rsin A (should all be same)

Time bar (total: 13.1s)

analyze335.0ms (2.6%)

Memory
-25.1MiB live, 331.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.9s (14.4%)

Memory
-80.9MiB live, 2 253.0MiB allocated
Samples
1.0s5 859×1valid
266.0ms2 397×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-cos: 321.0ms (31.6% of total)
ival-sin: 261.0ms (25.7% of total)
ival-mult: 174.0ms (17.1% of total)
adjust: 110.0ms (10.8% of total)
ival-add: 73.0ms (7.2% of total)
ival-div: 68.0ms (6.7% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess109.0ms (0.8%)

Memory
10.4MiB live, 48.7MiB allocated
Algorithm
egg-herbie
Rules
692×times-frac
392×associate-*r*
382×unsub-neg
370×div-sub
360×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs r)

explain151.0ms (1.2%)

Memory
-14.9MiB live, 237.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
66124(1.4611576530050406e-272 -2.3453832909350653e-163 1.4739125771463023e+54)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1901
Confusion
Predicted +Predicted -
+660
-12466
Precision
0.3473684210526316
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-124165
Precision?
0.34554973821989526
Recall?
1.0
Freqs
test
numberfreq
066
1190
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms358×1valid
12.0ms154×0valid
Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-cos: 35.0ms (46.8% of total)
ival-sin: 14.0ms (18.7% of total)
ival-add: 11.0ms (14.7% of total)
adjust: 6.0ms (8% of total)
ival-div: 4.0ms (5.3% of total)
ival-mult: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize48.0ms (0.4%)

Memory
-2.2MiB live, 36.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy78.1%
(cos.f64 (+.f64 a b))
Samples
34.0ms179×1valid
6.0ms77×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 14.0ms (49.3% of total)
ival-sin: 6.0ms (21.1% of total)
adjust: 3.0ms (10.6% of total)
ival-add: 2.0ms (7% of total)
ival-div: 2.0ms (7% of total)
ival-mult: 2.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
-15.9MiB live, 21.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>
Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(* r (sin b))
2.0ms
r
@0
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
r
@inf
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
b
@inf
(/ (* r (sin b)) (cos (+ a b)))
1.0ms
r
@-inf
(/ (* r (sin b)) (cos (+ a b)))

rewrite281.0ms (2.1%)

Memory
25.4MiB live, 499.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 510×lower-*.f32
6 508×lower-*.f64
3 846×lower-fma.f64
3 846×lower-fma.f32
3 176×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify395.0ms (3%)

Memory
-6.6MiB live, 553.7MiB allocated
Algorithm
egg-herbie
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
4 746×lower-*.f64
4 746×lower-*.f32
2 894×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval26.0ms (0.2%)

Memory
21.6MiB live, 60.4MiB allocated
Compiler

Compiled 3 879 to 535 computations (86.2% saved)

prune49.0ms (0.4%)

Memory
2.5MiB live, 122.6MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New20132233
Fresh000
Picked101
Done000
Total20232234
Accuracy
99.8%
Counts
234 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
33.7%
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
52.8%
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
52.9%
(/.f64 (*.f64 r (*.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)))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
53.9%
(/.f64 (*.f64 r (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)))
53.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
59.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
98.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
77.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
54.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
62.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
53.3%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
52.8%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
77.8%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
76.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
77.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
77.9%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
77.9%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
77.9%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
77.9%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
53.4%
(*.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))))
53.1%
(*.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))))
33.7%
(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)

simplify682.0ms (5.2%)

Memory
6.2MiB live, 354.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (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)))
cost-diff6080
(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))
cost-diff0
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
cost-diff0
(cos.f64 a)
cost-diff0
(*.f64 r b)
cost-diff0
(/.f64 (*.f64 r b) (cos.f64 a))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Rules
6 088×lower-fma.f32
6 080×lower-fma.f64
2 504×lower-*.f32
2 488×lower-*.f64
1 006×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032219
062219
1113219
2212219
3373219
4582219
51026219
61877219
72788219
83465219
94035219
104795219
115327219
125648219
135805219
145930219
156106219
166224219
176282219
186286219
196292219
206296219
216300219
226300219
236878219
247134219
257134219
267238219
277407219
287407219
297415219
307439219
317464219
327464219
337476219
07476219
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
a
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
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))
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))))
(fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
#s(literal -1/2 binary64)
(cos.f64 b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
a
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
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))
(fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))
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))))
(fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 b))
(*.f64 (cos.f64 b) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 b)

localize243.0ms (1.9%)

Memory
-15.1MiB live, 435.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.5%
(*.f64 a #s(literal 1/6 binary64))
accuracy95.1%
(/.f64 (*.f64 r (sin.f64 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)))
accuracy94.4%
(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))))
accuracy100.0%
(cos.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.8%
(*.f64 (sin.f64 b) a)
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
accuracy99.7%
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
accuracy78.1%
(cos.f64 (+.f64 b a))
accuracy100.0%
(*.f64 r b)
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(/.f64 (*.f64 r b) (cos.f64 a))
accuracy99.9%
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy99.8%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
164.0ms176×1valid
29.0ms80×0valid
Compiler

Compiled 232 to 38 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
const: 29.0ms (18.2% of total)
ival-mult: 27.0ms (17% of total)
ival-add: 26.0ms (16.4% of total)
ival-cos: 25.0ms (15.7% of total)
ival-sin: 22.0ms (13.8% of total)
ival-div: 13.0ms (8.2% of total)
adjust: 13.0ms (8.2% of total)
ival-sub: 2.0ms (1.3% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series245.0ms (1.9%)

Memory
-10.7MiB live, 184.6MiB allocated
Counts
19 → 468
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))>
#<alt (/.f64 (*.f64 r b) (cos.f64 a))>
#<alt (*.f64 r b)>
#<alt (cos.f64 a)>
#<alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)>
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))>
#<alt (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))>
#<alt (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))>
#<alt (/.f64 (*.f64 r (sin.f64 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)))>
#<alt (*.f64 (cos.f64 a) (cos.f64 b))>
#<alt (*.f64 (sin.f64 b) a)>
#<alt (cos.f64 b)>
#<alt (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))))>
#<alt (*.f64 a #s(literal 1/6 binary64))>
Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt 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 (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
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#<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 (* 6 (/ r (pow a 3)))>
#<alt (/ (+ (* 6 r) (* 18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r)) (pow a 2))) (* 6 r)) (* -18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (/ (* r (cos b)) (sin b))) (+ (* 3 (/ (* (cos b) (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r))) (sin b))) (* 36 (/ (* r (cos b)) (sin b))))) (pow a 3))) (* 6 r)) (+ (* -54 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2)))) (+ (* -36 (/ r (pow a 2))) (* -18 (/ (* r (cos b)) (* a (sin b))))))) (pow a 3))>
#<alt (* 6 (/ r (pow a 3)))>
#<alt (* -1 (/ (+ (* -18 (/ (* r (cos b)) (* a (sin b)))) (* -6 r)) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 r) (* -1 (/ (- (+ (* 36 (/ r a)) (* 54 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2))))) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 r) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (* r (cos b)) (* a (sin b)))) (+ (* -3 (/ (* (cos b) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) (* a (sin b)))) (* 36 (/ (* r (cos b)) (* a (sin b)))))) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) a)) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* a b)>
#<alt (* b (+ a (* -1/6 (* a (pow b 2)))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (* -1/2 a)>
#<alt (+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1)))>
#<alt (+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))>
#<alt (* -1 (sin b))>
#<alt (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))>
#<alt (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))>
#<alt (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))>
#<alt (* 1/6 (* (pow a 2) (sin b)))>
#<alt (* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))>
#<alt (* 1/6 (* (pow a 2) (sin b)))>
#<alt (* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
Calls

117 calls:

TimeVariablePointExpression
144.0ms
a
@-inf
(/ (* r (sin b)) (+ (* a (+ (* (sin b) (+ (* a (* a 1/6)) -1)) (* a (* -1/2 (cos b))))) (cos b)))
9.0ms
r
@0
(/ (* r (sin b)) (+ (* a (+ (* (sin b) (+ (* a (* a 1/6)) -1)) (* a (* -1/2 (cos b))))) (cos b)))
5.0ms
r
@inf
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
4.0ms
r
@0
(/ (* r b) (cos a))

rewrite321.0ms (2.5%)

Memory
-0.9MiB live, 518.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 508×lower-/.f32
4 498×lower-/.f64
4 338×lower-fma.f32
4 330×lower-fma.f64
4 180×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032155
062169
1232141
21702141
08281141
Stop Event
iter limit
node limit
iter limit
Counts
19 → 608
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(cos.f64 a)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (sin.f64 b) a)
(cos.f64 b)
(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))))
(*.f64 a #s(literal 1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.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 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 #s(literal 1 binary64) r)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(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 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(+.f64 (cos.f64 (+.f64 b a)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a))))
(+.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
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(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 b) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) a)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)

simplify421.0ms (3.2%)

Memory
44.5MiB live, 788.6MiB allocated
Algorithm
egg-herbie
Rules
9 038×lower-fma.f64
9 038×lower-fma.f32
7 502×lower-*.f64
7 502×lower-*.f32
3 206×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07306440
123096191
278716153
081705822
Stop Event
iter limit
node limit
Counts
468 → 467
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ 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))))
(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)))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(* b r)
(* b (+ r (* a (* b r))))
(* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))
(* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (/ (* a (* r (pow (sin b) 3))) (pow (cos b) 3)) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (/ (* a (* r (pow (sin b) 4))) (pow (cos b) 4)) (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* -1 (/ r a))
(/ (+ (* -1 r) (* -1 (/ (* r (cos b)) (* a (sin b))))) a)
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (cos b)) (* a (sin b)))) a)
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a)
(* -1 (/ r a))
(* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a))
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a))
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* b (- (* -1/2 b) a)))
(+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* -1 (* a (sin b))))
(* -1 (* a (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* -1 (* a (sin b)))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin 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))))))))
(* 1/6 (* (pow a 3) (sin b)))
(* (pow a 3) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (+ (* 1/6 (sin b)) (/ (cos b) (pow a 3))))))
(* 1/6 (* (pow a 3) (sin b)))
(* -1 (* (pow a 3) (+ (* -1/6 (sin b)) (* 1/2 (/ (cos b) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b)))))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1/2 (pow a 2)) (* a (* b (- (* 1/6 (pow a 2)) 1)))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* b (- (* 1/4 (pow a 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* b (- (+ (* -1/6 (* a (* b (- (* 1/6 (pow a 2)) 1)))) (* 1/4 (pow a 2))) 1/2))))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(* b (+ (* -1 (/ (* a (* b (* r (- (* 1/6 (pow a 2)) 1)))) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (* r (* (- (* 1/6 (pow a 2)) 1) (- (* 1/4 (pow a 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* -1/6 (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (- (* 1/6 (pow a 2)) 1))) (+ 1 (* -1/2 (pow a 2)))))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))
(/ (* 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)))
(* 6 (/ r (pow a 3)))
(/ (+ (* 6 r) (* 18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3))
(/ (- (+ (* -1 (/ (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r)) (pow a 2))) (* 6 r)) (* -18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3))
(/ (- (+ (* -1 (/ (+ (* -108 (/ (* r (cos b)) (sin b))) (+ (* 3 (/ (* (cos b) (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r))) (sin b))) (* 36 (/ (* r (cos b)) (sin b))))) (pow a 3))) (* 6 r)) (+ (* -54 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2)))) (+ (* -36 (/ r (pow a 2))) (* -18 (/ (* r (cos b)) (* a (sin b))))))) (pow a 3))
(* 6 (/ r (pow a 3)))
(* -1 (/ (+ (* -18 (/ (* r (cos b)) (* a (sin b)))) (* -6 r)) (pow a 3)))
(* -1 (/ (+ (* -6 r) (* -1 (/ (- (+ (* 36 (/ r a)) (* 54 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2))))) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3)))
(* -1 (/ (+ (* -6 r) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (* r (cos b)) (* a (sin b)))) (+ (* -3 (/ (* (cos b) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) (* a (sin b)))) (* 36 (/ (* r (cos b)) (* a (sin b)))))) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) a)) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3)))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* a b)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(* -1/2 a)
(+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1)))
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(* -1 (sin b))
(+ (* -1 (sin b)) (* -1/2 (* a (cos b))))
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))
(* 1/6 (* (pow a 2) (sin b)))
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))
(* 1/6 (* (pow a 2) (sin b)))
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 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 #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (neg.f64 r) (/.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)))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
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(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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 b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(* -1/2 a)
(*.f64 a #s(literal -1/2 binary64))
(+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1)))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1)))
(fma.f64 b (fma.f64 b (*.f64 a #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))) (*.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1)))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 a #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))) (*.f64 a #s(literal -1/2 binary64)))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(* -1 (sin b))
(sin.f64 (neg.f64 b))
(+ (* -1 (sin b)) (* -1/2 (* a (cos b))))
(fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 (neg.f64 b)))
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))
(* 1/6 (* (pow a 2) (sin b)))
(*.f64 (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))
(*.f64 a (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64)))))
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))) (/.f64 (sin.f64 b) (*.f64 a a))))
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))) (/.f64 (sin.f64 b) (*.f64 a a))))
(* 1/6 (* (pow a 2) (sin b)))
(*.f64 (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))
(*.f64 a (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (/.f64 (fma.f64 (cos.f64 b) #s(literal 1/2 binary64) (/.f64 (sin.f64 b) a)) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (/.f64 (fma.f64 (cos.f64 b) #s(literal 1/2 binary64) (/.f64 (sin.f64 b) a)) a)))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))

eval167.0ms (1.3%)

Memory
-13.5MiB live, 433.0MiB allocated
Compiler

Compiled 32 517 to 2 294 computations (92.9% saved)

prune291.0ms (2.2%)

Memory
-10.7MiB live, 322.5MiB allocated
Pruning

61 alts after pruning (58 fresh and 3 done)

PrunedKeptTotal
New1 207441 251
Fresh131427
Picked235
Done000
Total1 222611 283
Accuracy
100.0%
Counts
1 283 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
33.7%
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
53.5%
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
52.8%
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
53.5%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
53.4%
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
52.9%
(/.f64 (*.f64 r (*.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)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
53.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
63.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
58.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
37.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
59.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)))
38.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
89.2%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
99.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
54.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
37.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
62.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
41.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
36.2%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.3%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
37.0%
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
52.8%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
77.8%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
9.7%
(/.f64 r (neg.f64 a))
76.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
31.0%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
52.7%
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
99.0%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
56.2%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r)
59.6%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
99.5%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
53.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r)
99.5%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
77.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
62.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
57.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
77.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
77.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.1%
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
77.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
77.9%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
37.3%
(*.f64 r b)
31.0%
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
35.6%
(*.f64 b (fma.f64 r (*.f64 b a) r))
31.1%
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
53.3%
(*.f64 b (/.f64 r (cos.f64 a)))
12.0%
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
33.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
Compiler

Compiled 2 395 to 1 496 computations (37.5% saved)

simplify280.0ms (2.1%)

Memory
-18.8MiB live, 213.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff6336
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
cost-diff384
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
cost-diff0
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 r b)
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff320
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
cost-diff6016
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
Rules
3 124×lower-fma.f32
3 116×lower-fma.f64
1 876×lower-*.f32
1 862×lower-*.f64
1 320×distribute-lft-in
Iterations

Useful iterations: 23 (0.0ms)

IterNodesCost
029200
056200
188200
2118200
3174200
4274200
5374200
6686200
71165200
81552200
91816200
102391200
112750200
123214200
133533200
143634200
153781200
163997200
174203200
184783200
195840200
206356200
216476200
226680200
237442193
08060193
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
r
(*.f64 r b)
r
b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
a
(*.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
r
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(cos.f64 a)
Outputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
r
(*.f64 r b)
(*.f64 b r)
r
b
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
a
(*.f64 a #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
r
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sin.f64 b)) (sin.f64 a)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(cos.f64 a)

localize178.0ms (1.4%)

Memory
37.6MiB live, 391.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 a)
accuracy99.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy93.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
accuracy100.0%
(sin.f64 b)
accuracy99.7%
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
accuracy99.7%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
accuracy78.1%
(cos.f64 (+.f64 b a))
accuracy100.0%
(*.f64 a #s(literal -1/2 binary64))
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy97.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 r b)
accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
accuracy99.8%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
accuracy99.7%
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
accuracy99.7%
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
Samples
109.0ms176×1valid
24.0ms80×0valid
Compiler

Compiled 213 to 34 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-cos: 31.0ms (30.2% of total)
ival-mult: 21.0ms (20.4% of total)
ival-sin: 19.0ms (18.5% of total)
ival-div: 11.0ms (10.7% of total)
adjust: 10.0ms (9.7% of total)
ival-add: 9.0ms (8.8% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series131.0ms (1%)

Memory
-26.6MiB live, 215.5MiB allocated
Counts
18 → 432
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))>
#<alt (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)>
#<alt (sin.f64 b)>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))>
#<alt (*.f64 r b)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))>
#<alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))>
#<alt (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))>
#<alt (*.f64 a #s(literal -1/2 binary64))>
#<alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))>
#<alt (sin.f64 a)>
Outputs
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
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#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg 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 (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* a (sin (neg b)))>
#<alt (* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))>
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))>
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (* -1/2 a)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt a>
#<alt (* a (+ 1 (* -1/6 (pow a 2))))>
#<alt (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))>
#<alt (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
Calls

108 calls:

TimeVariablePointExpression
32.0ms
r
@0
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))
9.0ms
b
@inf
(/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
8.0ms
b
@-inf
(/ (* r (sin b)) (+ (* a (* a -1/2)) 1))
6.0ms
a
@-inf
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))
3.0ms
r
@0
(* (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))) r)

rewrite339.0ms (2.6%)

Memory
4.7MiB live, 646.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 506×lower-/.f32
4 496×lower-/.f64
4 420×lower-fma.f32
4 412×lower-fma.f64
3 698×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029145
056159
1188124
21305124
08441124
Stop Event
iter limit
node limit
iter limit
Counts
18 → 666
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(*.f64 r b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 r (sin.f64 b))
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(*.f64 a #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(sin.f64 a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (/.f64 (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)) (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
(*.f64 (/.f64 (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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
(*.f64 (/.f64 (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 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.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))))
(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 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 r) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (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))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b)))
(*.f64 (/.f64 (neg.f64 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 (neg.f64 (/.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 (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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
(*.f64 (/.f64 r (*.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 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 b)))
(sin.f64 b)
(neg.f64 (sin.f64 (neg.f64 b)))
(/.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (sin.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b)))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (cos.f64 (+.f64 b a)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
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(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (*.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (-.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))) (-.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a)))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))))
(sin.f64 a)

simplify366.0ms (2.8%)

Memory
26.8MiB live, 657.6MiB allocated
Algorithm
egg-herbie
Rules
9 906×lower-fma.f64
9 906×lower-fma.f32
6 414×lower-*.f64
6 414×lower-*.f32
3 404×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06186231
120096016
267085861
082805582
Stop Event
iter limit
node limit
Counts
432 → 424
Calls
Call 1
Inputs
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(* b (+ (* -1/6 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (* 1/120 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))) (* 1/120 (/ r (+ 1 (* -1/2 (pow a 2))))))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))
(* r (sin b))
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))
(+ (* r (sin b)) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* 1/8 (* (pow a 2) (* r (sin b)))) (* -1/4 (* r (sin b))))) (* -1/2 (* r (sin b))))))
(* -2 (/ (* r (sin b)) (pow a 2)))
(/ (+ (* -4 (/ (* r (sin b)) (pow a 2))) (* -2 (* r (sin b)))) (pow a 2))
(/ (- (+ (* -8 (/ (* r (sin b)) (pow a 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow a 2)))) (pow a 2))
(/ (- (+ (* -16 (/ (* r (sin b)) (pow a 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow a 2))) (* 8 (/ (* r (sin b)) (pow a 4))))) (pow a 2))
(* -2 (/ (* r (sin b)) (pow a 2)))
(/ (+ (* -4 (/ (* r (sin b)) (pow a 2))) (* -2 (* r (sin b)))) (pow a 2))
(/ (- (+ (* -8 (/ (* r (sin b)) (pow a 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow a 2)))) (pow a 2))
(/ (- (+ (* -16 (/ (* r (sin b)) (pow a 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow a 2))) (* 8 (/ (* r (sin b)) (pow a 4))))) (pow a 2))
(* 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))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* -1/2 (pow a 2)))
(* -1/2 (pow a 2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* -1/2 (pow a 2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) 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))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (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))) (sin b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2))))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b)))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2)))))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b))))))))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg 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)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* a (sin (neg b)))
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
a
(* a (+ 1 (* -1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
Outputs
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 b (*.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
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(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* -1/2 (* (pow b 2) (cos a)))
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* -1/2 (* (pow b 2) (cos a)))
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
a
(* a (+ 1 (* -1/6 (pow a 2))))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) a) a)
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 a (*.f64 a a)) a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)

eval209.0ms (1.6%)

Memory
15.6MiB live, 351.6MiB allocated
Compiler

Compiled 30 385 to 2 556 computations (91.6% saved)

prune271.0ms (2.1%)

Memory
-31.7MiB live, 469.6MiB allocated
Pruning

71 alts after pruning (66 fresh and 5 done)

PrunedKeptTotal
New1 159301 189
Fresh173653
Picked325
Done033
Total1 179711 250
Accuracy
100.0%
Counts
1 250 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
5.6%
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a))))
14.5%
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
37.4%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
62.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
53.5%
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
52.8%
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
53.5%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
35.5%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
38.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
52.9%
(/.f64 (*.f64 r (*.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)))
37.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
63.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
58.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
99.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
54.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
37.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
36.2%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.3%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
37.0%
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
52.8%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
35.7%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
53.7%
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
99.4%
(/.f64 r (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))))
99.5%
(/.f64 r (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (sin.f64 b)))
54.0%
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b))
38.4%
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
63.4%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))))
56.2%
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
71.1%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b)))
61.9%
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
99.5%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
59.9%
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
77.8%
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
9.7%
(/.f64 r (neg.f64 a))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
76.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
33.1%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
31.0%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
52.7%
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
56.2%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r)
59.6%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
99.5%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
53.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r)
99.5%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
77.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
62.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
57.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
77.8%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
99.1%
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
77.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
77.9%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
41.6%
(*.f64 (sin.f64 b) r)
37.3%
(*.f64 r b)
35.7%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
35.6%
(*.f64 b (fma.f64 r (*.f64 b a) r))
31.1%
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
36.4%
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
53.3%
(*.f64 b (/.f64 r (cos.f64 a)))
12.0%
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
33.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
Compiler

Compiled 2 568 to 1 633 computations (36.4% saved)

simplify217.0ms (1.7%)

Memory
28.0MiB live, 180.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 (neg.f64 b))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
cost-diff0
(*.f64 b r)
cost-diff0
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 b a))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
cost-diff0
(neg.f64 a)
cost-diff0
(/.f64 r (neg.f64 a))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
Rules
2 104×lower-fma.f32
2 098×lower-fma.f64
1 432×lower-*.f32
1 416×lower-*.f64
604×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031196
059196
198192
2156192
3295192
4479192
5670192
61102192
71795192
82268192
92556192
102934192
113163192
123302192
133360192
143364192
153370192
163397192
173468192
183488192
193488192
203492192
03492192
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
(/.f64 r (neg.f64 a))
r
(neg.f64 a)
a
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 #s(literal 1 binary64) (*.f64 b a))
#s(literal 1 binary64)
(*.f64 b a)
a
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(sin.f64 b)
b
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(*.f64 b r)
b
r
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(cos.f64 a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
(/.f64 r (neg.f64 a))
(/.f64 (neg.f64 r) a)
r
(neg.f64 a)
a
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 #s(literal 1 binary64) (*.f64 b a))
#s(literal 1 binary64)
(*.f64 b a)
a
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
#s(literal 1 binary64)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
r
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 r b) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 b r)
(*.f64 r b)
b
r
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(cos.f64 a)

localize188.0ms (1.4%)

Memory
-12.6MiB live, 355.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
accuracy100.0%
(sin.f64 a)
accuracy99.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
accuracy79.7%
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
accuracy99.6%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
accuracy78.1%
(cos.f64 (+.f64 b a))
accuracy100.0%
(sin.f64 b)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 b a))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy96.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
accuracy100.0%
(/.f64 r (neg.f64 a))
accuracy100.0%
(neg.f64 a)
accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
accuracy99.7%
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
Samples
109.0ms176×1valid
29.0ms80×0valid
Compiler

Compiled 206 to 35 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 28.0ms (26.4% of total)
ival-cos: 26.0ms (24.5% of total)
ival-sin: 18.0ms (17% of total)
ival-div: 11.0ms (10.4% of total)
adjust: 11.0ms (10.4% of total)
ival-add: 7.0ms (6.6% of total)
ival-sub: 2.0ms (1.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series94.0ms (0.7%)

Memory
13.4MiB live, 170.6MiB allocated
Counts
19 → 468
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))>
#<alt (/.f64 r (neg.f64 a))>
#<alt (neg.f64 a)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 b a))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)>
#<alt (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))>
#<alt (/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))>
#<alt (*.f64 b r)>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))>
#<alt (sin.f64 (neg.f64 b))>
#<alt (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))>
#<alt (sin.f64 a)>
Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt 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 (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (/ (* r (sin b)) (- 1 (* a b)))>
#<alt (* b r)>
#<alt (* b (+ r (* a (* b r))))>
#<alt (* b (+ r (* b (- (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))) (* -1 (* a r))))))>
#<alt (* b (+ r (* b (- (* b (- (+ (* -1/6 r) (* a (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))))) (* -1 (* (pow a 2) r)))) (* -1 (* a r))))))>
#<alt (* -1 (/ (* r (sin b)) (* a b)))>
#<alt (/ (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 2) b)))) b)>
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) (/ (* r (sin b)) (* (pow a 2) b))) b)>
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 4) (pow b 3))))) (+ (/ (* r (sin b)) (* (pow a 2) b)) (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) b)>
#<alt (* -1 (/ (* r (sin b)) (* a b)))>
#<alt (* -1 (/ (+ (/ (* r (sin b)) a) (/ (* r (sin b)) (* (pow a 2) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (sin b)) (* (pow a 3) b))) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (sin b)) (* (pow a 4) b)) (* -1 (/ (* r (sin b)) (pow a 3)))) b)) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b))>
#<alt (* r (sin b))>
#<alt (+ (* a (* b (* r (sin b)))) (* r (sin b)))>
#<alt (+ (* a (- (* a (* (pow b 2) (* r (sin b)))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))>
#<alt (+ (* a (- (* a (- (* a (* (pow b 3) (* r (sin b)))) (* -1 (* (pow b 2) (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))>
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#<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) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt a>
#<alt (* a (+ 1 (* -1/6 (pow a 2))))>
#<alt (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))>
#<alt (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
#<alt (sin a)>
Calls

117 calls:

TimeVariablePointExpression
18.0ms
r
@0
(/ (* b r) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))
5.0ms
r
@-inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
3.0ms
a
@inf
(/ (* b r) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a))))
2.0ms
r
@0
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
2.0ms
r
@inf
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))

rewrite361.0ms (2.8%)

Memory
-22.3MiB live, 452.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 298×lower-*.f32
5 282×lower-*.f64
5 104×lower-/.f32
5 094×lower-/.f64
2 796×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031140
059152
1200122
21359122
08682122
Stop Event
iter limit
node limit
iter limit
Counts
19 → 567
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(/.f64 r (neg.f64 a))
(neg.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(-.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(*.f64 b r)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(sin.f64 (neg.f64 b))
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(cos.f64 (+.f64 b a))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(sin.f64 a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (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 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (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 r #s(literal 1 binary64)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 a (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 (neg.f64 a))))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.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 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.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)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
(+.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)))
(+.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a)))
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)))
(fma.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a) (*.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) (*.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a)) (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a))))))
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 a))))
(sin.f64 a)
(neg.f64 (sin.f64 (neg.f64 a)))

simplify444.0ms (3.4%)

Memory
11.6MiB live, 646.2MiB allocated
Algorithm
egg-herbie
Rules
9 548×lower-fma.f64
9 548×lower-fma.f32
6 992×lower-*.f64
6 992×lower-*.f32
3 272×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07106216
123525968
276995951
080835633
Stop Event
iter limit
node limit
Counts
468 → 466
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(/ (* r (sin b)) (- 1 (* a b)))
(* b r)
(* b (+ r (* a (* b r))))
(* b (+ r (* b (- (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))) (* -1 (* a r))))))
(* b (+ r (* b (- (* b (- (+ (* -1/6 r) (* a (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))))) (* -1 (* (pow a 2) r)))) (* -1 (* a r))))))
(* -1 (/ (* r (sin b)) (* a b)))
(/ (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 2) b)))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) (/ (* r (sin b)) (* (pow a 2) b))) b)
(/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 4) (pow b 3))))) (+ (/ (* r (sin b)) (* (pow a 2) b)) (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) b)
(* -1 (/ (* r (sin b)) (* a b)))
(* -1 (/ (+ (/ (* r (sin b)) a) (/ (* r (sin b)) (* (pow a 2) b))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (sin b)) (* (pow a 3) b))) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (sin b)) (* (pow a 4) b)) (* -1 (/ (* r (sin b)) (pow a 3)))) b)) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b))
(* r (sin b))
(+ (* a (* b (* r (sin b)))) (* r (sin b)))
(+ (* a (- (* a (* (pow b 2) (* r (sin b)))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(+ (* a (- (* a (- (* a (* (pow b 3) (* r (sin b)))) (* -1 (* (pow b 2) (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))
(* -1 (/ (* r (sin b)) (* a b)))
(/ (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* a (pow b 2))))) a)
(/ (- (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* (pow a 2) (pow b 3))))) (/ (* r (sin b)) (* a (pow b 2)))) a)
(/ (- (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* (pow a 3) (pow b 4))))) (+ (/ (* r (sin b)) (* a (pow b 2))) (/ (* r (sin b)) (* (pow a 2) (pow b 3))))) a)
(* -1 (/ (* r (sin b)) (* a b)))
(* -1 (/ (+ (/ (* r (sin b)) b) (/ (* r (sin b)) (* a (pow b 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (sin b)) (* a (pow b 3)))) (/ (* r (sin b)) (pow b 2))) a)) (/ (* r (sin b)) b)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (sin b)) (* a (pow b 4))) (* -1 (/ (* r (sin b)) (pow b 3)))) a)) (/ (* r (sin b)) (pow b 2))) a)) (/ (* r (sin b)) b)) a))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* -1 (* a b)))
(+ 1 (* -1 (* a b)))
(* -1 (* a b))
(* b (- (/ 1 b) a))
(* b (- (/ 1 b) a))
(* b (- (/ 1 b) a))
(* -1 (* a b))
(* b (+ (* -1 a) (/ 1 b)))
(* b (+ (* -1 a) (/ 1 b)))
(* b (+ (* -1 a) (/ 1 b)))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* -1 (* a b)))
(+ 1 (* -1 (* a b)))
(* -1 (* a b))
(* a (- (/ 1 a) b))
(* a (- (/ 1 a) b))
(* a (- (/ 1 a) b))
(* -1 (* a b))
(* a (+ (* -1 b) (/ 1 a)))
(* a (+ (* -1 b) (/ 1 a)))
(* a (+ (* -1 b) (/ 1 a)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* 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))))
(* 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))))
(* -2 (/ r (* b (cos a))))
(/ (+ (* -4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ r (cos a)))) b)
(/ (- (+ (* -8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ r (cos a)))) (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2))))) b)
(/ (- (+ (* -16 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 3)) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ r (cos a)))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) b)
(* -2 (/ r (* b (cos a))))
(* -1 (/ (+ (* 2 (/ r (cos a))) (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2))))) b))
(* -1 (/ (+ (* 2 (/ r (cos a))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) b))
(* -1 (/ (+ (* 2 (/ r (cos a))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2)))) (+ (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* 16 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 3)) (* (pow b 6) (pow (cos a) 4))))))) b))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ 1 (* -1/2 (pow b 2))))
(+ (* -1 (/ (* a (* b (* r (sin (neg b))))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2))))) (+ (* -1/6 (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (* 1/2 (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))))) (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(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))))))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b)))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2)))))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b))))))))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))
(* -1 b)
(* b (- (* 1/6 (pow b 2)) 1))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(sin (neg b))
(sin (neg b))
(sin (neg b))
(sin (neg b))
(sin (* -1 b))
(sin (* -1 b))
(sin (* -1 b))
(sin (* -1 b))
(* -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)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* a (sin (neg b)))
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
a
(* a (+ 1 (* -1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
(sin a)
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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(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) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* -1/2 (* (pow b 2) (cos a)))
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* -1/2 (* (pow b 2) (cos a)))
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) a) (*.f64 b b)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
a
(* a (+ 1 (* -1/6 (pow a 2))))
(fma.f64 a (*.f64 (*.f64 #s(literal -1/6 binary64) a) a) a)
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) a)
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)
(sin a)
(sin.f64 a)

eval315.0ms (2.4%)

Memory
6.7MiB live, 304.5MiB allocated
Compiler

Compiled 27 584 to 2 294 computations (91.7% saved)

prune404.0ms (3.1%)

Memory
-14.5MiB live, 444.6MiB allocated
Pruning

92 alts after pruning (85 fresh and 7 done)

PrunedKeptTotal
New1 087291 116
Fresh55661
Picked325
Done055
Total1 095921 187
Accuracy
100.0%
Counts
1 187 → 92
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
14.5%
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
37.4%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
62.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
53.5%
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
52.8%
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
53.5%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
35.5%
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
36.2%
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
38.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
52.9%
(/.f64 (*.f64 r (*.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)))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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)))))
99.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
63.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
58.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
54.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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))) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
99.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
14.5%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
57.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
36.2%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.1%
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.3%
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
36.7%
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
53.3%
(/.f64 (*.f64 r b) (cos.f64 a))
52.8%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
35.7%
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
53.4%
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
53.2%
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
37.5%
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
53.7%
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
37.4%
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
55.7%
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
3.1%
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
99.4%
(/.f64 r (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))))
99.5%
(/.f64 r (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (sin.f64 b)))
54.0%
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b))
38.4%
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
63.4%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))))
56.2%
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
4.6%
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
4.6%
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
71.1%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b)))
61.9%
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
99.5%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
59.9%
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
77.8%
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
9.7%
(/.f64 r (neg.f64 a))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
37.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
76.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
10.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
37.2%
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
33.1%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
31.0%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
52.7%
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
56.2%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r)
59.6%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
99.5%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
53.9%
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r)
99.5%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
36.3%
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
37.8%
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
77.8%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
62.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
57.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
77.8%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
77.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
37.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
9.7%
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
99.1%
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
77.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
62.0%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
57.0%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
57.1%
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r))
99.5%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r))
62.0%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
57.0%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
37.8%
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
41.6%
(*.f64 (sin.f64 b) r)
37.3%
(*.f64 r b)
35.7%
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
35.6%
(*.f64 b (fma.f64 r (*.f64 b a) r))
31.1%
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
36.4%
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
53.3%
(*.f64 b (/.f64 r (cos.f64 a)))
12.0%
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
33.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
Compiler

Compiled 3 936 to 1 570 computations (60.1% saved)

regimes202.0ms (1.5%)

Memory
8.4MiB live, 267.9MiB allocated
Counts
136 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 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 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.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 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r)
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r (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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r))
(/.f64 r (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
(/.f64 r (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))))
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))))
(*.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))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Calls

4 calls:

66.0ms
b
55.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
38.0ms
r
37.0ms
a
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes228.0ms (1.7%)

Memory
-1.1MiB live, 156.1MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 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 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.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 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r)
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r (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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
Outputs
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
Calls

4 calls:

61.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
59.0ms
a
53.0ms
b
49.0ms
r
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes170.0ms (1.3%)

Memory
-22.4MiB live, 173.1MiB allocated
Counts
119 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 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 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.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 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r)
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r (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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
Outputs
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
Calls

4 calls:

50.0ms
a
44.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
39.0ms
r
30.0ms
b
Results
AccuracySegmentsBranch
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes134.0ms (1%)

Memory
26.3MiB live, 257.5MiB allocated
Counts
117 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 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 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.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 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r)
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r)
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b)))
(/.f64 (*.f64 r (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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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))) (sin.f64 a))))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
Calls

4 calls:

34.0ms
r
33.0ms
b
31.0ms
a
31.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
77.9%1r
77.9%1a
77.9%1b
77.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes68.0ms (0.5%)

Memory
-12.5MiB live, 115.6MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
Calls

4 calls:

19.0ms
r
16.0ms
a
16.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
15.0ms
b
Results
AccuracySegmentsBranch
77.7%3a
66.5%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.1%3b
62.0%1r
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.1%)

Memory
13.7MiB live, 52.2MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
78.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory
-10.1MiB live, 34.3MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
78.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes60.0ms (0.5%)

Memory
1.7MiB live, 117.2MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
Calls

4 calls:

15.0ms
r
14.0ms
b
14.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
13.0ms
a
Results
AccuracySegmentsBranch
57.0%1r
57.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
57.0%1a
57.0%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes67.0ms (0.5%)

Memory
-7.7MiB live, 74.0MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
Calls

4 calls:

21.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
18.0ms
b
13.0ms
r
13.0ms
a
Results
AccuracySegmentsBranch
57.8%3b
53.3%1r
53.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
53.3%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
(/.f64 (*.f64 r (*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (*.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 (sin.f64 b) r)
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
57.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.3%)

Memory
-19.7MiB live, 19.0MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))))
Outputs
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
Calls

1 calls:

43.0ms
b
Results
AccuracySegmentsBranch
57.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory
-11.7MiB live, 27.1MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b))))
Outputs
(*.f64 (sin.f64 b) r)
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r)
(*.f64 (sin.f64 b) r)
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
57.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b)))
Outputs
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (sin.f64 b) r)
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
57.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b)))
Outputs
(*.f64 (sin.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (sin.f64 b) r)
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
57.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes58.0ms (0.4%)

Memory
-1.4MiB live, 41.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sin.f64 b) r)
Outputs
(*.f64 (sin.f64 b) r)
Calls

4 calls:

37.0ms
b
7.0ms
a
6.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
6.0ms
r
Results
AccuracySegmentsBranch
41.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
41.6%1r
41.6%1a
41.6%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.5%)

Memory
-28.9MiB live, 48.9MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r))
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
Outputs
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
Calls

4 calls:

28.0ms
b
18.0ms
a
6.0ms
r
6.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
37.4%1b
37.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
37.4%1r
37.4%1a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Accuracy

Total -21.5b remaining (-53.7%)

Threshold costs -21.5b (-53.7%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 r b)
(/.f64 r (neg.f64 a))
(*.f64 b (fma.f64 r (*.f64 b a) r))
(*.f64 (/.f64 #s(literal -1 binary64) a) r)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r)))
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a))))
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 r b)
Calls

4 calls:

3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
a
3.0ms
b
3.0ms
r
Results
AccuracySegmentsBranch
37.3%1r
37.3%1a
37.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
37.3%1b
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch99.0ms (0.8%)

Memory
8.0MiB live, 46.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
96.06293373142105
200.93937132642142
83.0ms
-0.11419441107840535
-9.550848171899244e-5
Samples
15.0ms109×1valid
8.0ms99×0valid
Compiler

Compiled 301 to 222 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (36.2% of total)
ival-sin: 4.0ms (24.1% of total)
ival-add: 2.0ms (12.1% of total)
ival-div: 2.0ms (12.1% of total)
adjust: 2.0ms (12.1% of total)
ival-mult: 1.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
96.06293373142105
200.93937132642142
1.0ms
-0.11419441107840535
-9.550848171899244e-5
Compiler

Compiled 301 to 222 computations (26.2% saved)

bsearch1.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
96.06293373142105
200.93937132642142
1.0ms
-0.11419441107840535
-9.550848171899244e-5
Compiler

Compiled 301 to 222 computations (26.2% saved)

bsearch79.0ms (0.6%)

Memory
-30.1MiB live, 93.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
4.5298883552155056e-8
96.06293373142105
52.0ms
-3.241971245078001e+26
-427911832719.0078
Samples
51.0ms182×1valid
12.0ms122×0valid
Compiler

Compiled 718 to 470 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 18.0ms (33.5% of total)
ival-sin: 16.0ms (29.8% of total)
ival-cos: 11.0ms (20.5% of total)
adjust: 4.0ms (7.4% of total)
ival-add: 2.0ms (3.7% of total)
ival-div: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Memory
7.5MiB live, 46.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
4.5298883552155056e-8
96.06293373142105
42.0ms
-1.2628193066030426
-0.11419441107840535
Samples
34.0ms78×0valid
10.0ms66×1valid
Compiler

Compiled 495 to 329 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 28.0ms (70.8% of total)
ival-sin: 4.0ms (10.1% of total)
ival-cos: 4.0ms (10.1% of total)
ival-add: 1.0ms (2.5% of total)
adjust: 1.0ms (2.5% of total)
ival-mult: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.5298883552155056e-8
96.06293373142105
1.0ms
-3.241971245078001e+26
-427911832719.0078
Compiler

Compiled 528 to 356 computations (32.6% saved)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.5298883552155056e-8
96.06293373142105
1.0ms
-3.241971245078001e+26
-427911832719.0078
Compiler

Compiled 528 to 356 computations (32.6% saved)

bsearch7.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
4.5298883552155056e-8
96.06293373142105
1.0ms
-3.241971245078001e+26
-427911832719.0078
Samples
2.0ms13×1valid
2.0ms19×0valid
Compiler

Compiled 357 to 261 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 1.0ms (33.5% of total)
ival-cos: 1.0ms (33.5% of total)
ival-add: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory
-39.4MiB live, 5.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
4.5298883552155056e-8
96.06293373142105
1.0ms
-3.241971245078001e+26
-427911832719.0078
Compiler

Compiled 357 to 261 computations (26.9% saved)

simplify12.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Algorithm
egg-herbie
Rules
52×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100351
1136351
2148351
3155351
4159351
5160351
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -5/4 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 (*.f64 r (*.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 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 r b)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -5/4 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 (*.f64 r (*.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 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -5/4 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 r (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a)))) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (*.f64 r b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 r b)

soundness1.8s (14%)

Memory
3.1MiB live, 1 363.5MiB allocated
Rules
10 934×lower-fma.f64
10 934×lower-fma.f32
9 906×lower-fma.f64
9 906×lower-fma.f32
9 548×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167960
1517928
21595886
35409885
08292853
06186231
120096016
267085861
082805582
0819
01319
14419
223419
3205019
0844119
07306440
123096191
278716153
081705822
07106216
123525968
276995951
080835633
032155
062169
1232141
21702141
08281141
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 108 to 611 computations (44.9% saved)

preprocess300.0ms (2.3%)

Memory
11.6MiB live, 205.6MiB allocated
Remove

(negabs r)

Compiler

Compiled 960 to 364 computations (62.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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