rsin B (should all be same)

Time bar (total: 14.5s)

analyze659.0ms (4.5%)

Memory
-68.3MiB live, 363.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.9s (13.4%)

Memory
-42.4MiB live, 2 671.9MiB allocated
Samples
1.4s5 882×1valid
220.0ms2 374×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-add: 341.0ms (27.8% of total)
ival-sin: 294.0ms (24% of total)
ival-cos: 264.0ms (21.5% of total)
ival-mult: 156.0ms (12.7% of total)
ival-div: 92.0ms (7.5% of total)
adjust: 69.0ms (5.6% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess110.0ms (0.8%)

Memory
-6.3MiB live, 73.5MiB allocated
Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain172.0ms (1.2%)

Memory
-7.0MiB live, 259.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
58131(2.1020727116346815e-96 -4.134416204674872e-306 -1.954575993248575e+126)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1890
Confusion
Predicted +Predicted -
+580
-13167
Precision
0.30687830687830686
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5800
-131067
Precision?
0.30687830687830686
Recall?
1.0
Freqs
test
numberfreq
067
1189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms358×1valid
11.0ms154×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-cos: 23.0ms (39.8% of total)
ival-sin: 15.0ms (26% of total)
ival-add: 5.0ms (8.7% of total)
ival-mult: 5.0ms (8.7% of total)
ival-div: 4.0ms (6.9% of total)
adjust: 4.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×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
6×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
11228
21428
31628
41728
01728
Stop Event
1×iter limit
1×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

localize59.0ms (0.4%)

Memory
6.2MiB live, 110.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 b)
✓accuracy99.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
✓accuracy99.7%
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
✓accuracy79.8%
(cos.f64 (+.f64 a b))
Samples
41.0ms179×1valid
5.0ms77×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
adjust: 9.0ms (30.5% of total)
ival-cos: 8.0ms (27.1% of total)
ival-sin: 6.0ms (20.3% of total)
ival-mult: 3.0ms (10.2% of total)
ival-add: 2.0ms (6.8% of total)
ival-div: 2.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
32.5MiB live, 32.5MiB 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
2.0ms
a
@inf
(/ (sin b) (cos (+ a b)))
2.0ms
r
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@inf
(* r (/ (sin b) (cos (+ a b))))
1.0ms
b
@0
(* r (/ (sin b) (cos (+ a b))))
1.0ms
a
@inf
(* r (/ (sin b) (cos (+ a b))))

rewrite373.0ms (2.6%)

Memory
-25.5MiB live, 655.4MiB allocated
Algorithm
1×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
1×iter limit
1×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))))

simplify1.3s (8.6%)

Memory
-9.6MiB live, 401.3MiB allocated
Algorithm
1×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
1×iter limit
1×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))

eval30.0ms (0.2%)

Memory
17.9MiB live, 55.7MiB allocated
Compiler

Compiled 4 890 to 753 computations (84.6% saved)

prune60.0ms (0.4%)

Memory
5.4MiB live, 120.7MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New22333256
Fresh000
Picked101
Done000
Total22433257
Accuracy
99.8%
Counts
257 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.5%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
79.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
▶61.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
79.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
78.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
79.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
79.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
79.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
79.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
79.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
79.6%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
79.6%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
79.4%
(*.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)))))))
54.7%
(*.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))))
55.2%
(*.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))))
55.0%
(*.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))))))
55.6%
(*.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))))
▶55.6%
(*.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))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
59.5%
(*.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))))
60.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
98.8%
(*.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)))))))))
79.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
61.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
58.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
54.7%
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
54.9%
(*.f64 r (/.f64 b (cos.f64 a)))
79.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
▶54.9%
(*.f64 b (/.f64 r (cos.f64 a)))
38.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 1 224 to 770 computations (37.1% saved)

simplify813.0ms (5.6%)

Memory
-36.0MiB live, 982.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.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)))
✓cost-diff6016
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(cos.f64 (+.f64 b a))
✓cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
✓cost-diff1024
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
✓cost-diff-64
(*.f64 r (sin.f64 b))
✓cost-diff0
(cos.f64 b)
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
✓cost-diff-64
(*.f64 b (/.f64 r (cos.f64 a)))
✓cost-diff0
(cos.f64 a)
✓cost-diff0
(/.f64 r (cos.f64 a))
✓cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
✓cost-diff0
(sin.f64 b)
✓cost-diff320
(*.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))))))
✓cost-diff6080
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
Rules
27 752×accelerator-lowering-fma.f32
27 752×accelerator-lowering-fma.f64
3 204×*-lowering-*.f32
3 204×*-lowering-*.f64
2 648×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032210
161208
2108205
3204205
4310205
5443205
6744205
71281205
82359202
94135201
105389201
115971201
126288201
136335201
146360201
156381201
166568201
176841201
186841201
196841201
08019198
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
r
(/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(sin b)
b
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(cos b)
(cos a)
a
(* (sin b) (- 0 (sin a)))
(- 0 (sin a))
0
(sin a)
(* b (/ r (cos a)))
b
(/ r (cos a))
r
(cos a)
a
(/ (* r (sin b)) (cos b))
(* r (sin b))
r
(sin b)
b
(cos b)
(/ (/ r (cos (+ b a))) (/ 1 (sin b)))
(/ r (cos (+ b a)))
r
(cos (+ b a))
(+ b a)
b
a
(/ 1 (sin b))
1
(sin b)
(* r (/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))))
r
(/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)))
(sin b)
b
(+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))
(- (* b (* (cos a) -1/2)) (sin a))
(* b (* (cos a) -1/2))
(* (cos a) -1/2)
(cos a)
a
-1/2
(sin a)
Outputs
(* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
(/.f64 r (fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
r
(/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(sin b)
(sin.f64 b)
b
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(* (sin b) (- 0 (sin a)))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
(* b (/ r (cos a)))
(fma.f64 r (/.f64 b (cos.f64 a)) #s(literal 0 binary64))
b
(/ r (cos a))
(/.f64 r (cos.f64 a))
r
(cos a)
(cos.f64 a)
a
(/ (* r (sin b)) (cos b))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) #s(literal 0 binary64))
(* r (sin b))
(fma.f64 r (sin.f64 b) #s(literal 0 binary64))
r
(sin b)
(sin.f64 b)
b
(cos b)
(cos.f64 b)
(/ (/ r (cos (+ b a))) (/ 1 (sin b)))
(/.f64 (fma.f64 r (sin.f64 b) #s(literal 0 binary64)) (cos.f64 (+.f64 b a)))
(/ 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
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
1
#s(literal 1 binary64)
(sin b)
(sin.f64 b)
(* r (/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (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 b (sin.f64 a) #s(literal 0 binary64))))
r
(/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (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 b (sin.f64 a) #s(literal 0 binary64))))
(sin b)
(sin.f64 b)
b
(+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (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 b (sin.f64 a) #s(literal 0 binary64)))
(- (* b (* (cos a) -1/2)) (sin a))
(-.f64 (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (sin.f64 a))
(* b (* (cos a) -1/2))
(fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (cos a) -1/2)
(fma.f64 (cos.f64 a) #s(literal -1/2 binary64) #s(literal 0 binary64))
(cos a)
(cos.f64 a)
a
-1/2
#s(literal -1/2 binary64)
(sin a)
(sin.f64 a)

localize222.0ms (1.5%)

Memory
1.1MiB live, 273.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
✓accuracy99.8%
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
✓accuracy99.4%
(/.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)))
✓accuracy94.7%
(*.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))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 b))
✓accuracy99.7%
(/.f64 r (cos.f64 (+.f64 b a)))
✓accuracy99.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
✓accuracy79.8%
(cos.f64 (+.f64 b a))
✓accuracy100.0%
(sin.f64 b)
✓accuracy100.0%
(cos.f64 b)
✓accuracy99.8%
(*.f64 r (sin.f64 b))
✓accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
✓accuracy100.0%
(cos.f64 a)
✓accuracy99.9%
(*.f64 b (/.f64 r (cos.f64 a)))
✓accuracy99.8%
(/.f64 r (cos.f64 a))
✓accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
✓accuracy99.7%
(*.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))))))
✓accuracy99.7%
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
✓accuracy99.7%
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
Samples
122.0ms179×1valid
18.0ms77×0valid
Compiler

Compiled 211 to 34 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-div: 27.0ms (24.4% of total)
ival-mult: 26.0ms (23.5% of total)
ival-cos: 24.0ms (21.7% of total)
ival-sin: 16.0ms (14.5% of total)
adjust: 8.0ms (7.2% of total)
ival-add: 6.0ms (5.4% of total)
ival-sub: 4.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.5%)

Memory
0.1MiB live, 123.9MiB allocated
Counts
21 → 516
Calls
Call 1
Inputs
#<alt (/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))>
#<alt (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))>
#<alt (sin b)>
#<alt (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))>
#<alt (/ r (cos a))>
#<alt (cos a)>
#<alt (* b (/ r (cos a)))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (cos b)>
#<alt (* r (sin b))>
#<alt (/ (/ r (cos (+ b a))) (/ 1 (sin b)))>
#<alt (/ r (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (+ b a)>
#<alt (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))>
#<alt (/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)))>
#<alt (- (* b (* (cos a) -1/2)) (sin a))>
#<alt (* (sin b) (- 0 (sin a)))>
#<alt (/ 1 (sin b))>
#<alt (* r (/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))))>
#<alt (* b (* (cos a) -1/2))>
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 (/ (* 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 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 (/ 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)))))>
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#<alt (/ 1 (sin b))>
#<alt (/ 1 (sin b))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (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))) (* -1/2 (/ 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 (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 (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* -8 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow b 2) (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2))>
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* b (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* b (pow (cos a) 3))))) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) b)) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))>
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))>
#<alt (+ (/ (* a (* b (* r (sin b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 b)>
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
Calls

129 calls:

TimeVariablePointExpression
10.0ms
a
@0
(+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))
5.0ms
r
@0
(* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
2.0ms
a
@0
(/ r (cos a))
2.0ms
b
@inf
(/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
2.0ms
a
@inf
(/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))

rewrite377.0ms (2.6%)

Memory
38.7MiB live, 746.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 986×accelerator-lowering-fma.f32
4 986×accelerator-lowering-fma.f64
3 938×/-lowering-/.f32
3 938×/-lowering-/.f64
3 936×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032184
1173141
21314141
08486138
Stop Event
1×iter limit
1×node limit
Counts
21 → 759
Calls
Call 1
Inputs
(/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(* r (/ (sin b) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
(sin b)
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(/ r (cos a))
(cos a)
(* b (/ r (cos a)))
(/ (* r (sin b)) (cos b))
(cos b)
(* r (sin b))
(/ (/ r (cos (+ b a))) (/ 1 (sin b)))
(/ r (cos (+ b a)))
(cos (+ b a))
(+ b a)
(+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))
(/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)))
(- (* b (* (cos a) -1/2)) (sin a))
(* (sin b) (- 0 (sin a)))
(/ 1 (sin b))
(* r (/ (sin b) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))))
(* b (* (cos a) -1/2))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (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) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 #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 #s(literal 0 binary64) (sin.f64 b))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.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 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.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))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.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 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.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))))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 b a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) (/.f64 (cos.f64 (-.f64 b a)) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (cos.f64 (-.f64 b a)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(neg.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
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(fma.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)) #s(literal 0 binary64))
(fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b #s(literal 0 binary64))
(fma.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64))
(/.f64 (fma.f64 (pow.f64 (*.f64 b (cos.f64 a)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/4 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64))
(*.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))

simplify485.0ms (3.3%)

Memory
27.2MiB live, 884.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 156×accelerator-lowering-fma.f32
10 156×accelerator-lowering-fma.f64
8 164×*-lowering-*.f32
8 164×*-lowering-*.f64
3 542×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07587272
124696990
083426700
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
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))))
(/ (* 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))))
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)))
(/ 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 (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(* b r)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (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)
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(/ 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)))))) (* 1/2 (/ 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))))
(* -2 (/ (sin b) (* (pow b 2) (cos a))))
(/ (+ (* -2 (/ (sin b) (cos a))) (* 4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (+ (* -8 (/ (* (sin a) (sin b)) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2)))) (+ (* 4 (/ (sin b) (* (pow b 2) (cos a)))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2))
(* -2 (/ (sin b) (* (pow b 2) (cos a))))
(/ (+ (* -2 (/ (sin b) (cos a))) (* 4 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (pow b 2))
(/ (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (- (+ (* 4 (/ (sin b) (* b (cos a)))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (* b (pow (cos a) 3))))) (* 4 (/ (* (sin a) (sin b)) (pow (cos a) 2)))) b))) (pow b 2))
(/ (+ (* -2 (/ (sin b) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* (sin a) (sin b)) (* b (pow (cos a) 2))))) (+ (* 4 (/ (sin b) (cos a))) (* 8 (/ (* (pow (sin a) 2) (sin b)) (pow (cos a) 3))))) b)) (* 4 (/ (* (sin a) (sin b)) (pow (cos a) 2)))) b))) (pow b 2))
(/ (sin b) (+ 1 (* -1/2 (pow b 2))))
(+ (/ (sin b) (+ 1 (* -1/2 (pow b 2)))) (/ (* a (* b (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* (sin b) (- (* 1/4 (pow b 2)) 1/2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* (sin b) (- (* 1/4 (pow b 2)) 1/2)) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* (sin b) (- (* 1/4 (pow b 2)) 1/2)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (sin b)) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (sin b) (+ 1 (* -1/2 (pow b 2)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (sin b) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(* -1 (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(* -1/2 (* b (cos a)))
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* -1/2 (* b (cos a)))
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))
(* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))
(* -1/2 b)
(+ (* -1 a) (* -1/2 b))
(+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))
(+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(- (* -1/2 (* b (cos a))) (sin a))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ 1 b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (* -1/2 (/ (* r (sin a)) (pow (cos a) 2)))))) (* -1/6 (/ r (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))))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* -8 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow b 2) (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2))
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* b (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* b (pow (cos a) 3))))) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) b)) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))
(+ (/ (* a (* b (* r (sin b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
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 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #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) (cos.f64 a)))) (-.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 (/.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 #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)))
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a)))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(*.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(fma.f64 b #s(literal -1/2 binary64) (*.f64 a (*.f64 a (*.f64 b (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 #s(literal 1/1440 binary64) (*.f64 a a) #s(literal -1/48 binary64))) (*.f64 b #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))

eval281.0ms (1.9%)

Memory
-12.1MiB live, 432.8MiB allocated
Compiler

Compiled 34 846 to 3 356 computations (90.4% saved)

prune275.0ms (1.9%)

Memory
-40.7MiB live, 572.5MiB allocated
Pruning

81 alts after pruning (79 fresh and 2 done)

PrunedKeptTotal
New1 421701 491
Fresh19928
Picked325
Done000
Total1 443811 524
Accuracy
100.0%
Counts
1 524 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
99.4%
(/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
51.4%
(/.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.1%
(/.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
79.5%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
61.6%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
99.3%
(/.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
64.5%
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
72.5%
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
29.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
▶55.2%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
54.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
54.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) b))
▶35.2%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
58.3%
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
79.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
37.0%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
79.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
32.1%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 b))
✓61.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
31.4%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 b))
54.9%
(/.f64 (*.f64 b r) (cos.f64 a))
5.7%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 b) r)) (*.f64 b (*.f64 b (cos.f64 a))))
79.6%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
79.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
61.6%
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
54.9%
(/.f64 b (/.f64 (cos.f64 a) r))
78.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
61.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
30.3%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
98.9%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.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))))))))
79.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
79.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
54.9%
(*.f64 (/.f64 b (cos.f64 a)) r)
79.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
79.6%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
61.7%
(*.f64 (tan.f64 b) r)
99.4%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
51.8%
(*.f64 r (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.6%
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
▶55.3%
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
54.5%
(*.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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
55.2%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
54.6%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
55.0%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
56.0%
(*.f64 r (/.f64 (sin.f64 b) (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 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
51.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
88.2%
(*.f64 r (/.f64 (sin.f64 b) (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)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (*.f64 (sin.f64 b) (sin.f64 a))))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (sin.f64 a)))))
68.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 a (sin.f64 b))))))
62.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
▶99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
62.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
35.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))
60.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
59.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
99.0%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
58.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
55.4%
(*.f64 r (/.f64 b (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
98.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 a 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 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)))))))
98.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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)))))))))
79.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
36.4%
(*.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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
36.4%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
35.3%
(*.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))))
35.2%
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))))
35.4%
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓54.9%
(*.f64 b (/.f64 r (cos.f64 a)))
54.9%
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
▶36.5%
(*.f64 b r)
38.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
31.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 3 397 to 2 189 computations (35.6% saved)

simplify281.0ms (1.9%)

Memory
51.2MiB live, 477.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
✓cost-diff0
(*.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)))
✓cost-diff0
(/.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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
✓cost-diff0
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
✓cost-diff0
(cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
✓cost-diff0
(/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))))
✓cost-diff320
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
✓cost-diff1088
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(cos.f64 (+.f64 b a))
✓cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
✓cost-diff768
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
✓cost-diff0
(*.f64 b r)
✓cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
✓cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
Rules
7 606×accelerator-lowering-fma.f32
7 606×accelerator-lowering-fma.f64
4 224×*-lowering-*.f32
4 224×*-lowering-*.f64
1 972×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052396
1124380
2240380
3587380
41280380
52536380
65766380
08043361
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))
r
(/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(sin b)
b
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))
(cos b)
(cos a)
a
(neg (* (sin b) (sin a)))
(* (sin b) (sin a))
(sin a)
(* b r)
b
r
(/ (/ r (cos (+ b a))) (/ (+ (* b (* b 1/6)) 1) b))
(/ r (cos (+ b a)))
r
(cos (+ b a))
(+ b a)
b
a
(/ (+ (* b (* b 1/6)) 1) b)
(+ (* b (* b 1/6)) 1)
(* b 1/6)
1/6
1
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 (sin b)))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))
r
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))
(* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))
(+ (* a (* a a)) (* b (* b b)))
a
(* a a)
(* b (* b b))
b
(* b b)
(/ 1 (+ (* a (- a b)) (* b b)))
1
(+ (* a (- a b)) (* b b))
(- a b)
(/ 1 (sin b))
(sin b)
(* r (/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
r
(/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1))
b
(+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)
(* b (+ (* (* b b) 1/120) -1/6))
(+ (* (* b b) 1/120) -1/6)
(* b b)
1/120
-1/6
1
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(cos b)
(cos a)
a
(* (sin b) (- 0 (sin a)))
(sin b)
(- 0 (sin a))
0
(sin a)
Outputs
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))))
r
(/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))))
(sin b)
(sin.f64 b)
b
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(neg (* (sin b) (sin a)))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))
(* (sin b) (sin a))
(fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))
(sin a)
(sin.f64 a)
(* b r)
(*.f64 r b)
b
r
(/ (/ r (cos (+ b a))) (/ (+ (* b (* b 1/6)) 1) b))
(/.f64 (*.f64 r b) (*.f64 (cos.f64 (+.f64 b a)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 b b #s(literal 0 binary64)) #s(literal 1 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
(/ (+ (* b (* b 1/6)) 1) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 b b #s(literal 0 binary64)) #s(literal 1 binary64)) b)
(+ (* b (* b 1/6)) 1)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 b b #s(literal 0 binary64)) #s(literal 1 binary64))
(* b 1/6)
(*.f64 b #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 (sin b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))))
r
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))
(cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))
(/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
(+ (* a (* a a)) (* b (* b b)))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))
a
(* a a)
(fma.f64 a a #s(literal 0 binary64))
(* b (* b b))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
b
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(/ 1 (+ (* a (- a b)) (* b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ (* a (- a b)) (* b b))
(fma.f64 b (-.f64 b a) (fma.f64 a a #s(literal 0 binary64)))
(- a b)
(-.f64 a b)
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin b)
(sin.f64 b)
(* r (/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
(/.f64 (*.f64 r (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))))
r
(/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(/.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))))
(* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1))
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
b
(+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)
(fma.f64 b (*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(* b (+ (* (* b b) 1/120) -1/6))
(*.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(+ (* (* b b) 1/120) -1/6)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(* (sin b) (- 0 (sin a)))
(fma.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal 0 binary64))
(sin b)
(sin.f64 b)
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)

localize357.0ms (2.5%)

Memory
19.7MiB live, 560.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
✓accuracy99.6%
(*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
✓accuracy99.6%
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓accuracy98.1%
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))
✓accuracy95.7%
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
✓accuracy80.1%
(cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
✓accuracy40.0%
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
✓accuracy99.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
✓accuracy99.5%
(*.f64 b #s(literal 1/6 binary64))
✓accuracy80.1%
(cos.f64 (+.f64 b a))
✓accuracy78.8%
(/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b)
✓accuracy100.0%
(*.f64 b r)
✓accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
✓accuracy99.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
✓accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
✓accuracy99.7%
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Samples
217.0ms182×1valid
58.0ms73×0valid
7.0ms1×5exit
Compiler

Compiled 401 to 54 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-mult: 66.0ms (29.7% of total)
ival-cos: 52.0ms (23.4% of total)
ival-add: 29.0ms (13% of total)
ival-div: 28.0ms (12.6% of total)
ival-sin: 17.0ms (7.6% of total)
const: 13.0ms (5.8% of total)
adjust: 11.0ms (4.9% of total)
ival-sub: 4.0ms (1.8% of total)
ival-neg: 2.0ms (0.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (0.7%)

Memory
-45.5MiB live, 205.5MiB allocated
Counts
25 → 588
Calls
Call 1
Inputs
#<alt (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))>
#<alt (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))>
#<alt (sin b)>
#<alt (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))>
#<alt (* b r)>
#<alt (/ (/ r (cos (+ b a))) (/ (+ (* b (* b 1/6)) 1) b))>
#<alt (/ r (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (+ b a)>
#<alt (/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 (sin b)))>
#<alt (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))>
#<alt (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))>
#<alt (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))>
#<alt (* r (/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))>
#<alt (/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))>
#<alt (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1))>
#<alt (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)>
#<alt (* (sin b) (sin a))>
#<alt (/ (+ (* b (* b 1/6)) 1) b)>
#<alt (* b 1/6)>
#<alt (+ (* a (* a a)) (* b (* b b)))>
#<alt (/ 1 (+ (* a (- a b)) (* b b)))>
#<alt (+ (* (* b b) 1/120) -1/6)>
#<alt (* b (+ (* (* b b) 1/120) -1/6))>
#<alt (* (sin b) (- 0 (sin a)))>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
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#<alt (+ a b)>
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#<alt b>
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#<alt (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))>
#<alt (* 1/120 (pow b 4))>
#<alt (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* 1/120 (pow b 4))>
#<alt (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) b)>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) b)>
#<alt (/ (+ 1 (* 1/6 (pow b 2))) b)>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (/ 1 (pow b 2))))>
#<alt (* b (+ 1/6 (/ 1 (pow b 2))))>
#<alt (* b (+ 1/6 (/ 1 (pow b 2))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (/ 1 (pow b 2))))>
#<alt (* b (+ 1/6 (/ 1 (pow b 2))))>
#<alt (* b (+ 1/6 (/ 1 (pow b 2))))>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (pow b 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ a (pow b 3)))>
#<alt (+ (* a (+ (* -1 (/ (pow a 2) (pow b 5))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))>
#<alt (+ (* a (+ (* (pow a 2) (- (* -1 (/ a (pow b 6))) (/ 1 (pow b 5)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (/ b a)) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (/ b a)) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (/ 1 (pow a 2)) (/ b (pow a 3)))>
#<alt (+ (* b (+ (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))>
#<alt (+ (* b (+ (* (pow b 2) (- (* -1 (/ b (pow a 6))) (/ 1 (pow a 5)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ a b)) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ a b)) (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b))) (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b))) (pow b 2))>
#<alt -1/6>
#<alt (- (* 1/120 (pow b 2)) 1/6)>
#<alt (- (* 1/120 (pow b 2)) 1/6)>
#<alt (- (* 1/120 (pow b 2)) 1/6)>
#<alt (* 1/120 (pow b 2))>
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* 1/120 (pow b 2))>
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* -1/6 b)>
#<alt (* b (- (* 1/120 (pow b 2)) 1/6))>
#<alt (* b (- (* 1/120 (pow b 2)) 1/6))>
#<alt (* b (- (* 1/120 (pow b 2)) 1/6))>
#<alt (* 1/120 (pow b 3))>
#<alt (* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))>
#<alt (* 1/120 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))>
#<alt (* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))>
#<alt (* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
Calls

147 calls:

TimeVariablePointExpression
19.0ms
r
@0
(* r (/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
8.0ms
b
@0
(+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)
7.0ms
r
@0
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))
3.0ms
r
@0
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 (sin b)))
3.0ms
b
@-inf
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 (sin b)))

rewrite521.0ms (3.6%)

Memory
3.5MiB live, 928.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 362×/-lowering-/.f32
5 362×/-lowering-/.f64
5 008×*-lowering-*.f32
5 008×*-lowering-*.f64
3 016×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052203
1312197
22422197
08943184
Stop Event
1×iter limit
1×node limit
Counts
25 → 1 323
Calls
Call 1
Inputs
(* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))))
(/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
(sin b)
(+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))
(* b r)
(/ (/ r (cos (+ b a))) (/ (+ (* b (* b 1/6)) 1) b))
(/ r (cos (+ b a)))
(cos (+ b a))
(+ b a)
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 (sin b)))
(* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))
(* r (/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))))
(/ (* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(* b (+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1))
(+ (* b (* b (+ (* (* b b) 1/120) -1/6))) 1)
(* (sin b) (sin a))
(/ (+ (* b (* b 1/6)) 1) b)
(* b 1/6)
(+ (* a (* a a)) (* b (* b b)))
(/ 1 (+ (* a (- a b)) (* b b)))
(+ (* (* b b) 1/120) -1/6)
(* b (+ (* (* b b) 1/120) -1/6))
(* (sin b) (- 0 (sin a)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))) (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(/.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 r (-.f64 #s(literal 0 binary64) (sin.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (sin.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) r)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 r (*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
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(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64)))) (-.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b #s(literal -1/6 binary64))))
(/.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))
(/.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) b) (-.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))) (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (*.f64 b #s(literal -1/6 binary64))))) (neg.f64 (-.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) b)) (neg.f64 (-.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) b)) (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b)
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal -2 binary64)) (/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))) #s(literal -2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 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 #s(literal 2 binary64) b))))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(fma.f64 #s(literal 0 binary64) (sin.f64 b) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (sin.f64 a))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (sin.f64 b)) (sin.f64 a))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 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 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a))
(*.f64 (/.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 a)) (/.f64 (sin.f64 b) (sin.f64 a)))

simplify551.0ms (3.8%)

Memory
42.7MiB live, 903.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 144×accelerator-lowering-fma.f32
9 144×accelerator-lowering-fma.f64
7 756×*-lowering-*.f32
7 756×*-lowering-*.f64
3 716×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082710222
127769644
083439210
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* b r)
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(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -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))))
(* 1/120 (/ (* (pow b 5) r) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (* 1/120 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* 1/120 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* 1/120 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))
(* 1/120 (/ (* (pow b 5) r) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (* (pow b 5) (+ (* -1/120 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))))
(* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/120 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))))
(* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (+ (* -1/120 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ r (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b))
(+ (/ (* a (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))) (pow (cos b) 2)) (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* b (* r (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 3))) (* -1/2 (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)))))) (* -1 (/ (* b (* r (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2))))) (/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (cos b)))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* 1/120 (/ (pow b 5) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* (pow b 5) (- (* 1/120 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/6 (/ 1 (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))
(* (pow b 5) (- (+ (/ 1 (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (/ 1/6 (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))
(* (pow b 5) (- (+ (/ 1 (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (/ 1/6 (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))
(* 1/120 (/ (pow b 5) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))) (* 1/120 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))))
(* -1 (* (pow b 5) (- (/ 1/6 (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (+ (/ 1 (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))))
(* -1 (* (pow b 5) (- (/ 1/6 (* (pow b 2) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (+ (/ 1 (* (pow b 4) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) (* 1/120 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (cos b))
(+ (/ (* a (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2)) (/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))))) (* -1 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* b (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* b (* (pow (sin b) 2) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))))) (* -1 (/ (* b (* (sin b) (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (+ (* -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) (- (* 1/120 (pow b 2)) 1/6))))
(* 1/120 (pow b 5))
(* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* 1/120 (pow b 5))
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))
1
(+ 1 (* -1/6 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))
(+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))
(* 1/120 (pow b 4))
(* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* 1/120 (pow b 4))
(* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(/ 1 b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(* 1/6 b)
(* b (+ 1/6 (/ 1 (pow b 2))))
(* b (+ 1/6 (/ 1 (pow b 2))))
(* b (+ 1/6 (/ 1 (pow b 2))))
(* 1/6 b)
(* b (+ 1/6 (/ 1 (pow b 2))))
(* b (+ 1/6 (/ 1 (pow b 2))))
(* b (+ 1/6 (/ 1 (pow b 2))))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(pow b 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(pow a 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow b 3)
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ a (pow b 3)))
(+ (* a (+ (* -1 (/ (pow a 2) (pow b 5))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(+ (* a (+ (* (pow a 2) (- (* -1 (/ a (pow b 6))) (/ 1 (pow b 5)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a))) (pow a 2))
(/ 1 (pow a 2))
(+ (/ 1 (pow a 2)) (/ b (pow a 3)))
(+ (* b (+ (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(+ (* b (+ (* (pow b 2) (- (* -1 (/ b (pow a 6))) (/ 1 (pow a 5)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ a b)) (pow b 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ a b)) (pow b 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b))) (pow b 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b))) (pow b 2))
-1/6
(- (* 1/120 (pow b 2)) 1/6)
(- (* 1/120 (pow b 2)) 1/6)
(- (* 1/120 (pow b 2)) 1/6)
(* 1/120 (pow b 2))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* 1/120 (pow b 2))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* -1/6 b)
(* b (- (* 1/120 (pow b 2)) 1/6))
(* b (- (* 1/120 (pow b 2)) 1/6))
(* b (- (* 1/120 (pow b 2)) 1/6))
(* 1/120 (pow b 3))
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 3) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* 1/120 (pow b 3))
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
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(/ r (cos (+ a b)))
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(/ r (cos (+ a b)))
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(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
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(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos a)
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(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
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(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)))
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(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))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(fma.f64 b (/.f64 a b) b)
(* b (+ 1 (/ a b)))
(fma.f64 b (/.f64 a b) b)
(* b (+ 1 (/ a b)))
(fma.f64 b (/.f64 a b) b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
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(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) b)
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) a)) a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) a)) a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b (-.f64 #s(literal 0 binary64) a)) a)
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* 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)))
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(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* r (sin b)) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* r (sin b)) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* r (sin b)) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* r (sin b)) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
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(/ (* r (sin b)) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
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b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
(* a (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 b a))))
(* a (- (+ 1 (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 b a))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
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(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(* 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)))))))))
(*.f64 a (fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))

eval289.0ms (2%)

Memory
-14.2MiB live, 727.8MiB allocated
Compiler

Compiled 65 792 to 4 937 computations (92.5% saved)

prune393.0ms (2.7%)

Memory
-9.0MiB live, 935.6MiB allocated
Pruning

97 alts after pruning (93 fresh and 4 done)

PrunedKeptTotal
New1 984292 013
Fresh106474
Picked325
Done022
Total1 997972 094
Accuracy
100.0%
Counts
2 094 → 97
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
55.1%
(/.f64 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
99.4%
(/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
51.4%
(/.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.1%
(/.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
55.5%
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
55.5%
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
55.2%
(/.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
79.5%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
61.6%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
99.3%
(/.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
64.5%
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
72.5%
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
29.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
54.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
54.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) b))
4.2%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
16.2%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (*.f64 a a)))) (/.f64 b a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
17.7%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
▶18.0%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
20.5%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
27.3%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
27.3%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
▶26.9%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
18.3%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
43.8%
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
43.1%
(/.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
58.3%
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
79.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
37.0%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
79.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
55.3%
(/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a)))
32.1%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 b))
✓61.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
31.4%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 b))
54.9%
(/.f64 (*.f64 r b) (cos.f64 a))
4.2%
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
5.7%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 b) r)) (*.f64 b (*.f64 b (cos.f64 a))))
79.6%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
79.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
61.6%
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
54.9%
(/.f64 b (/.f64 (cos.f64 a) r))
78.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
79.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
61.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
30.3%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
98.9%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.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))))))))
79.5%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
79.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
79.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
54.9%
(*.f64 (/.f64 b (cos.f64 a)) r)
79.6%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
61.7%
(*.f64 (tan.f64 b) r)
99.4%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
51.8%
(*.f64 r (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.6%
(*.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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
44.1%
(*.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 (cos.f64 b) (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)))))
54.8%
(*.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 (cos.f64 b) (cos.f64 a) (*.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))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
54.6%
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
54.6%
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
54.5%
(*.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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
54.6%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
55.0%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
56.0%
(*.f64 r (/.f64 (sin.f64 b) (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 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
51.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
▶99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
88.2%
(*.f64 r (/.f64 (sin.f64 b) (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)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (*.f64 (sin.f64 b) (sin.f64 a))))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (sin.f64 a)))))
✓99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
68.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))))
62.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
56.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))))
35.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))
60.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
▶59.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
99.0%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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 a a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
98.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))))
58.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
55.4%
(*.f64 r (/.f64 b (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
98.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 a 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 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)))))))
98.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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)))))))))
79.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
36.4%
(*.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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
▶36.4%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
35.3%
(*.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))))
35.2%
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))))
35.4%
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓54.9%
(*.f64 b (/.f64 r (cos.f64 a)))
54.9%
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
✓36.5%
(*.f64 b r)
38.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
31.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 4 564 to 2 749 computations (39.8% saved)

simplify357.0ms (2.5%)

Memory
9.8MiB live, 517.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
✓cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
✓cost-diff384
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
✓cost-diff0
(/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)))))
✓cost-diff320
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))
✓cost-diff512
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)))
✓cost-diff1088
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
✓cost-diff0
(cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
✓cost-diff0
(/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))))
✓cost-diff320
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
✓cost-diff1088
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
✓cost-diff-64
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
✓cost-diff0
(*.f64 r #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 b (*.f64 r #s(literal 1/3 binary64)))
✓cost-diff0
(fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)
✓cost-diff0
(sin.f64 b)
✓cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
✓cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
✓cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
Rules
7 302×accelerator-lowering-fma.f32
7 302×accelerator-lowering-fma.f64
4 182×*-lowering-*.f32
4 182×*-lowering-*.f64
1 890×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048422
1108400
2234394
3535392
41054392
51931384
63513382
75283382
08552370
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* r (/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))))
r
(/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b)))))
(sin b)
b
(+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))
(cos b)
(cos a)
a
(/ (- 0 (sin a)) (/ 1 (sin b)))
(- 0 (sin a))
0
(sin a)
(/ 1 (sin b))
1
(* b (+ (* b (* b (* r 1/3))) r))
b
(+ (* b (* b (* r 1/3))) r)
(* b (* r 1/3))
(* r 1/3)
r
1/3
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 b))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))
r
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))
(* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))
(+ (* a (* a a)) (* b (* b b)))
a
(* a a)
(* b (* b b))
b
(* b b)
(/ 1 (+ (* a (- a b)) (* b b)))
1
(+ (* a (- a b)) (* b b))
(- a b)
(/ 1 b)
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))) (/ 1 (sin b)))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))))
r
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))
(* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))
(+ (* a (* a a)) (* b (* b b)))
a
(* a a)
(* b (* b b))
b
(* b b)
(/ (+ 1 (/ b a)) (* a a))
(+ 1 (/ b a))
1
(/ b a)
(/ 1 (sin b))
(sin b)
(* r (/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))))
r
(/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a)))))
(sin b)
b
(+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))
1
(cos a)
a
(* (sin b) (- 0 (sin a)))
(- 0 (sin a))
0
(sin a)
Outputs
(* r (/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64))))
r
(/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64))))
(sin b)
(sin.f64 b)
b
(+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(/ (- 0 (sin a)) (/ 1 (sin b)))
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64))
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
1
#s(literal 1 binary64)
(* b (+ (* b (* b (* r 1/3))) r))
(*.f64 r (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
b
(+ (* b (* b (* r 1/3))) r)
(*.f64 r (fma.f64 b (*.f64 b #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* b (* r 1/3))
(*.f64 b (*.f64 r #s(literal 1/3 binary64)))
(* r 1/3)
(*.f64 r #s(literal 1/3 binary64))
r
1/3
#s(literal 1/3 binary64)
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 b))
(/.f64 (*.f64 r b) (cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (-.f64 a b) #s(literal 0 binary64))))))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (-.f64 a b) #s(literal 0 binary64))))))
r
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))
(cos.f64 (/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (-.f64 a b) #s(literal 0 binary64)))))
(* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))
(/.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (-.f64 a b) #s(literal 0 binary64))))
(+ (* a (* a a)) (* b (* b b)))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))
a
(* a a)
(fma.f64 a a #s(literal 0 binary64))
(* b (* b b))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
b
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(/ 1 (+ (* a (- a b)) (* b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 a (-.f64 a b) #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ (* a (- a b)) (* b b))
(fma.f64 b b (fma.f64 a (-.f64 a b) #s(literal 0 binary64)))
(- a b)
(-.f64 a b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))) (/ 1 (sin b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 b a) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) b) a)))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))))
(/.f64 r (cos.f64 (+.f64 (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 b a) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) b) a)))
r
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))
(cos.f64 (+.f64 (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 b a) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) b) a))
(* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))
(+.f64 (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 b a) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) b) a)
(+ (* a (* a a)) (* b (* b b)))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))
a
(* a a)
(fma.f64 a a #s(literal 0 binary64))
(* b (* b b))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
b
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(/ (+ 1 (/ b a)) (* a a))
(/.f64 (+.f64 b a) (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(/ b a)
(/.f64 b a)
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin b)
(sin.f64 b)
(* r (/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))
r
(/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a)))))
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64))))
(sin b)
(sin.f64 b)
b
(+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))
(-.f64 (cos.f64 a) (fma.f64 (sin.f64 b) (sin.f64 a) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(cos a)
(cos.f64 a)
a
(* (sin b) (- 0 (sin a)))
(fma.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)) #s(literal 0 binary64))
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)

localize319.0ms (2.2%)

Memory
10.4MiB live, 650.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
✓accuracy99.8%
(/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
✓accuracy99.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
✓accuracy99.7%
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
✓accuracy98.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))
✓accuracy95.7%
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
✓accuracy60.9%
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)))
✓accuracy46.4%
(cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))
✓accuracy95.7%
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
✓accuracy80.1%
(cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
✓accuracy40.0%
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
✓accuracy99.9%
(fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)
✓accuracy99.9%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
✓accuracy99.7%
(*.f64 b (*.f64 r #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 r #s(literal 1/3 binary64))
✓accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
✓accuracy99.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
✓accuracy99.7%
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
✓accuracy99.5%
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
Samples
208.0ms213×1valid
24.0ms42×0valid
4.0ms1×5exit
Compiler

Compiled 458 to 50 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-mult: 49.0ms (27.1% of total)
ival-cos: 39.0ms (21.6% of total)
ival-div: 34.0ms (18.8% of total)
ival-sin: 23.0ms (12.7% of total)
adjust: 14.0ms (7.7% of total)
ival-add: 12.0ms (6.6% of total)
const: 5.0ms (2.8% of total)
ival-sub: 4.0ms (2.2% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series115.0ms (0.8%)

Memory
20.8MiB live, 96.9MiB allocated
Counts
24 → 624
Calls
Call 1
Inputs
#<alt (/ (- 0 (sin a)) (/ 1 (sin b)))>
#<alt (* r (/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))))>
#<alt (/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b)))))>
#<alt (sin b)>
#<alt (+ (* b (* b (* r 1/3))) r)>
#<alt (* b (* r 1/3))>
#<alt (* r 1/3)>
#<alt (* b (+ (* b (* b (* r 1/3))) r))>
#<alt (/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 b))>
#<alt (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))>
#<alt (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))>
#<alt (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))>
#<alt (/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))) (/ 1 (sin b)))>
#<alt (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))>
#<alt (/ (+ 1 (/ b a)) (* a a))>
#<alt (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))))>
#<alt (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))>
#<alt (* r (/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))))>
#<alt (/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a)))))>
#<alt (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))>
#<alt (+ (* a (* a a)) (* b (* b b)))>
#<alt (/ 1 (+ (* a (- a b)) (* b b)))>
#<alt (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))>
#<alt (* (sin b) (- 0 (sin a)))>
Outputs
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin 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 (/ 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 r>
#<alt (+ r (* 1/3 (* (pow b 2) r)))>
#<alt (+ r (* 1/3 (* (pow b 2) r)))>
#<alt (+ r (* 1/3 (* (pow b 2) r)))>
#<alt (* 1/3 (* (pow b 2) r))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* 1/3 (* (pow b 2) r))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* r (+ 1 (* 1/3 (pow b 2))))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* -1 (* r (- (* -1/3 (pow b 2)) 1)))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 (* b r))>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* 1/3 r)>
#<alt (* b r)>
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))>
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))>
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))>
#<alt (* 1/3 (* (pow b 3) r))>
#<alt (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))>
#<alt (* 1/3 (* (pow b 3) r))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* b (* r (+ 1 (* 1/3 (pow b 2)))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos b))>
#<alt (+ (/ (* a (* b (* r (sin b)))) (pow (cos b) 2)) (/ (* b r) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* b r) (cos b)))))) (* -1 (/ (* b (* r (sin b))) (pow (cos b) 2))))) (/ (* b r) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* b (* r (sin b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* b (* r (sin b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* b (* r (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* b r) (cos b))))) (cos b)))))) (+ (* -1 (/ (* b (* r (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* b r) (cos b)))))) (* -1 (/ (* b (* r (sin b))) (pow (cos b) 2))))) (/ (* b r) (cos b)))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (/ (* b r) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (* b r) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (* b r) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (* b r) (cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 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 (- (* -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 (- (* 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 (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt (/ (* b r) (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
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#<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 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (* 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 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (* r (sin b))>
#<alt (+ (* a (* r (pow (sin b) 2))) (* r (sin b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (* r (pow (sin b) 3))) (* -1/2 (* r (sin b)))))) (* -1 (* r (pow (sin b) 2))))) (* r (sin b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* r (pow (sin b) 2))) (+ (* 1/6 (* r (pow (sin b) 2))) (* (sin b) (+ (* -1 (* r (pow (sin b) 3))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* r (pow (sin b) 3))) (* -1/2 (* r (sin b)))))) (* -1 (* r (pow (sin b) 2))))) (* r (sin b)))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* -1 (* b (+ (* -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 (+ (* 1/6 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))) (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) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (sin b)>
#<alt (+ (sin b) (* a (pow (sin b) 2)))>
#<alt (+ (sin b) (* a (- (* -1 (* a (+ (* -1 (pow (sin b) 3)) (* -1/2 (sin b))))) (* -1 (pow (sin b) 2)))))>
#<alt (+ (sin b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (pow (sin b) 2)) (+ (* 1/6 (pow (sin b) 2)) (* (sin b) (+ (* -1 (pow (sin b) 3)) (* -1/2 (sin b)))))))) (+ (* -1 (pow (sin b) 3)) (* -1/2 (sin b))))) (* -1 (pow (sin b) 2)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))>
#<alt (/ (sin b) (+ (cos a) (* -1 (* (sin a) (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 (pow b 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ a (pow b 3)))>
#<alt (+ (* a (+ (* -1 (/ (pow a 2) (pow b 5))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))>
#<alt (+ (* a (+ (* (pow a 2) (- (* -1 (/ a (pow b 6))) (/ 1 (pow b 5)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (/ b a)) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (/ b a)) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (/ 1 (pow a 2)) (/ b (pow a 3)))>
#<alt (+ (* b (+ (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))>
#<alt (+ (* b (+ (* (pow b 2) (- (* -1 (/ b (pow a 6))) (/ 1 (pow a 5)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ a b)) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ a b)) (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b))) (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b))) (pow b 2))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))>
#<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 (* b (* (sin a) (- (/ 1 (pow a 2)) 1/6)))) (* -1/2 (cos a)))) (sin a))))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))>
#<alt (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))>
#<alt (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))>
#<alt (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))>
#<alt (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
Calls

156 calls:

TimeVariablePointExpression
64.0ms
b
@0
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))) (/ 1 (sin b)))
2.0ms
r
@0
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))) (/ 1 (sin b)))
2.0ms
r
@inf
(* r 1/3)
1.0ms
b
@-inf
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 b))
1.0ms
b
@inf
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))) (/ 1 (sin b)))

rewrite388.0ms (2.7%)

Memory
8.4MiB live, 754.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 806×/-lowering-/.f32
4 806×/-lowering-/.f64
4 790×*-lowering-*.f32
4 790×*-lowering-*.f64
2 982×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048317
1286303
22496303
08858290
Stop Event
1×iter limit
1×node limit
Counts
24 → 862
Calls
Call 1
Inputs
(/ (- 0 (sin a)) (/ 1 (sin b)))
(* r (/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))))
(/ (sin b) (+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b)))))
(sin b)
(+ (* b (* b (* r 1/3))) r)
(* b (* r 1/3))
(* r 1/3)
(* b (+ (* b (* b (* r 1/3))) r))
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))) (/ 1 b))
(* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b))))))
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ 1 (+ (* a (- a b)) (* b b)))))
(/ (/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))) (/ 1 (sin b)))
(* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))
(/ (+ 1 (/ b a)) (* a a))
(/ r (cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a)))))
(+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))
(* r (/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a))))))
(/ (sin b) (+ (* 1 (cos a)) (* (sin b) (- 0 (sin a)))))
(+ (* (cos b) (cos a)) (/ (- 0 (sin a)) (/ 1 (sin b))))
(+ (* a (* a a)) (* b (* b b)))
(/ 1 (+ (* a (- a b)) (* b b)))
(cos (* (+ (* a (* a a)) (* b (* b b))) (/ (+ 1 (/ b a)) (* a a))))
(* (sin b) (- 0 (sin a)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))
(/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.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 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a))) (pow.f64 (sin.f64 b) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))))
(*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))) (+.f64 a b))
(*.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))) (+.f64 a b))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))))
(pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))) #s(literal -1 binary64)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 a (*.f64 a a)))) (cos.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 b (*.f64 b b))))) (*.f64 (sin.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 a (*.f64 a a)))) (sin.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 b (*.f64 b b))))))
(-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (cos.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (sin.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (sin.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) (*.f64 a (*.f64 a a))))))
(-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)))) (cos.f64 (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))) (*.f64 (sin.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)))) (sin.f64 (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))))
(-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)))) (cos.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))) (*.f64 (sin.f64 (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)))) (sin.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))
(/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.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 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a))) (pow.f64 (sin.f64 b) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (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 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (sin.f64 a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (sin.f64 b)) (sin.f64 a))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a)))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 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 a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (sin.f64 b))) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 a)))

simplify589.0ms (4.1%)

Memory
-32.9MiB live, 779.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 140×accelerator-lowering-fma.f32
10 140×accelerator-lowering-fma.f64
7 008×*-lowering-*.f32
7 008×*-lowering-*.f64
3 724×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08019887
125849363
085219079
Stop Event
1×iter limit
1×node limit
Counts
624 → 624
Calls
Call 1
Inputs
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ (* 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))))
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b
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a
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a
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a
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b
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(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (sin a) (- (/ 1 (pow a 2)) 1/6))) (pow (cos a) 2))) (+ (* -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 (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 (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/ (pow b 4) (pow a 3))
(/ (+ (* a (pow b 3)) (pow b 4)) (pow a 3))
(/ (+ (* a (+ (* (pow a 2) b) (pow b 3))) (pow b 4)) (pow a 3))
(/ (+ (* a (+ (* (pow a 2) (+ a b)) (pow b 3))) (pow b 4)) (pow a 3))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (+ (/ b a) (/ (pow b 3) (pow a 3)))))
(* a (+ 1 (+ (/ b a) (+ (/ (pow b 3) (pow a 3)) (/ (pow b 4) (pow a 4))))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (/ (pow b 3) (pow a 2))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ (/ (pow b 3) (pow a 2)) (/ (pow b 4) (pow a 3)))) a)) 1)))
a
(+ a b)
(+ a (* b (+ 1 (/ (pow b 2) (pow a 2)))))
(+ a (* b (+ 1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ b (pow a 3)))))))
(/ (pow b 4) (pow a 3))
(* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (+ (/ 1 (pow a 3)) (/ 1 (pow b 3)))))
(* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (+ (/ 1 (pow a 3)) (+ (/ 1 (pow b 3)) (/ a (pow b 4))))))
(/ (pow b 4) (pow a 3))
(* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(* (pow b 4) (+ (/ 1 (* (pow a 2) b)) (+ (/ 1 (pow a 3)) (/ 1 (pow b 3)))))
(* (pow b 4) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) b)) (/ 1 (pow a 3))))
(/ 1 (pow a 2))
(+ (/ 1 (pow a 2)) (/ b (pow a 3)))
(+ (/ 1 (pow a 2)) (/ b (pow a 3)))
(+ (/ 1 (pow a 2)) (/ b (pow a 3)))
(/ b (pow a 3))
(* b (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(* b (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(* b (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(/ b (pow a 3))
(* b (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(* b (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(* b (+ (/ 1 (* (pow a 2) b)) (/ 1 (pow a 3))))
(/ b (pow a 3))
(/ (+ a b) (pow a 3))
(/ (+ a b) (pow a 3))
(/ (+ a b) (pow a 3))
(/ 1 (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/ 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 (/ (* r (* (sin a) (- (/ 1 (pow a 2)) 1/6))) (pow (cos a) 2))) (+ (* -1/2 (/ (* 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 (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/ r (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/ r (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/ r (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/ r (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
1
(+ 1 (* -1 (* a (sin b))))
(+ 1 (* a (+ (* -1 (sin b)) (* -1/2 a))))
(+ 1 (* a (+ (* -1 (sin b)) (* a (- (* 1/6 (* a (sin b))) 1/2)))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(+ (cos a) (* -1 (* (sin a) (sin b))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* 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))))) (cos a))) (* 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 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(* r (sin b))
(+ (* a (* r (pow (sin b) 2))) (* r (sin b)))
(+ (* a (- (* -1 (* a (+ (* -1 (* r (pow (sin b) 3))) (* -1/2 (* r (sin b)))))) (* -1 (* r (pow (sin b) 2))))) (* r (sin b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* r (pow (sin b) 2))) (+ (* 1/6 (* r (pow (sin b) 2))) (* (sin b) (+ (* -1 (* r (pow (sin b) 3))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* r (pow (sin b) 3))) (* -1/2 (* r (sin b)))))) (* -1 (* r (pow (sin b) 2))))) (* r (sin b)))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (* r (sin b)) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* -1 (* b (+ (* -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 (+ (* 1/6 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))) (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) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(sin b)
(+ (sin b) (* a (pow (sin b) 2)))
(+ (sin b) (* a (- (* -1 (* a (+ (* -1 (pow (sin b) 3)) (* -1/2 (sin b))))) (* -1 (pow (sin b) 2)))))
(+ (sin b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (pow (sin b) 2)) (+ (* 1/6 (pow (sin b) 2)) (* (sin b) (+ (* -1 (pow (sin b) 3)) (* -1/2 (sin b)))))))) (+ (* -1 (pow (sin b) 3)) (* -1/2 (sin b))))) (* -1 (pow (sin b) 2)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (sin b)))))
(/ (sin b) (+ (cos a) (* -1 (* (sin a) (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)))
(pow b 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(pow a 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(pow b 3)
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ a (pow b 3)))
(+ (* a (+ (* -1 (/ (pow a 2) (pow b 5))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(+ (* a (+ (* (pow a 2) (- (* -1 (/ a (pow b 6))) (/ 1 (pow b 5)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (/ b a)) (pow a 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a))) (pow a 2))
(/ 1 (pow a 2))
(+ (/ 1 (pow a 2)) (/ b (pow a 3)))
(+ (* b (+ (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(+ (* b (+ (* (pow b 2) (- (* -1 (/ b (pow a 6))) (/ 1 (pow a 5)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ a b)) (pow b 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ a b)) (pow b 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b))) (pow b 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b))) (pow b 2))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1 (* b (* (sin a) (- (/ 1 (pow a 2)) 1/6)))) (* -1/2 (cos a)))) (sin a))))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* 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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
Outputs
(* -1 (* a (sin b)))
(*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(* 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)))))))))
(*.f64 a (fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64)))))))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* b (sin a)))
(*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(*.f64 b (-.f64 (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)))) (sin.f64 a)))
(* 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)))))))))
(*.f64 b (fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64)))))))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(/.f64 (*.f64 b r) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) b) (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r #s(literal -1/2 binary64))) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) a) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r #s(literal -1/2 binary64))) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (-.f64 (/.f64 (*.f64 (sin.f64 b) (*.f64 r #s(literal -1/2 binary64))) (cos.f64 b)) (/.f64 (*.f64 r (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)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(*.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 (-.f64 (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 #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 #s(literal 0 binary64) b) (/.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 b) (sin.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 b) (sin.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 b) (sin.f64 a))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ r (cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/ r (cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/.f64 r (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b 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))))
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(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
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(cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b 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 (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)) (-.f64 #s(literal 0 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 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(cos (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* b r) (cos a))
(/.f64 (*.f64 b r) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 (*.f64 b r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (sin a) (- (/ 1 (pow a 2)) 1/6))) (pow (cos a) 2))) (+ (* -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 (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 #s(literal 0 binary64) b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (cos.f64 a)) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) r) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (+.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (* r (sin b)) (cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a))))
(/ (pow b 4) (pow a 3))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))
(/ (+ (* a (pow b 3)) (pow b 4)) (pow a 3))
(/.f64 (fma.f64 a (*.f64 b (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (*.f64 a a)))
(/ (+ (* a (+ (* (pow a 2) b) (pow b 3))) (pow b 4)) (pow a 3))
(/.f64 (fma.f64 a (*.f64 b (fma.f64 a a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (*.f64 a a)))
(/ (+ (* a (+ (* (pow a 2) (+ a b)) (pow b 3))) (pow b 4)) (pow a 3))
(/.f64 (fma.f64 a (fma.f64 a (*.f64 a (+.f64 a b)) (*.f64 b (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (*.f64 a a)))
a
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
(* a (+ 1 (+ (/ b a) (/ (pow b 3) (pow a 3)))))
(fma.f64 a (fma.f64 b (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 b a)) a)
(* a (+ 1 (+ (/ b a) (+ (/ (pow b 3) (pow a 3)) (/ (pow b 4) (pow a 4))))))
(fma.f64 a (+.f64 (fma.f64 b (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 b a)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a) a)
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(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(+ (pow a 3) (pow b 3))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)))
(pow a 3)
(*.f64 a (*.f64 a a))
(+ (pow a 3) (pow b 3))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(+ (pow a 3) (pow b 3))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(+ (pow a 3) (pow b 3))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ a (pow b 3)))
(+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* a (+ (* -1 (/ (pow a 2) (pow b 5))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* a (+ (* (pow a 2) (- (* -1 (/ a (pow b 6))) (/ 1 (pow b 5)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(fma.f64 a (fma.f64 (*.f64 a a) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (/ b a)) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) (* -1 (/ b a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (+ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (*.f64 a a)))) (/.f64 b a)) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (/ b a)) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) a)) #s(literal 0 binary64)) a) b) a)) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (/ 1 (pow a 2)) (/ b (pow a 3)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 b (*.f64 a (*.f64 a a))))
(+ (* b (+ (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(fma.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(+ (* b (+ (* (pow b 2) (- (* -1 (/ b (pow a 6))) (/ 1 (pow a 5)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(fma.f64 b (fma.f64 (*.f64 b b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ a b)) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2)))) (* -1 (/ a b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 a b)) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ a b)) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 (/ (pow a 3) b))) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 a a)) b) (fma.f64 a #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b)) a) b)) (*.f64 b b))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (- (pow b 3) (* -1 (pow a 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1 (* b (* (sin a) (- (/ 1 (pow a 2)) 1/6)))) (* -1/2 (cos a)))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (+ 1 (/ b a)) (+ (pow a 3) (pow b 3))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(cos (/ (* (- 1 (* -1 (/ b a))) (- (pow a 3) (* -1 (pow b 3)))) (pow a 2)))
(cos.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 a a)))
(* -1 (* b (sin a)))
(*.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(*.f64 b (-.f64 (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)))) (sin.f64 a)))
(* 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)))))))))
(*.f64 b (fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64)))))))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* a (sin b)))
(*.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 b))))
(* 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)))))))))
(*.f64 a (fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64)))))))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
(* -1 (* (sin a) (sin b)))
(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))

eval214.0ms (1.5%)

Memory
38.3MiB live, 464.0MiB allocated
Compiler

Compiled 51 413 to 4 710 computations (90.8% saved)

prune303.0ms (2.1%)

Memory
-8.5MiB live, 753.7MiB allocated
Pruning

99 alts after pruning (94 fresh and 5 done)

PrunedKeptTotal
New1 659221 681
Fresh167288
Picked415
Done044
Total1 679991 778
Accuracy
100.0%
Counts
1 778 → 99
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
55.1%
(/.f64 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
99.4%
(/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
51.4%
(/.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
55.5%
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
55.5%
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
57.1%
(/.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) b))
79.5%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
61.6%
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
99.3%
(/.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
39.6%
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
64.5%
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
72.5%
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
29.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
54.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
4.2%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
17.7%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
20.5%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
27.3%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
27.3%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
18.3%
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
5.1%
(/.f64 (/.f64 r (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
43.8%
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
43.1%
(/.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
27.6%
(/.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
58.3%
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
54.8%
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))
16.4%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
79.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
23.5%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
59.4%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (cos.f64 a)))
37.0%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
79.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
55.3%
(/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a)))
✓61.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
31.4%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 b))
54.9%
(/.f64 (*.f64 r b) (cos.f64 a))
4.2%
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
5.7%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 b) r)) (*.f64 b (*.f64 b (cos.f64 a))))
79.6%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
99.4%
(/.f64 r (/.f64 (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
79.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
61.6%
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
54.9%
(/.f64 b (/.f64 (cos.f64 a) r))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 b) r)))
78.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
79.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
61.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
30.3%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
59.4%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (cos.f64 a))) r)
79.5%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
79.6%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
79.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
54.9%
(*.f64 (/.f64 b (cos.f64 a)) r)
13.9%
(*.f64 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
79.6%
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
99.4%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))))
61.7%
(*.f64 (tan.f64 b) r)
99.5%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))) r))
39.7%
(*.f64 (sin.f64 b) r)
51.8%
(*.f64 r (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.6%
(*.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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
54.8%
(*.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 (cos.f64 b) (cos.f64 a) (*.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))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
54.6%
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
54.6%
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
54.5%
(*.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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
54.6%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
55.0%
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 a b))))
56.0%
(*.f64 r (/.f64 (sin.f64 b) (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 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
88.2%
(*.f64 r (/.f64 (sin.f64 b) (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)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (*.f64 (sin.f64 b) (sin.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (sin.f64 a)))))
✓99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
68.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))))
62.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
55.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
35.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))
60.2%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 b))))
99.0%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
98.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))))
59.4%
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)) (cos.f64 a))))
58.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
98.9%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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)))))))))
79.6%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
15.9%
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
36.4%
(*.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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
✓36.4%
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
35.3%
(*.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))))
35.2%
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))))
35.4%
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓54.9%
(*.f64 b (/.f64 r (cos.f64 a)))
54.9%
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
14.8%
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
15.9%
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
✓36.5%
(*.f64 b r)
31.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 5 377 to 1 955 computations (63.6% saved)

regimes247.0ms (1.7%)

Memory
-4.9MiB live, 581.2MiB allocated
Counts
155 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
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(/.f64 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) 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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.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 r (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))) r))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 r (/.f64 (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))))))
(/.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (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)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (/.f64 r (fma.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1/2 binary64))) (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) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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 a a)))))) (-.f64 (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 a 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 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 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.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 r (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 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 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 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
Calls

5 calls:

53.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
47.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
45.0ms
b
43.0ms
r
41.0ms
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)

regimes194.0ms (1.3%)

Memory
-4.7MiB live, 340.8MiB allocated
Counts
124 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.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 #s(literal 1 binary64) b))
(/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a)))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 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 (/.f64 r (cos.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (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 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 b) r)) (*.f64 b (*.f64 b (cos.f64 a))))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (*.f64 a a)))) (/.f64 b a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (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 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(*.f64 r (/.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 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (*.f64 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 (cos.f64 b) (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 (sin.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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.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 (cos.f64 b) (cos.f64 a) (*.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))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(/.f64 (/.f64 r (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 a (sin.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) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (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 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 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.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 r (/.f64 (sin.f64 b) (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 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) 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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (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:

43.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
33.0ms
r
33.0ms
b
32.0ms
a
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1b
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes176.0ms (1.2%)

Memory
-28.1MiB live, 290.6MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.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 #s(literal 1 binary64) b))
(/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a)))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 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 (/.f64 r (cos.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (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 (+.f64 b a))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 b) r)) (*.f64 b (*.f64 b (cos.f64 a))))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (/.f64 a b) b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (fma.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (fma.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 a b)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (*.f64 a a)))) (/.f64 b a)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (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 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(*.f64 r (/.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 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (*.f64 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 (cos.f64 b) (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 (sin.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 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 a))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(*.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 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(/.f64 (/.f64 r (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.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 (cos.f64 b) (cos.f64 a) (*.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))) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(/.f64 (/.f64 r (cos.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (cos.f64 a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 a (sin.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) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (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 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 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.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 r (/.f64 (sin.f64 b) (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 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) 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 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

5 calls:

36.0ms
b
36.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
32.0ms
r
32.0ms
a
32.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
79.7%1r
79.7%1a
79.7%1b
79.7%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
79.7%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes71.0ms (0.5%)

Memory
28.0MiB live, 112.8MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.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 #s(literal 1 binary64) b))
(/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a)))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 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 (/.f64 r (cos.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

15.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
14.0ms
r
13.0ms
b
13.0ms
a
13.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
79.6%1r
79.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
79.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
79.6%1a
79.6%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes44.0ms (0.3%)

Memory
-8.4MiB live, 67.0MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.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 #s(literal 1 binary64) b))
(/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a)))
(*.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 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 a (-.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 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 (/.f64 r (cos.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (/.f64 (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
(/.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
Outputs
(*.f64 (tan.f64 b) r)
(/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a)))
(*.f64 (tan.f64 b) r)
Calls

3 calls:

14.0ms
b
14.0ms
r
12.0ms
a
Results
AccuracySegmentsBranch
64.9%2r
80.0%3a
80.2%3b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.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 #s(literal 1 binary64) b))
Outputs
(*.f64 (tan.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 (tan.f64 b) r)
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
80.2%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
-35.4MiB live, 14.8MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(*.f64 r (/.f64 b (cos.f64 (+.f64 a b))))
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 #s(literal 6 binary64) r) (*.f64 b (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 b #s(literal 1/6 binary64)))
(/.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) b))
Outputs
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (tan.f64 b) r)
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
80.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Memory
-3.0MiB live, 35.5MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
(*.f64 (tan.f64 b) r)
Outputs
(*.f64 (tan.f64 b) r)
Calls

3 calls:

6.0ms
r
5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
61.7%1r
61.7%1a
61.7%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 (sin.f64 b) r)
Calls

3 calls:

5.0ms
a
5.0ms
r
5.0ms
b
Results
AccuracySegmentsBranch
39.7%1a
39.7%1b
39.7%1r
Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-5.5MiB live, 33.7MiB allocated
Accuracy

Total -22.6b remaining (-55.5%)

Threshold costs -22.6b (-55.5%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 b r)
(*.f64 b (*.f64 r (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
(*.f64 r (*.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b b))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 b (*.f64 (*.f64 b b) (fma.f64 r #s(literal 1/3 binary64) (/.f64 r (*.f64 b b)))))
(*.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 (-.f64 (*.f64 r #s(literal -1/3 binary64)) (/.f64 r (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 b r))
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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 -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r))) b) (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b))) (*.f64 (*.f64 b r) (*.f64 b r))) (-.f64 (*.f64 (*.f64 b (*.f64 r #s(literal 1/3 binary64))) (*.f64 b b)) (*.f64 b r)))
Outputs
(*.f64 b r)
Calls

3 calls:

6.0ms
b
4.0ms
a
4.0ms
r
Results
AccuracySegmentsBranch
36.5%1r
36.5%1a
36.5%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch38.0ms (0.3%)

Memory
10.6MiB live, 49.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.0037989112216391284
0.08819440074728045
20.0ms
-0.055524576612826775
-2.3645969191071554e-7
Samples
17.0ms129×1valid
9.0ms127×0valid
Compiler

Compiled 447 to 318 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (38.8% of total)
ival-sin: 3.0ms (16.6% of total)
ival-add: 2.0ms (11.1% of total)
ival-div: 2.0ms (11.1% of total)
ival-mult: 2.0ms (11.1% of total)
adjust: 1.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
-6.0MiB live, 38.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.0037989112216391284
0.08819440074728045
20.0ms
-0.055524576612826775
-2.3645969191071554e-7
Samples
16.0ms121×1valid
8.0ms135×0valid
Compiler

Compiled 447 to 318 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.1% of total)
ival-sin: 3.0ms (18.5% of total)
ival-add: 2.0ms (12.4% of total)
ival-div: 2.0ms (12.4% of total)
ival-mult: 2.0ms (12.4% of total)
adjust: 1.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory
-10.3MiB live, 27.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
4.840222160987051e-24
9.941704460871631e-24
22.0ms
-2.3645969191071554e-7
-1.482243479459964e-11
Samples
12.0ms92×1valid
7.0ms116×0valid
Compiler

Compiled 249 to 183 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 4.0ms (32.1% of total)
ival-add: 2.0ms (16.1% of total)
ival-div: 2.0ms (16.1% of total)
ival-mult: 2.0ms (16.1% of total)
ival-sin: 2.0ms (16.1% of total)
adjust: 1.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061136
199136
2110136
3115136
4117136
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.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 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -662929865148937/288230376151711744 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5332261958806667/288230376151711744 binary64)) (/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a))) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 2478781234904721/576460752303423488 binary64)) (*.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 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -8500259669165361/37778931862957161709568 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 3334767195825197/340282366920938463463374607431768211456 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(*.f64 (tan.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 b r)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 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 -662929865148937/288230376151711744 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5332261958806667/288230376151711744 binary64)) (/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a))) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -662929865148937/288230376151711744 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 5332261958806667/288230376151711744 binary64)) (/.f64 (*.f64 r (/.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 2478781234904721/576460752303423488 binary64)) (*.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 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 2478781234904721/576460752303423488 binary64)) (*.f64 r (/.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 (+.f64 b a)))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -8500259669165361/37778931862957161709568 binary64)) (*.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 3334767195825197/340282366920938463463374607431768211456 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -8500259669165361/37778931862957161709568 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 3334767195825197/340282366920938463463374607431768211456 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(*.f64 b r)
(*.f64 r b)

soundness1.3s (9.2%)

Memory
5.0MiB live, 402.7MiB allocated
Rules
10 156×accelerator-lowering-fma.f32
10 156×accelerator-lowering-fma.f64
10 140×accelerator-lowering-fma.f32
10 140×accelerator-lowering-fma.f64
9 408×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
0822
13922
222922
3198422
01021522
052203
1312197
22422197
08943184
032184
1173141
21314141
08486138
08019887
125849363
085219079
07587272
124696990
083426700
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 425 to 247 computations (41.9% saved)

preprocess261.0ms (1.8%)

Memory
-19.4MiB live, 180.4MiB allocated
Remove

(negabs r)

Compiler

Compiled 642 to 346 computations (46.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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