a (+ (* -1 b) (* -1/2 a))))>
#<alt (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (* -1 a)>
#<alt (* a (- (* 1/6 (pow a 2)) 1))>
#<alt (* a (- (* (pow a 2) (+ 1/6 (* -1/120 (pow a 2)))) 1))>
#<alt (* a (- (* (pow a 2) (+ 1/6 (* (pow a 2) (- (* 1/5040 (pow a 2)) 1/120)))) 1))>
#<alt (* -1 (sin a))>
#<alt (* -1 (sin a))>
#<alt (* -1 (sin a))>
#<alt (* -1 (sin a))>
#<alt (* -1 (sin a))>
#<alt (* -1 (sin a))>
#<alt (* -1 (sin a))>
#<alt (* -1 (sin a))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))>
#<alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))>
#<alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))>
#<alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (/ (* b (* r (sin a))) (pow (cos a) 2))>
#<alt (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (/ (* b (* r (sin a))) (pow (cos a) 2))>
#<alt (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))>
#<alt r>
#<alt (+ r (* a (* b r)))>
#<alt (+ r (* a (+ (* 1/2 (* a r)) (* b r))))>
#<alt (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (* a b)>
#<alt (* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1 b)))))>
#<alt (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b)))))>
#<alt (* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (+ (* 1/120 b) (* (pow a 2) (- (* -1/5040 b) (+ (* -1 (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b)))) (+ (* -2/45 b) (* 1/3 (- (* -1/6 b) (* -1 b)))))))) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b)))))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt (/ (* b (sin a)) (pow (cos a) 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos 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 (/ (* 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 (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<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 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* -1 (/ (* r (sin b)) (* b (sin a))))>
#<alt (/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b)>
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b)>
#<alt (* -1 (/ (* r (sin b)) (* b (sin a))))>
#<alt (* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))>
#<alt (* r (sin b))>
#<alt (+ (* a (* b (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))>
#<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 (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* a b)>
#<alt (* a (+ b (* -1/6 (* (pow a 2) b))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt r>
#<alt (+ r (* 1/2 (* (pow a 2) r)))>
#<alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
#<alt (/ r (cos a))>
Calls

135 calls:

TimeVariablePointExpression
17.0ms
b
@-inf
(* b (sin a))
5.0ms
a
@0
(/ r (+ (* b (- 0 (sin a))) (cos a)))
1.0ms
a
@inf
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))
1.0ms
a
@-inf
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))
1.0ms
r
@0
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))

rewrite449.0ms (3.1%)

Memory
-15.1MiB live, 730.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 880×/-lowering-/.f32
4 880×/-lowering-/.f64
4 032×*-lowering-*.f32
4 032×*-lowering-*.f64
3 930×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033175
1174133
21376129
08202125
Stop Event
iter limit
node limit
Counts
22 → 689
Calls
Call 1
Inputs
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b))))
(sin b)
(+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))
(sin a)
(* b r)
(* (/ 1 (cos (+ b a))) r)
(/ 1 (cos (+ b a)))
(cos (+ b a))
(+ b a)
(/ r (+ (* b (- 0 (sin a))) (cos a)))
(+ (* b (- 0 (sin a))) (cos a))
(- 0 (sin a))
(+ (* r (/ (* b (sin a)) (pow (cos a) 2))) (/ r (cos a)))
(/ (* b (sin a)) (pow (cos a) 2))
(pow (cos a) 2)
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (cos a) (cos b)))))
(* (cos a) (cos b))
(* (* (/ 1 (cos (+ b a))) r) (sin b))
(* (/ r (+ (* b (- 0 (sin a))) (cos a))) (sin b))
(cos a)
(* b (sin a))
(/ r (cos a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
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(*.f64 (sin.f64 a) b)
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a))) (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 a))))
(neg.f64 (/.f64 r (-.f64 #s(literal 0 binary64) (cos.f64 a))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 a)))
(/.f64 r (cos.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 a) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 a) r)))
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 a)))))
(pow.f64 (/.f64 (cos.f64 a) r) #s(literal -1 binary64))
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))

simplify521.0ms (3.5%)

Memory
17.6MiB live, 836.4MiB allocated
Algorithm
egg-herbie
Rules
9 976×accelerator-lowering-fma.f32
9 976×accelerator-lowering-fma.f64
7 390×*-lowering-*.f32
7 390×*-lowering-*.f64
3 658×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07336640
123746284
277596256
081396017
Stop Event
iter limit
node limit
Counts
540 → 540
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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
a
(* a (+ 1 (* -1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin 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 (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 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (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))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (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 (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (/ (* b (* r (pow (sin a) 2))) (pow (cos a) 3)) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (/ (* b (* r (pow (sin a) 3))) (pow (cos a) 4)) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(* -1 (/ r (* b (sin a))))
(/ (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2))))) b)
(/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b)
(/ (- (+ (* -1 (/ r (sin a))) (* -1 (/ (* r (pow (cos a) 3)) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (cos a)) (* b (pow (sin a) 2))) (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3))))) b)
(* -1 (/ r (* b (sin a))))
(* -1 (/ (+ (/ r (sin a)) (/ (* r (cos a)) (* b (pow (sin a) 2)))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (pow (cos a) 2)) (* b (pow (sin a) 3)))) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos a) 3)) (* b (pow (sin a) 4))) (* -1 (/ (* r (pow (cos a) 2)) (pow (sin a) 3)))) b)) (/ (* r (cos a)) (pow (sin a) 2))) b)) (/ r (sin a))) b))
r
(+ r (* a (* b r)))
(+ r (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r)))))
(+ r (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b r)) (+ (* 1/6 (* b r)) (* b (+ (* -1 (* (pow b 2) r)) (* -1/2 r))))))) (+ (* -1 (* (pow b 2) r)) (* -1/2 r)))) (* -1 (* b r)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(/ r (+ (cos a) (* -1 (* b (sin a)))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* -1 (* b (sin a)))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(* -1 a)
(* a (- (* 1/6 (pow a 2)) 1))
(* a (- (* (pow a 2) (+ 1/6 (* -1/120 (pow a 2)))) 1))
(* a (- (* (pow a 2) (+ 1/6 (* (pow a 2) (- (* 1/5040 (pow a 2)) 1/120)))) 1))
(* -1 (sin a))
(* -1 (sin a))
(* -1 (sin a))
(* -1 (sin a))
(* -1 (sin a))
(* -1 (sin a))
(* -1 (sin a))
(* -1 (sin a))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
(* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(/ (* b (* r (sin a))) (pow (cos a) 2))
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(/ (* b (* r (sin a))) (pow (cos a) 2))
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))
(* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))))
r
(+ r (* a (* b r)))
(+ r (* a (+ (* 1/2 (* a r)) (* b r))))
(+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(* a b)
(* a (+ b (* (pow a 2) (- (* -1/6 b) (* -1 b)))))
(* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b)))))
(* a (+ b (* (pow a 2) (- (+ (* -1/6 b) (* (pow a 2) (- (+ (* 1/120 b) (* (pow a 2) (- (* -1/5040 b) (+ (* -1 (- (* 1/120 b) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b)))) (+ (* -2/45 b) (* 1/3 (- (* -1/6 b) (* -1 b)))))))) (+ (* -1 (- (* -1/6 b) (* -1 b))) (* 1/3 b))))) (* -1 b)))))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
(/ (* b (sin a)) (pow (cos a) 2))
1
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(/ (* b 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)))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* -1 (/ (* r (sin b)) (* b (sin a))))
(/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b)
(* -1 (/ (* r (sin b)) (* b (sin a))))
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b))
(* r (sin b))
(+ (* a (* b (* r (sin b)))) (* r (sin b)))
(+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* a b)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
Outputs
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.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 #s(literal 1 binary64) (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))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a))) (-.f64 #s(literal 0 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.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 #s(literal 1 binary64) (cos.f64 a))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) a) (/.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 (neg.f64 (fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (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) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(/ (* r (sin b)) (+ (cos a) (* -1 (* b (sin a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(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))
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(cos a)
(cos.f64 a)
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* a b)
(*.f64 b a)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) b))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) b))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 b (fma.f64 a (*.f64 a #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 b #s(literal -1/6 binary64))) b))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
r
(+ r (* 1/2 (* (pow a 2) r)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (fma.f64 r #s(literal -5/48 binary64) (*.f64 r #s(literal 7/360 binary64))) (*.f64 r #s(literal 5/24 binary64))) (*.f64 #s(literal 1/2 binary64) r)) r)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))

eval198.0ms (1.3%)

Memory
22.6MiB live, 451.5MiB allocated
Compiler

Compiled 32 644 to 3 325 computations (89.8% saved)

prune213.0ms (1.5%)

Memory
-12.0MiB live, 601.0MiB allocated
Pruning

83 alts after pruning (80 fresh and 3 done)

PrunedKeptTotal
New1 351261 377
Fresh245478
Picked325
Done011
Total1 378831 461
Accuracy
100.0%
Counts
1 461 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
10.2%
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))))
74.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
59.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
74.0%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
74.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
51.1%
(/.f64 b (/.f64 (cos.f64 a) r))
73.7%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
60.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
56.7%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
99.4%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b)))
66.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b)))
59.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b))
54.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a))
98.9%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
52.5%
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b))
54.3%
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b)
99.5%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
36.2%
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
61.0%
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b))
66.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b))
38.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
37.8%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))))
50.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
51.3%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
29.7%
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b))
74.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
59.2%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
54.6%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
73.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
35.3%
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
53.6%
(*.f64 (*.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)) r) (sin.f64 b))
53.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) r) (sin.f64 b))
99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b))
56.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) r) (sin.f64 b))
50.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
59.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b))
54.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b))
51.2%
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
39.5%
(*.f64 (sin.f64 b) r)
38.0%
(*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))
52.3%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
51.1%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
50.9%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
52.3%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
98.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
55.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
56.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
56.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
53.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))))
52.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
79.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
60.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a))))
64.8%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))))
34.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a)))))
35.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b))))
74.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a))))))
36.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
31.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
18.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
59.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
54.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
51.2%
(*.f64 r (/.f64 b (cos.f64 a)))
37.9%
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
51.1%
(*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
29.3%
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
34.6%
(*.f64 b (/.f64 r (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))))
34.5%
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.7%
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
51.2%
(*.f64 b (/.f64 r (cos.f64 a)))
34.0%
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
36.0%
(*.f64 b r)
36.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 204 to 2 060 computations (35.7% saved)

simplify507.0ms (3.4%)

Memory
-10.5MiB live, 221.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 a)
cost-diff0
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 a))
cost-diff0
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
cost-diff-64
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
cost-diff0
(sin.f64 b)
cost-diff0
(cos.f64 b)
cost-diff0
(/.f64 r (cos.f64 b))
cost-diff-64
(*.f64 (fma.f64 b a #s(literal 1 binary64)) r)
cost-diff-64
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
cost-diff0
(fma.f64 b a #s(literal 1 binary64))
cost-diff0
(cos.f64 a)
cost-diff0
(cos.f64 b)
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
cost-diff0
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
Rules
2 776×accelerator-lowering-fma.f32
2 776×accelerator-lowering-fma.f64
1 816×*-lowering-*.f32
1 816×*-lowering-*.f64
690×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036237
174231
2143229
3302229
4560229
5846229
61411229
71988229
82416229
93031229
103680229
114106229
124207229
134215229
144221229
154473229
164637229
174645229
184669229
194689229
204695229
214695229
224695229
234695229
244695229
254699229
04699221
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b))
(/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))))
r
(+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))
(cos b)
b
(cos a)
a
(* (sin a) (- 0 (sin b)))
(sin a)
(- 0 (sin b))
0
(sin b)
(* b (* (+ (* b a) 1) r))
b
(* (+ (* b a) 1) r)
(+ (* b a) 1)
a
1
r
(* (/ r (cos b)) (sin b))
(/ r (cos b))
r
(cos b)
b
(sin b)
(/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a)))
(* (sin b) r)
(sin b)
b
r
(+ (* b (- 0 (sin a))) (cos a))
(- 0 (sin a))
0
(sin a)
a
(cos a)
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))))
r
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))
(sin b)
b
(+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))
(neg (sin b))
(sin a)
a
(* (+ (* -1/2 (* b b)) 1) (cos a))
(+ (* -1/2 (* b b)) 1)
-1/2
(* b b)
1
(cos a)
Outputs
(* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64))))
(/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))))
(/.f64 r (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64))))
r
(+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))
(-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64)))
(cos b)
(cos.f64 b)
b
(cos a)
(cos.f64 a)
a
(* (sin a) (- 0 (sin b)))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))
(sin a)
(sin.f64 a)
(- 0 (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
0
#s(literal 0 binary64)
(sin b)
(sin.f64 b)
(* b (* (+ (* b a) 1) r))
(fma.f64 (fma.f64 b a #s(literal 1 binary64)) (fma.f64 r b #s(literal 0 binary64)) #s(literal 0 binary64))
b
(* (+ (* b a) 1) r)
(fma.f64 r (fma.f64 b a #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* b a) 1)
(fma.f64 b a #s(literal 1 binary64))
a
1
#s(literal 1 binary64)
r
(* (/ r (cos b)) (sin b))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) #s(literal 0 binary64))
(/ r (cos b))
(/.f64 r (cos.f64 b))
r
(cos b)
(cos.f64 b)
b
(sin b)
(sin.f64 b)
(/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a)))
(fma.f64 (sin.f64 b) (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) #s(literal 0 binary64))
(* (sin b) r)
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
(sin b)
(sin.f64 b)
b
r
(+ (* b (- 0 (sin a))) (cos a))
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
a
(cos a)
(cos.f64 a)
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64))))
r
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64))))
(sin b)
(sin.f64 b)
b
(+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))
(-.f64 (fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (sin.f64 a) (sin.f64 b) #s(literal 0 binary64)))
(neg (sin b))
(-.f64 #s(literal 0 binary64) (sin.f64 b))
(sin a)
(sin.f64 a)
a
(* (+ (* -1/2 (* b b)) 1) (cos a))
(fma.f64 (cos.f64 a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* -1/2 (* b b)) 1)
(fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(* b b)
(fma.f64 b b #s(literal 0 binary64))
1
#s(literal 1 binary64)
(cos a)
(cos.f64 a)

localize177.0ms (1.2%)

Memory
-2.9MiB live, 238.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
accuracy99.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
accuracy99.3%
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
accuracy95.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
accuracy100.0%
(cos.f64 a)
accuracy99.9%
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
accuracy99.8%
(*.f64 (sin.f64 b) r)
accuracy99.7%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(cos.f64 b)
accuracy99.7%
(/.f64 r (cos.f64 b))
accuracy99.7%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
accuracy100.0%
(fma.f64 b a #s(literal 1 binary64))
accuracy97.7%
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
accuracy94.4%
(*.f64 (fma.f64 b a #s(literal 1 binary64)) r)
accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
accuracy99.7%
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
accuracy99.7%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
accuracy99.7%
(*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
Samples
127.0ms256×0valid
Compiler

Compiled 231 to 38 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-sin: 50.0ms (52.1% of total)
ival-mult: 20.0ms (20.8% of total)
ival-cos: 11.0ms (11.5% of total)
ival-div: 6.0ms (6.2% of total)
ival-add: 5.0ms (5.2% of total)
ival-sub: 2.0ms (2.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
29.2MiB live, 66.3MiB allocated
Counts
21 → 516
Calls
Call 1
Inputs
#<alt (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))))>
#<alt (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))>
#<alt (cos b)>
#<alt (cos a)>
#<alt (+ (* b a) 1)>
#<alt (* b (* (+ (* b a) 1) r))>
#<alt (* (+ (* b a) 1) r)>
#<alt (/ r (cos b))>
#<alt (sin b)>
#<alt (* (/ r (cos b)) (sin b))>
#<alt (/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a)))>
#<alt (+ (* b (- 0 (sin a))) (cos a))>
#<alt (- 0 (sin a))>
#<alt (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))>
#<alt (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))>
#<alt (sin a)>
#<alt (* (sin a) (- 0 (sin b)))>
#<alt (* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b))>
#<alt (* (sin b) r)>
#<alt (* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))))>
#<alt (* (+ (* -1/2 (* b b)) 1) (cos a))>
Outputs
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 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>
#<alt (+ 1 (* a b))>
#<alt (+ 1 (* a b))>
#<alt (+ 1 (* a b))>
#<alt (* a b)>
#<alt (* b (+ a (/ 1 b)))>
#<alt (* b (+ a (/ 1 b)))>
#<alt (* b (+ a (/ 1 b)))>
#<alt (* a b)>
#<alt (* -1 (* b (- (* -1 a) (/ 1 b))))>
#<alt (* -1 (* b (- (* -1 a) (/ 1 b))))>
#<alt (* -1 (* b (- (* -1 a) (/ 1 b))))>
#<alt 1>
#<alt (+ 1 (* a b))>
#<alt (+ 1 (* a b))>
#<alt (+ 1 (* a b))>
#<alt (* a b)>
#<alt (* a (+ b (/ 1 a)))>
#<alt (* a (+ b (/ 1 a)))>
#<alt (* a (+ b (/ 1 a)))>
#<alt (* a b)>
#<alt (* -1 (* a (- (* -1 b) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 b) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 b) (/ 1 a))))>
#<alt (* b r)>
#<alt (* b (+ r (* a (* b r))))>
#<alt (* b (+ r (* a (* b r))))>
#<alt (* b (+ r (* a (* b r))))>
#<alt (* a (* (pow b 2) r))>
#<alt (* (pow b 2) (+ (* a r) (/ r b)))>
#<alt (* (pow b 2) (+ (* a r) (/ r b)))>
#<alt (* (pow b 2) (+ (* a r) (/ r b)))>
#<alt (* a (* (pow b 2) r))>
#<alt (* (pow b 2) (+ (* a r) (/ r b)))>
#<alt (* (pow b 2) (+ (* a r) (/ r b)))>
#<alt (* (pow b 2) (+ (* a r) (/ r b)))>
#<alt (* b r)>
#<alt (+ (* a (* (pow b 2) r)) (* b r))>
#<alt (+ (* a (* (pow b 2) r)) (* b r))>
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#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<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 (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))>
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))>
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))>
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))>
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))>
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))>
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
Calls

129 calls:

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

rewrite365.0ms (2.5%)

Memory
-19.5MiB live, 591.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 366×accelerator-lowering-fma.f32
4 366×accelerator-lowering-fma.f64
4 252×/-lowering-/.f32
4 252×/-lowering-/.f64
3 508×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036186
1196159
21523154
08485147
Stop Event
iter limit
node limit
Counts
21 → 672
Calls
Call 1
Inputs
(/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b)))))
(+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))
(cos b)
(cos a)
(+ (* b a) 1)
(* b (* (+ (* b a) 1) r))
(* (+ (* b a) 1) r)
(/ r (cos b))
(sin b)
(* (/ r (cos b)) (sin b))
(/ (* (sin b) r) (+ (* b (- 0 (sin a))) (cos a)))
(+ (* b (- 0 (sin a))) (cos a))
(- 0 (sin a))
(/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))
(+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))
(sin a)
(* (sin a) (- 0 (sin b)))
(* (/ r (+ (* (cos b) (cos a)) (* (sin a) (- 0 (sin b))))) (sin b))
(* (sin b) r)
(* r (/ (sin b) (+ (* (neg (sin b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))))
(* (+ (* -1/2 (* b b)) 1) (cos a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) 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) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 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 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #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 b b)))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.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 (/.f64 r (*.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (cos.f64 (-.f64 b a))) (neg.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 b b))))) (cos.f64 (-.f64 b a)))))
(cos.f64 (+.f64 b a))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(-.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 b b))))) (cos.f64 (-.f64 b a))) (/.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 b b))))) (cos.f64 (-.f64 b a))))
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(*.f64 (/.f64 r (-.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 b b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(+.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(+.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a))
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))
(fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a))
(/.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(/.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (*.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (-.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))) (-.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a)))
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))
(*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))))
(*.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))

simplify501.0ms (3.4%)

Memory
11.6MiB live, 852.6MiB allocated
Algorithm
egg-herbie
Rules
10 202×accelerator-lowering-fma.f32
10 202×accelerator-lowering-fma.f64
8 148×*-lowering-*.f32
8 148×*-lowering-*.f64
3 406×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07257630
124627188
084436828
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
1
(+ 1 (* a b))
(+ 1 (* a b))
(+ 1 (* a b))
(* a b)
(* b (+ a (/ 1 b)))
(* b (+ a (/ 1 b)))
(* b (+ a (/ 1 b)))
(* a b)
(* -1 (* b (- (* -1 a) (/ 1 b))))
(* -1 (* b (- (* -1 a) (/ 1 b))))
(* -1 (* b (- (* -1 a) (/ 1 b))))
1
(+ 1 (* a b))
(+ 1 (* a b))
(+ 1 (* a b))
(* a b)
(* a (+ b (/ 1 a)))
(* a (+ b (/ 1 a)))
(* a (+ b (/ 1 a)))
(* a b)
(* -1 (* a (- (* -1 b) (/ 1 a))))
(* -1 (* a (- (* -1 b) (/ 1 a))))
(* -1 (* a (- (* -1 b) (/ 1 a))))
(* b r)
(* b (+ r (* a (* b r))))
(* b (+ r (* a (* b r))))
(* b (+ r (* a (* b r))))
(* a (* (pow b 2) r))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
(* a (* (pow b 2) r))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
(* b r)
(+ (* a (* (pow b 2) r)) (* b r))
(+ (* a (* (pow b 2) r)) (* b r))
(+ (* a (* (pow b 2) r)) (* b r))
(* a (* (pow b 2) r))
(* a (+ (* (pow b 2) r) (/ (* b r) a)))
(* a (+ (* (pow b 2) r) (/ (* b r) a)))
(* a (+ (* (pow b 2) r) (/ (* b r) a)))
(* a (* (pow b 2) r))
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
(* b (* r (+ 1 (* a b))))
r
(+ r (* a (* b r)))
(+ r (* a (* b r)))
(+ r (* a (* b r)))
(* a (* b r))
(* b (+ (* a r) (/ r b)))
(* b (+ (* a r) (/ r b)))
(* b (+ (* a r) (/ r b)))
(* a (* b r))
(* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))
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r
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r
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b
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(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
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(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b)
(* -1 (/ (* r (sin b)) (* b (sin a))))
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(cos a)
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1
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(/ (sin b) (+ 1 (* -1/2 (pow b 2))))
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(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
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(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(cos a)
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a
(* a (+ 1 (* -1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
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(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
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(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
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(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* -1 (* (sin a) (sin b)))
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(* -1 (* (sin a) (sin b)))
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(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
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(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
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(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* -1 (* (sin a) (sin b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
Outputs
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* b (- (* -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 (fma.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 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 r (sin.f64 b)) (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 (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 r (sin.f64 b)) (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 (neg.f64 (fma.f64 a (fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))) (-.f64 (*.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 b))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b)))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
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a
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (+ 1 (* -1/2 (pow b 2))))))
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(cos a)
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(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
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(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* -1/2 (* (pow b 2) (cos a)))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
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eval210.0ms (1.4%)

Memory
7.3MiB live, 502.2MiB allocated
Compiler

Compiled 38 049 to 3 778 computations (90.1% saved)

prune350.0ms (2.4%)

Memory
29.7MiB live, 664.0MiB allocated
Pruning

98 alts after pruning (94 fresh and 4 done)

PrunedKeptTotal
New1 496521 548
Fresh334275
Picked415
Done033
Total1 533981 631
Accuracy
100.0%
Counts
1 631 → 98
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
10.2%
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b)))
59.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
54.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
54.4%
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
59.1%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
74.1%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
51.1%
(/.f64 b (/.f64 (cos.f64 a) r))
58.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
58.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
34.4%
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
60.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
56.7%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
99.4%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b)))
66.8%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b)))
59.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b))
54.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a))
53.2%
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
53.0%
(*.f64 (/.f64 r (fma.f64 (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) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
52.0%
(*.f64 (/.f64 r (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
98.9%
(*.f64 (/.f64 r (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
52.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) (sin.f64 b))
53.7%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
99.4%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
50.4%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
62.4%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
62.4%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
56.2%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))) (sin.f64 b))
60.0%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
54.3%
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b)
56.4%
(*.f64 (/.f64 r (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
59.2%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b))
66.9%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b))
50.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
29.7%
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b))
74.4%
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
37.8%
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
37.7%
(*.f64 (/.f64 r (cos.f64 b)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))))
37.8%
(*.f64 (/.f64 r (cos.f64 b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
59.2%
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
36.0%
(*.f64 (/.f64 r (cos.f64 b)) b)
54.6%
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
53.0%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))
53.6%
(*.f64 (*.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)) r) (sin.f64 b))
99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b))
54.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b))
59.2%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
34.0%
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
51.2%
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
59.1%
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
39.5%
(*.f64 (sin.f64 b) r)
42.6%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64))) (sin.f64 b))
38.0%
(*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))
51.8%
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
51.3%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
56.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
60.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a))))
52.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
34.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a)))))
35.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b))))
74.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a))))))
36.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
31.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
18.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
59.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
51.2%
(*.f64 r (/.f64 b (cos.f64 a)))
37.9%
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
59.2%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
51.1%
(*.f64 r (*.f64 b (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
59.2%
(*.f64 r (tan.f64 b))
35.8%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
35.7%
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
25.2%
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
33.2%
(*.f64 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
34.6%
(*.f64 b (/.f64 r (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))))
34.5%
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.7%
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
51.2%
(*.f64 b (/.f64 r (cos.f64 a)))
33.1%
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
33.9%
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
33.2%
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
33.9%
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
13.4%
(*.f64 b (*.f64 (*.f64 a b) r))
26.6%
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
26.0%
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
36.0%
(*.f64 b r)
32.4%
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
13.7%
(*.f64 a (*.f64 r (*.f64 b b)))
36.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 5 108 to 1 904 computations (62.7% saved)

regimes430.0ms (2.9%)

Memory
1.1MiB live, 563.0MiB allocated
Counts
184 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
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(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 (/.f64 r (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))
(*.f64 r (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.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)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.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 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.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 b b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
Calls

5 calls:

117.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
93.0ms
r
85.0ms
b
66.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
58.0ms
a
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)

regimes469.0ms (3.2%)

Memory
-10.4MiB live, 459.3MiB allocated
Counts
154 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a)))))
(*.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
(*.f64 (/.f64 r (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(*.f64 (*.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)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b))))
(*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 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) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 r (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) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
(*.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))))
(*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(*.f64 r (*.f64 b (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))) (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 r (/.f64 (sin.f64 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 (cos.f64 b)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))))
(*.f64 (/.f64 r (fma.f64 (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) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Calls

5 calls:

121.0ms
r
110.0ms
a
88.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
70.0ms
b
64.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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)

regimes315.0ms (2.1%)

Memory
2.6MiB live, 377.5MiB allocated
Counts
153 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a)))))
(*.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64)))) (fma.f64 (-.f64 b a) (-.f64 b a) #s(literal 0 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
(*.f64 (/.f64 r (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(*.f64 (*.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)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (-.f64 (fma.f64 b (/.f64 (fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a)))))))))
(*.f64 (/.f64 r (cos.f64 b)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (sin.f64 b)))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (cos.f64 b))))
(*.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 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 a))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 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) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(*.f64 (/.f64 (*.f64 r (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) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
(*.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))))
(*.f64 r (*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(*.f64 r (*.f64 b (fma.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))))) (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 r (/.f64 (sin.f64 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 (cos.f64 b)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))) (sin.f64 b))))
(*.f64 (/.f64 r (fma.f64 (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) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 r (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
Outputs
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
Calls

5 calls:

85.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
74.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.0ms
b
52.0ms
r
44.0ms
a
Results
AccuracySegmentsBranch
74.4%1r
74.4%1a
74.4%1b
74.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
74.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes195.0ms (1.3%)

Memory
1.1MiB live, 161.7MiB allocated
Counts
84 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) a)))))
(*.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 b a))))))
Calls

5 calls:

51.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
49.0ms
r
37.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
31.0ms
b
23.0ms
a
Results
AccuracySegmentsBranch
74.4%1a
74.4%1r
74.4%1b
74.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
74.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes175.0ms (1.2%)

Memory
-25.7MiB live, 131.2MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (sin.f64 b)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r) (sin.f64 b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) b)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.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 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

5 calls:

55.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
42.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
30.0ms
r
24.0ms
a
21.0ms
b
Results
AccuracySegmentsBranch
74.1%1a
74.1%1r
74.1%1b
74.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
74.1%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes92.0ms (0.6%)

Memory
8.7MiB live, 128.4MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

23.0ms
r
22.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
16.0ms
b
14.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
14.0ms
a
Results
AccuracySegmentsBranch
74.1%1r
74.1%1a
74.1%1b
74.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
74.1%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes87.0ms (0.6%)

Memory
1.8MiB live, 161.4MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
Calls

5 calls:

22.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
18.0ms
r
15.0ms
a
15.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
14.0ms
b
Results
AccuracySegmentsBranch
61.4%2r
74.2%3a
74.5%3b
63.8%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
74.5%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes15.0ms (0.1%)

Memory
-13.4MiB live, 25.4MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
74.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory
17.3MiB live, 55.3MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (*.f64 (fma.f64 b a #s(literal 1 binary64)) r) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) b)
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) b)
(*.f64 (*.f64 b r) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 b a))) (sin.f64 b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 (tan.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 b (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 a b))))))
Outputs
(*.f64 r (tan.f64 b))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (tan.f64 b))
Calls

2 calls:

13.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
11.0ms
b
Results
AccuracySegmentsBranch
74.5%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
74.4%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes40.0ms (0.3%)

Memory
8.0MiB live, 89.0MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 r (tan.f64 b))
Calls

5 calls:

9.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
8.0ms
b
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
r
7.0ms
a
Results
AccuracySegmentsBranch
59.2%1r
59.2%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
59.2%1a
59.2%1b
59.2%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes38.0ms (0.3%)

Memory
13.1MiB live, 88.2MiB allocated
Accuracy

Total -18.1b remaining (-44.1%)

Threshold costs -18.1b (-44.1%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 a (*.f64 r (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 a b) r))
(*.f64 b (*.f64 (fma.f64 b a #s(literal 1 binary64)) r))
(*.f64 (*.f64 b (fma.f64 b a #s(literal 1 binary64))) r)
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r b))
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) r))
(*.f64 b (fma.f64 a (*.f64 r (fma.f64 #s(literal 1/2 binary64) a b)) r))
(*.f64 b (*.f64 a (fma.f64 r b (/.f64 r a))))
(*.f64 b (*.f64 b (fma.f64 r a (/.f64 r b))))
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 a (fma.f64 r (*.f64 b b) (/.f64 (*.f64 r b) a)))
(*.f64 b (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) b)) r))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) b (/.f64 #s(literal -1 binary64) a)))) r))
(*.f64 b (/.f64 r (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 b (/.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r) (fma.f64 b a #s(literal -1 binary64))))
(*.f64 b (*.f64 (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b a #s(literal -1 binary64)))) r))
(*.f64 b (/.f64 r (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))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal 1/24 binary64) (*.f64 r #s(literal -1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b a #s(literal -1 binary64)) (*.f64 (fma.f64 b (*.f64 a (*.f64 b a)) #s(literal -1 binary64)) r))))
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b a) r) (*.f64 (*.f64 b a) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 b a) r) r)))
Outputs
(*.f64 b r)
Calls

5 calls:

9.0ms
a
8.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
r
6.0ms
b
Results
AccuracySegmentsBranch
36.0%1b
36.0%1r
36.0%1a
36.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
36.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch34.0ms (0.2%)

Memory
-25.0MiB live, 56.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.015162374355965094
0.032367553684979504
18.0ms
-0.33446023662740487
-0.0006796533280362622
Samples
14.0ms105×1valid
7.0ms103×0valid
Compiler

Compiled 516 to 341 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (36.2% of total)
ival-add: 2.0ms (14.5% of total)
ival-div: 2.0ms (14.5% of total)
adjust: 2.0ms (14.5% of total)
ival-mult: 2.0ms (14.5% of total)
ival-sin: 2.0ms (14.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory
-10.0MiB live, 68.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.015162374355965094
0.032367553684979504
19.0ms
-0.33446023662740487
-0.0006796533280362622
Samples
16.0ms113×1valid
6.0ms95×0valid
Compiler

Compiled 451 to 302 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (32.4% of total)
ival-sin: 3.0ms (19.5% of total)
ival-add: 2.0ms (13% of total)
ival-div: 2.0ms (13% of total)
adjust: 2.0ms (13% of total)
ival-mult: 2.0ms (13% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.001434166146739469
0.001643083415177835
0.0ms
-0.029084354493429124
-0.021312641429950995
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated
Algorithm
egg-herbie
Rules
46×*-commutative_binary64
18×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080209
1115209
2131209
3140209
4145209
5146209
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.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 -5476377146882523/72057594037927936 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 1152921504606847/36028797018963968 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))))
(if (<=.f64 b #s(literal -1098878309078401/36028797018963968 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/144115188075855872 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 3458764513820541/2305843009213693952 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 b r)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (+.f64 b a) (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.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 -5476377146882523/72057594037927936 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 1152921504606847/36028797018963968 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))))
(if (<=.f64 b #s(literal -5476377146882523/72057594037927936 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 1152921504606847/36028797018963968 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (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)) #s(literal 1 binary64))) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))))
(if (<=.f64 b #s(literal -1098878309078401/36028797018963968 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))))
(if (<=.f64 b #s(literal -1098878309078401/36028797018963968 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/144115188075855872 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 3458764513820541/2305843009213693952 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -3602879701896397/144115188075855872 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 3458764513820541/2305843009213693952 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 r (tan.f64 b))
(*.f64 b r)
(*.f64 r b)

soundness1.2s (8.5%)

Memory
-31.3MiB live, 987.3MiB allocated
Rules
9 408×accelerator-lowering-fma.f32
9 408×accelerator-lowering-fma.f64
9 406×accelerator-lowering-fma.f32
9 406×accelerator-lowering-fma.f64
7 282×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
08738792
129917858
090557620
032210
1181137
21624137
09145137
0822
13922
222922
3198422
01021522
036186
1196159
21523154
08485147
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 619 to 344 computations (44.4% saved)

preprocess167.0ms (1.1%)

Memory
16.0MiB live, 173.1MiB allocated
Remove

(negabs r)

Compiler

Compiled 696 to 330 computations (52.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...